CBSE Class 12 Physics 2025 question paper (55/1)
Maximum marks 70 · Time 3 hours · 3 sets
Try each question first, then open its model answer. Where the paper offers a choice, both questions are shown with OR between them.
Section A
1 mark each
- Q.11 markFigure shows variation of Coulomb force (F) acting between two point charges with , r being the separation between the two charges and . If is positive and least in magnitude, then the magnitudes of , and are such that
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- Q.21 markTwo wires P and Q are made of the same material. The wire Q has twice the diameter and half the length as that of wire P. If the resistance of wire P is R, the resistance of the wire Q will be
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- Q.31 markA 1 cm segment of a wire lying along x-axis carries current of 0.5 A along +x direction. A magnetic field is switched on, in the region. The force acting on the segment is
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- Q.41 markA coil has 100 turns, each of area 0.05 and total resistance 1.5 . It is inserted at an instant in a magnetic field of 90 mT, with its axis parallel to the field. The charge induced in the coil at that instant is :
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- Q.51 markYou are required to design an air-filled solenoid of inductance 0.016 H having a length 0.81 m and radius 0.02 m. The number of turns in the solenoid should be
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- Q.61 markA voltage applied to a circuit drives a current in the circuit. The average power consumed in the circuit over a cycle is
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- Q.71 markThe given diagram exhibits the relationship between the wavelength of the electromagnetic waves and the energy of photon associated with them. The three points P, Q and R marked on the diagram may correspond respectively to :
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- Q.81 markA beaker is filled with water (refractive index ) upto a height H. A coin is placed at its bottom. The depth of the coin, when viewed along the near normal direction, will be
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- Q.91 markThe stopping potential measured in a photoelectric experiment for a metal surface is plotted against frequency of the incident radiation. Let m be the slope of the straight line so obtained. Then the value of charge of an electron is given by (h is the Planck's constant.)
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- Q.101 markLet , and be the wavelengths associated with an electron, a proton and a deuteron, all moving with the same speed. Then the correct relation between them is
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- Q.111 markWhich of the following figures correctly represent the shape of curve of binding energy per nucleon as a function of mass number ?
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- Q.121 markWhen a p-n junction diode is forward biased
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- Note : Question numbers 13 to 16 are Assertion (A) and Reason (R) type questions. Two statements are given – one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the codes (A), (B), (C) and (D) as given below :Q.131 markAssertion (A) : It is difficult to move a magnet into a coil of large number of turns when the circuit of the coil is closed. Reason (R) : The direction of induced current in a coil with its circuit closed, due to motion of a magnet, is such that it opposes the cause.
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- Q.141 markAssertion (A) : The deflection in a galvanometer is directly proportional to the current passing through it. Reason (R) : The coil of a galvanometer is suspended in a uniform radial magnetic field.
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- Q.151 markAssertion (A) : We cannot form a p-n junction diode by taking a slab of a p-type semiconductor and physically joining it to another slab of a n-type semiconductor. Reason (R) : In a p-type semiconductor while in a n-type semiconductor .
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- Q.161 markAssertion (A) : The potential energy of an electron revolving in any stationary orbit in a hydrogen atom is positive. Reason (R) : The total energy of a charged particle is always positive.
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Section B
2 marks each
- Q.172 marksA battery of emf E and internal resistance r is connected to a rheostat. When a current of 2A is dawn from the battery, the potential difference across the rheostat is 5V. The potential difference becomes 4V when a current of 4A is drawn from the battery. Calculate the value of E and r.
- Q.18 (a)2 marksIn a diffraction experiment, the slit is illuminated by light of wavelength 600 nm. The first minimum of the pattern falls at . Calculate the width of the slit.
OR
Q.18 (b)2 marksIn a Young's double-slit experiment, two light waves, each of intensity , interfere at a point, having a path difference on the screen. Find the intensity at this point.- Q.192 marksA transparent solid cylindrical rod (refractive index ) is kept in air. A ray of light incident on its face travels along the surface of the rod, as shown in figure. Calculate the angle .
- Q.202 marksProve that, in Bohr model of hydrogen atom, the time period of revolution of an electron in orbit is proportional to .
- Q.212 marksA p-type Si semiconductor is made by doping an average of one dopant atom per silicon atoms. If the number density of silicon atoms in the specimen is atoms , find the number of holes created per cubic centimetre in the specimen due to doping. Also give one example of such dopants.
Section C
3 marks each
- Q.22 (a)3 marksTwo batteries of emf's 3V & 6V and internal resistances 0.2 & 0.4 are connected in parallel. This combination is connected to a 4 resistor. Find : (i) the equivalent emf of the combination (ii) the equivalent internal resistance of the combination (iii) the current drawn from the combination
OR
Q.22 (b)3 marks(i) A conductor of length is connected across an ideal cell of emf E. Keeping the cell connected, the length of the conductor is increased to by gradually stretching it. If R and are initial and final values of resistance and and are initial and final values of drift velocity, find the relation between (i) and R and (ii) and . (ii) When electrons drift in a conductor from lower to higher potential, does it mean that all the 'free electrons' of the conductor are moving in the same direction ?- Q.233 marksUsing Biot-Savart law, derive expression for the magnetic field due to a circular current carrying loop at a point on its axis and hence at its centre.
- Q.243 marks(a) Show that the energy required to build up the current I in a coil of inductance L is . (b) Considering the case of magnetic field produced by air-filled current carrying solenoid, show that the magnetic energy density of a magnetic field B is .
- Q.253 marks(a) A parallel plate capacitor is charged by an ac source. Show that the sum of conduction current and the displacement current has the same value at all points of the circuit. (b) In case (a) above, is Kirchhoff's first rule (junction rule) valid at each plate of the capacitor ? Explain.
- Q.263 marksAnswer the following giving reason : (a) All the photo electrons do not eject with the same kinetic energy when monochromatic light is incident on a metal surface. (b) The saturation current in case (a) is different for different intensity. (c) If one goes on increasing the wavelength of light incident on a metal surface, keeping its intensity constant, emission of photo electrons stop at a certain wavelength for this metal.
- Q.273 marks(a) Define 'Mass defect' and 'Binding energy' of a nucleus. Describe 'Fission process' on the basis of binding energy per nucleon. (b) A deuteron contains a proton and a neutron and has a mass of 2.013553 u. Calculate the mass defect for it in u and its energy equivalence in MeV.
- Q.283 marks(a) Draw circuit arrangement for studying V-I characteristics of a p-n junction diode. (b) Show the shape of the characteristics of a diode. (c) Mention two information that you can get from these characteristics.
Section D
1 mark each
- A circuit consisting of a capacitor C, a resistor of resistance R and an ideal battery of emf V, as shown in figure is known as RC series circuit. As soon as the circuit is completed by closing key (keeping open) charges begin to flow between the capacitor plates and the battery terminals. The charge on the capacitor increases and consequently the potential difference (= q/C) across the capacitor also increases with time. When this potential difference equals the potential difference across the battery, the capacitor is fully charged (Q = VC). During this process of charging, the charge q on the capacitor changes with time t as The charging current can be obtained by differentiating it and using . Consider the case when R = 20 k, C = 500 F and V = 10 V.Q.29 (i)1 markThe final charge on the capacitor, when key is closed and is open, is
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- Q.29 (ii)1 markFor sufficient time the key is closed and is open. Now key is closed and is open. What is the final charge on the capacitor ?
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- Q.29 (iii)1 markThe dimensional formula for RC is
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- Q.29 (iv) (a)1 markThe key is closed and is open. The value of current in the resistor after 5 seconds, is
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OR
Q.29 (iv) (b)1 markThe key is closed and is open. The initial value of charging current in the resistor, isTap an option to check your answer.
- A thin lens is a transparent optical medium bounded by two surfaces, at least one of which should be spherical. Applying the formula for image formation by a single spherical surface successively at the two surfaces of a lens, one can obtain the 'lens maker formula' and then the 'lens formula'. A lens has two foci – called 'first focal point' and 'second focal point' of the lens, one on each side.Q.30 (i)1 markConsider the arrangement shown in figure. A black vertical arrow and a horizontal thick line with a ball are painted on a glass plate. It serves as the object. When the plate is illuminated, its real image is formed on the screen. Which of the following correctly represents the image formed on the screen ?
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- Q.30 (ii)1 markWhich of the following statements is incorrect ?
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- Q.30 (iii) (a)1 markA convex lens of focal length 'f' is cut into two equal parts perpendicular to the principal axis. The focal length of each part will be :
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OR
Q.30 (iii) (b)1 markIf an object in case (i) above is 20 cm from the lens and the screen is 50 cm away from the object, the focal length of the lens used isTap an option to check your answer.
- Q.30 (iv)1 markThe distance of an object from first focal point of a biconvex lens is and distance of the image from second focal point is . The focal length of the lens is
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Section E
5 marks each
- Q.31 (a)5 marks(i) Two point charges 5 C and C are placed at points and respectively. An external electric field where Vm is switched on in the region. Calculate the change in electrostatic energy of the system due to the electric field. (ii) A system of two conductors is placed in air and they have net charge of C and C which causes a potential difference of 16 V between them. (1) Find the capacitance of the system. (2) If the air between the capacitor is replaced by a dielectric medium of dielectric constant 3, what will be the potential difference between the two conductors ? (3) If the charges on two conductors are changed to C and C, will the capacitance of the system change ? Give reason for your answer.
OR
Q.31 (b)5 marks(i) Consider three metal spherical shells A, B and C, each of radius R. Each shell is having a concentric metal ball of radius R/10. The spherical shells A, B and C are given charges , , and respectively. Their inner metal balls are also given charges , and respectively. Compare the magnitude of the electric fields due to shells A, B and C at a distance 3R from their centres. (ii) A charge C is placed at the centre B of a semicircle of radius 5 cm, as shown in the figure. An equal and opposite charge is placed at point D at a distance of 10 cm from B. A charge C is moved from point 'C' to point 'A' along the circumference. Calculate the work done on the charge.- Q.32 (a)5 marks(i) A proton moving with velocity in a non-uniform magnetic field traces a path as shown in the figure. The path followed by the proton is always in the plane of the paper. What is the direction of the magnetic field in the region near points P, Q and R ? What can you say about relative magnitude of magnetic fields at these points ? (ii) A current carrying circular loop of area A produces a magnetic field B at its centre. Show that the magnetic moment of the loop is .
OR
Q.32 (b)5 marks(i) Derive an expression for the torque acting on a rectangular current loop suspended in a uniform magnetic field. (ii) A charged particle is moving in a circular path with velocity in a uniform magnetic field . It is made to pass through a sheet of lead and as a consequence, it looses one half of its kinetic energy without change in its direction. How will (1) the radius of its path (2) its time period of revolution change ?- Q.33 (a)5 marks(i) (1) What are coherent sources ? Why are they necessary for observing a sustained interference pattern ? (2) Lights from two independent sources are not coherent. Explain. (ii) Two slits 0.1 mm apart are arranged 1.20 m from a screen. Light of wavelength 600 nm from a distant source is incident on the slits. (1) How far apart will adjacent bright interference fringes be on the screen ? (2) Find the angular width (in degree) of the first bright fringe.
OR
Q.33 (b)5 marks(i) Define a wavefront. An incident plane wave falls on a convex lens and gets refracted through it. Draw a diagram to show the incident and refracted wavefront. (ii) A beam of light coming from a distant source is refracted by a spherical glass ball (refractive index 1.5) of radius 15 cm. Draw the ray diagram and obtain the position of the final image formed.
Section A
1 mark each
- Q.11 markIn the figure curved lines represent equipotential surfaces. A charge Q is moved along different paths A, B, C and D. The work done on the charge will be maximum along the path
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- Q.21 markThe resistance of a wire of length L and radius r is R. Which one of the following would provide a wire of the same material of resistance ?
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- Q.31 markA 1 cm segment of a wire lying along x-axis carries current of 0.5 A along +x direction. A magnetic field is switched on, in the region. The force acting on the segment is
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- Q.41 markA circular coil of diameter 15 mm having 300 turns is placed in a magnetic field of 30 mT such that the plane of the coil is perpendicular to the direction of magnetic field. The magnetic field is reduced uniformly to zero in 20 ms and again increased uniformly to 30 mT in 40 ms. If the emfs induced in the two time intervals are and respectively, then the value of is
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- Q.51 markYou are required to design an air-filled solenoid of inductance 0.016 H having a length 0.81 m and radius 0.02 m. The number of turns in the solenoid should be
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- Q.61 markA voltage applied to a circuit drives a current in the circuit. The average power consumed in the circuit over a cycle is
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- Q.71 markWhich one of the following correctly represents the change in wave characteristics (all in vacuum) from microwaves to X-rays in electromagnetic spectrum ?
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- Q.81 markThe speed of light in two media '1' and '2' are and respectively. For a ray of light to undergo total internal reflection at the interface of these two media, it must be incident from
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- Q.91 markA source produces monochromatic light of frequency Hz and the power emitted is 3.31 mW. The number of photons emitted per second by the source, on an average is
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- Q.101 markWhich of the following figures correctly represent the shape of curve of binding energy per nucleon as a function of mass number ?
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- Q.111 markWhen a p-n junction diode is forward biased
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- Q.121 markLet , and be the wavelengths associated with an electron, a proton and a deuteron, all moving with the same speed. Then the correct relation between them is
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- Note : Question numbers 13 to 16 are Assertion (A) and Reason (R) type questions. Two statements are given – one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the codes (A), (B), (C) and (D) as given below :Q.131 markAssertion (A) : The potential energy of an electron revolving in any stationary orbit in a hydrogen atom is positive. Reason (R) : The total energy of a charged particle is always positive.
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- Q.141 markAssertion (A) : We cannot form a p-n junction diode by taking a slab of a p-type semiconductor and physically joining it to another slab of a n-type semiconductor. Reason (R) : In a p-type semiconductor while in a n-type semiconductor .
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- Q.151 markAssertion (A) : The deflection in a galvanometer is directly proportional to the current passing through it. Reason (R) : The coil of a galvanometer is suspended in a uniform radial magnetic field.
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- Q.161 markAssertion (A) : It is difficult to move a magnet into a coil of large number of turns when the circuit of the coil is closed. Reason (R) : The direction of induced current in a coil with its circuit closed, due to motion of a magnet, is such that it opposes the cause.
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Section B
2 marks each
- Q.172 marksShow that leads to Ohm's law. Write a condition in which the Ohm's law is not valid for a material.
- Q.18 (a)2 marksIn a diffraction experiment, the slit is illuminated by light of wavelength 600 nm. The first minimum of the pattern falls at . Calculate the width of the slit.
OR
Q.18 (b)2 marksIn a Young's double-slit experiment, two light waves, each of intensity , interfere at a point, having a path difference on the screen. Find the intensity at this point.- Q.192 marksA spherical convex surface of radius of curvature R separates glass (refractive index 1.5) from air. Light from a point source placed in air at distance R/2 from the surface falls on it. Find the position and nature of the image formed.
- Q.202 marksThe energy of an electron in an orbit of Bohr hydrogen atom is eV. Find its angular momentum.
- Q.212 marksA p-type Si semiconductor is made by doping an average of one dopant atom per silicon atoms. If the number density of silicon atoms in the specimen is atoms , find the number of holes created per cubic centimetre in the specimen due to doping. Also give one example of such dopants.
Section C
3 marks each
- Q.22 (a)3 marksTwo batteries of emf's 3V & 6V and internal resistances 0.2 & 0.4 are connected in parallel. This combination is connected to a 4 resistor. Find : (i) the equivalent emf of the combination (ii) the equivalent internal resistance of the combination (iii) the current drawn from the combination
OR
Q.22 (b)3 marks(i) A conductor of length is connected across an ideal cell of emf E. Keeping the cell connected, the length of the conductor is increased to by gradually stretching it. If R and are initial and final values of resistance and and are initial and final values of drift velocity, find the relation between (i) and R and (ii) and . (ii) When electrons drift in a conductor from lower to higher potential, does it mean that all the 'free electrons' of the conductor are moving in the same direction ?- Q.233 marks(a) Define magnetic moment of a current-carrying coil. Write its SI unit. (b) A coil of 60 turns and area carrying 2A current lies in a vertical plane. It experiences a torque of 0.12 Nm when placed in a uniform horizontal magnetic field. The torque acting on the coil changes to 0.05 Nm after the coil is rotated about its diameter by , in the magnetic field. Find the magnitude of the magnetic field.
- Q.243 marksConsider two long co-axial solenoids and , each of length and of radius and . The number of turns per unit length are and respectively. Derive an expression for mutual inductance of solenoid with respect to solenoid . Show that .
- Q.253 marks(a) A parallel plate capacitor is charged by an ac source. Show that the sum of conduction current and the displacement current has the same value at all points of the circuit. (b) In case (a) above, is Kirchhoff's first rule (junction rule) valid at each plate of the capacitor ? Explain.
- Q.263 marks(a) Draw a plot of frequency of incident radiations as a function of stopping potential for a given photo emissive material. What information can be obtained from the value of the intercept on the stopping potential axis ? (b) Calculate : (i) the momentum and (ii) de Broglie wavelength, of an electron with kinetic energy of 80 eV.
- Q.273 marks(a) Draw circuit arrangement for studying V-I characteristics of a p-n junction diode. (b) Show the shape of the characteristics of a diode. (c) Mention two information that you can get from these characteristics.
- Q.283 marks(a) Define 'Mass defect' and 'Binding energy' of a nucleus. Describe 'Fission process' on the basis of binding energy per nucleon. (b) A deuteron contains a proton and a neutron and has a mass of 2.013553 u. Calculate the mass defect for it in u and its energy equivalence in MeV.
Section D
1 mark each
- A thin lens is a transparent optical medium bounded by two surfaces, at least one of which should be spherical. Applying the formula for image formation by a single spherical surface successively at the two surfaces of a lens, one can obtain the 'lens maker formula' and then the 'lens formula'. A lens has two foci – called 'first focal point' and 'second focal point' of the lens, one on each side.Q.29 (i)1 markConsider the arrangement shown in figure. A black vertical arrow and a horizontal thick line with a ball are painted on a glass plate. It serves as the object. When the plate is illuminated, its real image is formed on the screen. Which of the following correctly represents the image formed on the screen ?
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- Q.29 (ii)1 markWhich of the following statements is incorrect ?
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- Q.29 (iii) (a)1 markA convex lens of focal length 'f' is cut into two equal parts perpendicular to the principal axis. The focal length of each part will be :
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OR
Q.29 (iii) (b)1 markIf an object in case (i) above is 20 cm from the lens and the screen is 50 cm away from the object, the focal length of the lens used isTap an option to check your answer.
- Q.29 (iv)1 markThe distance of an object from first focal point of a biconvex lens is and distance of the image from second focal point is . The focal length of the lens is
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- A circuit consisting of a capacitor C, a resistor of resistance R and an ideal battery of emf V, as shown in figure is known as RC series circuit. As soon as the circuit is completed by closing key (keeping open) charges begin to flow between the capacitor plates and the battery terminals. The charge on the capacitor increases and consequently the potential difference (= q/C) across the capacitor also increases with time. When this potential difference equals the potential difference across the battery, the capacitor is fully charged (Q = VC). During this process of charging, the charge q on the capacitor changes with time t as The charging current can be obtained by differentiating it and using . Consider the case when R = 20 k, C = 500 F and V = 10 V.Q.30 (i)1 markThe final charge on the capacitor, when key is closed and is open, is
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- Q.30 (ii)1 markFor sufficient time the key is closed and is open. Now key is closed and is open. What is the final charge on the capacitor ?
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- Q.30 (iii)1 markThe dimensional formula for RC is
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- Q.30 (iv) (a)1 markThe key is closed and is open. The value of current in the resistor after 5 seconds, is
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OR
Q.30 (iv) (b)1 markThe key is closed and is open. The initial value of charging current in the resistor, isTap an option to check your answer.
Section E
5 marks each
- Q.31 (a)5 marks(i) (1) What are coherent sources ? Why are they necessary for observing a sustained interference pattern ? (2) Lights from two independent sources are not coherent. Explain. (ii) Two slits 0.1 mm apart are arranged 1.20 m from a screen. Light of wavelength 600 nm from a distant source is incident on the slits. (1) How far apart will adjacent bright interference fringes be on the screen ? (2) Find the angular width (in degree) of the first bright fringe.
OR
Q.31 (b)5 marks(i) Define a wavefront. An incident plane wave falls on a convex lens and gets refracted through it. Draw a diagram to show the incident and refracted wavefront. (ii) A beam of light coming from a distant source is refracted by a spherical glass ball (refractive index 1.5) of radius 15 cm. Draw the ray diagram and obtain the position of the final image formed.- Q.32 (a)5 marks(i) Two point charges 5 C and C are placed at points and respectively. An external electric field where Vm is switched on in the region. Calculate the change in electrostatic energy of the system due to the electric field. (ii) A system of two conductors is placed in air and they have net charge of C and C which causes a potential difference of 16 V between them. (1) Find the capacitance of the system. (2) If the air between the capacitor is replaced by a dielectric medium of dielectric constant 3, what will be the potential difference between the two conductors ? (3) If the charges on two conductors are changed to C and C, will the capacitance of the system change ? Give reason for your answer.
OR
Q.32 (b)5 marks(i) Consider three metal spherical shells A, B and C, each of radius R. Each shell is having a concentric metal ball of radius R/10. The spherical shells A, B and C are given charges , , and respectively. Their inner metal balls are also given charges , and respectively. Compare the magnitude of the electric fields due to shells A, B and C at a distance 3R from their centres. (ii) A charge C is placed at the centre B of a semicircle of radius 5 cm, as shown in the figure. An equal and opposite charge is placed at point D at a distance of 10 cm from B. A charge C is moved from point 'C' to point 'A' along the circumference. Calculate the work done on the charge.- Q.33 (a)5 marks(i) A proton moving with velocity in a non-uniform magnetic field traces a path as shown in the figure. The path followed by the proton is always in the plane of the paper. What is the direction of the magnetic field in the region near points P, Q and R ? What can you say about relative magnitude of magnetic fields at these points ? (ii) A current carrying circular loop of area A produces a magnetic field B at its centre. Show that the magnetic moment of the loop is .
OR
Q.33 (b)5 marks(i) Derive an expression for the torque acting on a rectangular current loop suspended in a uniform magnetic field. (ii) A charged particle is moving in a circular path with velocity in a uniform magnetic field . It is made to pass through a sheet of lead and as a consequence, it looses one half of its kinetic energy without change in its direction. How will (1) the radius of its path (2) its time period of revolution change ?
Section A
1 mark each
- Q.11 markA charge Q is fixed in position. Another charge q is brought near charge Q and released from rest. Which of the following graphs is the correct representation of the acceleration of the charge q as a function of its distance r from charge Q ?
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- Q.21 markTwo conductors A and B of the same material have their lengths in the ratio 1:2 and radii in the ratio 2:3. If they are connected in parallel across a battery, the ratio of the drift velocities of electrons in them will be -
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- Q.31 markA 1 cm segment of a wire lying along x-axis carries current of 0.5 A along +x direction. A magnetic field is switched on, in the region. The force acting on the segment is
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- Q.41 markThe ratio of the number of turns of the primary to the secondary coils in an ideal transformer is 20 : 1. If 240 V ac is applied from a source to the primary coil of transformer and a 6.0 resistor is connected across the output terminals, then current drawn by the transformer from the source will be -
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- Q.51 markYou are required to design an air-filled solenoid of inductance 0.016 H having a length 0.81 m and radius 0.02 m. The number of turns in the solenoid should be
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- Q.61 markA voltage applied to a circuit drives a current in the circuit. The average power consumed in the circuit over a cycle is
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- Q.71 markX-rays are more harmful to human beings than ultraviolet radiations because X-rays -
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- Q.81 markA point source is placed at the bottom of a tank containing a transparent liquid (refractive index ) to a depth H. The area of the surface of the liquid through which light from the source can emerge out is
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- Q.91 markIn a photoelectric experiment with a material of work function 2.1 eV, the stopping potential is found to be 2.5 V. The maximum kinetic energy of ejected photoelectrons is
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- Q.101 markWhen a p-n junction diode is forward biased
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- Q.111 markLet , and be the wavelengths associated with an electron, a proton and a deuteron, all moving with the same speed. Then the correct relation between them is
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- Q.121 markWhich of the following figures correctly represent the shape of curve of binding energy per nucleon as a function of mass number ?
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- Note : Question numbers 13 to 16 are Assertion (A) and Reason (R) type questions. Two statements are given – one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the codes (A), (B), (C) and (D) as given below :Q.131 markAssertion (A) : We cannot form a p-n junction diode by taking a slab of a p-type semiconductor and physically joining it to another slab of a n-type semiconductor. Reason (R) : In a p-type semiconductor while in a n-type semiconductor .
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- Q.141 markAssertion (A) : The potential energy of an electron revolving in any stationary orbit in a hydrogen atom is positive. Reason (R) : The total energy of a charged particle is always positive.
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- Q.151 markAssertion (A) : It is difficult to move a magnet into a coil of large number of turns when the circuit of the coil is closed. Reason (R) : The direction of induced current in a coil with its circuit closed, due to motion of a magnet, is such that it opposes the cause.
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- Q.161 markAssertion (A) : The deflection in a galvanometer is directly proportional to the current passing through it. Reason (R) : The coil of a galvanometer is suspended in a uniform radial magnetic field.
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Section B
2 marks each
- Q.172 marksn identical cells, each of e.m.f. E and internal resistance r, are connected in series. Later on it was found out that two cells 'X' and 'Y' are connected in reverse polarities. Calculate the potential difference across the cell 'X'.
- Q.18 (a)2 marksIn a diffraction experiment, the slit is illuminated by light of wavelength 600 nm. The first minimum of the pattern falls at . Calculate the width of the slit.
OR
Q.18 (b)2 marksIn a Young's double-slit experiment, two light waves, each of intensity , interfere at a point, having a path difference on the screen. Find the intensity at this point.- Q.192 marksA double convex lens of glass has both faces of the same radius of curvature 17 cm. Find its focal length if it is immersed in water. The refractive indices of glass and water are 1.5 and 1.33 respectively.
- Q.202 marksAn electron in Bohr model of hydrogen atom makes a transition from energy level eV to eV. Calculate the change in the radius of its orbit. The radius of orbit of electron in its ground state is 0.53 Å.
- Q.212 marksA p-type Si semiconductor is made by doping an average of one dopant atom per silicon atoms. If the number density of silicon atoms in the specimen is atoms , find the number of holes created per cubic centimetre in the specimen due to doping. Also give one example of such dopants.
Section C
3 marks each
- Q.22 (a)3 marksTwo batteries of emf's 3V & 6V and internal resistances 0.2 & 0.4 are connected in parallel. This combination is connected to a 4 resistor. Find : (i) the equivalent emf of the combination (ii) the equivalent internal resistance of the combination (iii) the current drawn from the combination
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Q.22 (b)3 marks(i) A conductor of length is connected across an ideal cell of emf E. Keeping the cell connected, the length of the conductor is increased to by gradually stretching it. If R and are initial and final values of resistance and and are initial and final values of drift velocity, find the relation between (i) and R and (ii) and . (ii) When electrons drift in a conductor from lower to higher potential, does it mean that all the 'free electrons' of the conductor are moving in the same direction ?- Q.233 marksA particle of charge q is moving with a velocity at a distance 'd' from a long straight wire carrying a current 'I' as shown in figure. At this instant, it is subjected to a uniform electric field such that the particle keeps moving undeviated. In terms of unit vectors , and , find - (a) the magnetic field , (b) the magnetic force , and (c) the electric field , acting on the charge.
- Q.243 marksAn ac source of voltage is connected to a series combination of LCR circuit. Draw the phasor diagram. Using it obtain an expression for the impedance of the circuit and the phase difference between applied voltage and the current.
- Q.253 marks(a) A parallel plate capacitor is charged by an ac source. Show that the sum of conduction current and the displacement current has the same value at all points of the circuit. (b) In case (a) above, is Kirchhoff's first rule (junction rule) valid at each plate of the capacitor ? Explain.
- Q.263 marks(a) Mention any three features of results of experiment on photoelectric effect which cannot be explained using the wave theory of light. (b) In his experiment on photoelectric effect, Robert A. Millikan found the slope of the cut-off voltage versus frequency of incident light plot to be Vs. Calculate the value of Planck's constant from it.
- Q.273 marks(a) Draw circuit arrangement for studying V-I characteristics of a p-n junction diode. (b) Show the shape of the characteristics of a diode. (c) Mention two information that you can get from these characteristics.
- Q.283 marks(a) Define 'Mass defect' and 'Binding energy' of a nucleus. Describe 'Fission process' on the basis of binding energy per nucleon. (b) A deuteron contains a proton and a neutron and has a mass of 2.013553 u. Calculate the mass defect for it in u and its energy equivalence in MeV.
Section D
1 mark each
- A thin lens is a transparent optical medium bounded by two surfaces, at least one of which should be spherical. Applying the formula for image formation by a single spherical surface successively at the two surfaces of a lens, one can obtain the 'lens maker formula' and then the 'lens formula'. A lens has two foci – called 'first focal point' and 'second focal point' of the lens, one on each side.Q.29 (i)1 markConsider the arrangement shown in figure. A black vertical arrow and a horizontal thick line with a ball are painted on a glass plate. It serves as the object. When the plate is illuminated, its real image is formed on the screen. Which of the following correctly represents the image formed on the screen ?
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- Q.29 (ii)1 markWhich of the following statements is incorrect ?
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- Q.29 (iii) (a)1 markA convex lens of focal length 'f' is cut into two equal parts perpendicular to the principal axis. The focal length of each part will be :
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OR
Q.29 (iii) (b)1 markIf an object in case (i) above is 20 cm from the lens and the screen is 50 cm away from the object, the focal length of the lens used isTap an option to check your answer.
- Q.29 (iv)1 markThe distance of an object from first focal point of a biconvex lens is and distance of the image from second focal point is . The focal length of the lens is
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- A circuit consisting of a capacitor C, a resistor of resistance R and an ideal battery of emf V, as shown in figure is known as RC series circuit. As soon as the circuit is completed by closing key (keeping open) charges begin to flow between the capacitor plates and the battery terminals. The charge on the capacitor increases and consequently the potential difference (= q/C) across the capacitor also increases with time. When this potential difference equals the potential difference across the battery, the capacitor is fully charged (Q = VC). During this process of charging, the charge q on the capacitor changes with time t as The charging current can be obtained by differentiating it and using . Consider the case when R = 20 k, C = 500 F and V = 10 V.Q.30 (i)1 markThe final charge on the capacitor, when key is closed and is open, is
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- Q.30 (ii)1 markFor sufficient time the key is closed and is open. Now key is closed and is open. What is the final charge on the capacitor ?
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- Q.30 (iii)1 markThe dimensional formula for RC is
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- Q.30 (iv) (a)1 markThe key is closed and is open. The value of current in the resistor after 5 seconds, is
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OR
Q.30 (iv) (b)1 markThe key is closed and is open. The initial value of charging current in the resistor, isTap an option to check your answer.
Section E
5 marks each
- Q.31 (a)5 marks(i) (1) What are coherent sources ? Why are they necessary for observing a sustained interference pattern ? (2) Lights from two independent sources are not coherent. Explain. (ii) Two slits 0.1 mm apart are arranged 1.20 m from a screen. Light of wavelength 600 nm from a distant source is incident on the slits. (1) How far apart will adjacent bright interference fringes be on the screen ? (2) Find the angular width (in degree) of the first bright fringe.
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Q.31 (b)5 marks(i) Define a wavefront. An incident plane wave falls on a convex lens and gets refracted through it. Draw a diagram to show the incident and refracted wavefront. (ii) A beam of light coming from a distant source is refracted by a spherical glass ball (refractive index 1.5) of radius 15 cm. Draw the ray diagram and obtain the position of the final image formed.- Q.32 (a)5 marks(i) Two point charges 5 C and C are placed at points and respectively. An external electric field where Vm is switched on in the region. Calculate the change in electrostatic energy of the system due to the electric field. (ii) A system of two conductors is placed in air and they have net charge of C and C which causes a potential difference of 16 V between them. (1) Find the capacitance of the system. (2) If the air between the capacitor is replaced by a dielectric medium of dielectric constant 3, what will be the potential difference between the two conductors ? (3) If the charges on two conductors are changed to C and C, will the capacitance of the system change ? Give reason for your answer.
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Q.32 (b)5 marks(i) Consider three metal spherical shells A, B and C, each of radius R. Each shell is having a concentric metal ball of radius R/10. The spherical shells A, B and C are given charges , , and respectively. Their inner metal balls are also given charges , and respectively. Compare the magnitude of the electric fields due to shells A, B and C at a distance 3R from their centres. (ii) A charge C is placed at the centre B of a semicircle of radius 5 cm, as shown in the figure. An equal and opposite charge is placed at point D at a distance of 10 cm from B. A charge C is moved from point 'C' to point 'A' along the circumference. Calculate the work done on the charge.- Q.33 (a)5 marks(i) A proton moving with velocity in a non-uniform magnetic field traces a path as shown in the figure. The path followed by the proton is always in the plane of the paper. What is the direction of the magnetic field in the region near points P, Q and R ? What can you say about relative magnitude of magnetic fields at these points ? (ii) A current carrying circular loop of area A produces a magnetic field B at its centre. Show that the magnetic moment of the loop is .
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Q.33 (b)5 marks(i) Derive an expression for the torque acting on a rectangular current loop suspended in a uniform magnetic field. (ii) A charged particle is moving in a circular path with velocity in a uniform magnetic field . It is made to pass through a sheet of lead and as a consequence, it looses one half of its kinetic energy without change in its direction. How will (1) the radius of its path (2) its time period of revolution change ?