CBSE Class 12 Physics 2023 question paper (55/5)
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 markAn electric dipole of length 2 cm is placed at an angle of with an electric field N/C. If the dipole experiences a torque of Nm, the magnitude of either charge of the dipole, is
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- Q.21 markTwo long parallel wires kept 2 m apart carry 3A current each, in the same direction. The force per unit length on one wire due to the other is
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- Q.31 markWhich of the following has its permeability less than that of free space ?
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- Q.41 markA square shaped coil of side 10 cm, having 100 turns is placed perpendicular to a magnetic field which is increasing at 1 T/s. The induced emf in the coil is
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- Q.51 markWhich one of the following electromagnetic radiation has the least wavelength ?
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- Q.61 markIn a Young's double-slit experiment, the screen is moved away from the plane of the slits. What will be its effect on the following ? (i) Angular separation of the fringes. (ii) Fringe-width.
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- Q.71 markThe energy of a photon of wavelength is
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- Q.81 markThe ratio of the nuclear densities of two nuclei having mass numbers 64 and 125 is
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- Q.91 markDuring the formation of a p-n junction :
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- Q.101 markThe diagram shows four energy level of an electron in Bohr model of hydrogen atom. Identify the transition in which the emitted photon will have the highest energy.
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- Q.111 markWhich of the following graphs correctly represents the variation of a particle momentum with its associated de-Broglie wavelength ?
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- Q.121 markThe capacitors, each of 4 are to be connected in such a way that the effective capacitance of the combination is 6 . This can be achieved by connecting
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- Q.131 markWhich of the following statements about a series LCR circuit connected to an ac source is correct ?
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- Q.141 markAccording to Huygens principle, the amplitude of secondary wavelets is
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- Q.151 markThe radius of the n orbit in Bohr model of hydrogen atom is proportional to
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- In question number 16 to 18 two statements are given – one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer to these questions from the codes (a), (b), (c) and (d) as given below : (A) Both Assertion (A) and Reason (R) are true and (R) is the correct explanation of (A). (B) Both Assertion (A) and Reason (R) are true and (R) is NOT the correct explanation of (A). (C) Assertion (A) is true and Reason (R) is false. (D) Assertion (A) is false and Reason (R) is also false.Q.161 markAssertion (A) : The resistance of an intrinsic semiconductor decreases with increase in its temperature. Reason (R) : The number of conduction electrons as well as hole increase in an intrinsic semiconductor with rise in its temperature.
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- Q.171 markAssertion (A) : The equivalent resistance between points A and B in the given network is 2R. Reason (R) : All the resistors are connected in parallel
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- Q.181 markAssertion (A) : The deflecting torque acting on a current carrying loop is zero when its plane is perpendicular to the direction of magnetic field. Reason (R) : The deflecting torque acting on a loop of magnetic moment in a magnetic field is given by the dot product of and .
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Section B
2 marks each
- Q.192 marksDraw a graph showing the variation of potential energy of a pair of nucleons as a function of their separation. Indicate the region in which the nuclear force is (a) attractive and (b) repulsive.
- Q.20 (a)2 marksHow will the De Broglie wavelength associated with an electron be affected when the (i) velocity of the electron decreases ? and (ii) accelerating potential is increased ? Justify your answer.
OR
Q.20 (b)2 marksHow would the stopping potential for a given photosensitive surface change if (i) the frequency of the incident radiation were increased ? and (ii) the intensity of incident radiation were decreased ? Justify your answer.- Q.212 marksIdentify the electromagnetic wave whose wavelengths range is from about (a) m to about m. (b) m to about m. Write one use of each.
- Q.222 marksDepict the orientation of an electric dipole in (a) stable and (b) unstable equilibrium in an external uniform electric field. Write the potential energy of the dipole in each case.
- Q.23 (a)2 marksWrite the expression for the Lorentz force on a particle of charge q moving with a velocity in a magnetic field . When is the magnitude of this force maximum ? Show that no work is done by this force on the particle during its motion from a point to point .
OR
Q.23 (b)2 marksA long straight wire AB carries a current I. A particle (mass m and charge q) moves with a velocity , parallel to the wire, at a distance d from it as shown in the figure. Obtain the expression for the force experienced by the particle and mention its directions.- Q.242 marksThe potential difference applied across a given conductor is doubled. How will this affect (i) the mobility of electrons and (ii) the current density in the conductor ? Justify your answers.
- Q.252 marksTwo coils and are placed close to each other. The magnetic flux linked with the coil varies with the current flowing in coil , as shown in the figure. Find (i) the mutual inductance of the arrangement, and (ii) the rate of change of current that will induce an emf of 100 V in coil .
Section C
3 marks each
- Q.26 (a)3 marksA plane wave-front propagating in a medium of refractive index '' is incident on a plane surface making an angle of incidence (i). It enters into a medium of refractive index . Use Huygen's construction of secondary wavelets to trace the retracted wave-front. Hence verify Snell's law of refraction.
OR
Q.26 (b)3 marksUsing Huygen's construction, show how a plane wave is reflected from a surface. Hence verify the law of reflection.- Q.273 marksAn alternating voltage of 220 V is applied across a device X. A current of 0.22 A flows in the circuit and it lags behind the applied voltage in phase by radian. When the same voltage is applied across another device Y, the current in the circuit remains the same and it is in phase with the applied voltage. (i) Name the devices X and Y and, (ii) Calculate the current flowing in the circuit when the same voltage is applied across the series combination of X and Y.
- Q.283 marksState the basic principle behind the working of an ac generator. Briefly describe its working and obtain the expression for the instantaneous value of emf induced.
- Q.293 marks(a) Briefly describe how the current sensitivity of a moving coil galvanometer can be increased. (b) A galvanometer shows full scale deflection for current . A resistance is required to convert it into a voltmeter of range and a resistance to convert it into a voltmeter of range . Find the resistance of the galvanometer.
- Q.30 (a)3 marks(i) Differentiate between 'distance of closest approach' and 'impact parameter'. (ii) Determine the distance of closest approach when an alpha particle of kinetic energy 3.95 MeV approaches a nucleus of Z = 79, stops and reverses its directions.
OR
Q.30 (b)3 marks(i) State three postulates of Bohr's theory of hydrogen atom. (ii) Find the angular momentum of an electron revolving in the second orbit in Bohr's hydrogen atom.
Section D
5 marks each
- Q.31 (a)5 marks(i) Explain how free electrons in a metal at constant temperature attain an average velocity under the action of an electric field. Hence obtain an expression for it. (ii) Consider two conducting wires A and B of the same diameter but made of different materials joined in series across a battery. The number density of electrons in A is 1.5 times that in B. Find the ratio of drift velocity of electrons in wire A to that in wire B.
OR
Q.31 (b)5 marks(i) A cell emf of (E) and internal resistance (r) is connected across a variable load resistance (R). Draw plots showing the variation of terminal voltage V with (i) R and (ii) the current (I) in the load. (ii) Three cells, each of emf E but internal resistances 2r, 3r and 6r are connected in parallel across a resistor R. Obtain expressions for (i) current flowing in the circuit, and (ii) the terminal potential difference across the equivalent cell.- Q.32 (a)5 marksDraw the circuit arrangement for studying V-I characteristics of a p-n junction diode in (i) forward biasing and (ii) reverse biasing. Draw the typical V-I characteristics of a silicon diode. Describe briefly the following terms : (i) minority carrier injection in forward biasing and (ii) breakdown voltage in reverse biasing.
OR
Q.32 (b)5 marksName two important processes involved in the formation of a p-n junction diode. With the help of a circuit diagram, explain the working of junction diode as a full wave rectifier. Draw its input and output waveforms. State the characteristic property of a junction diode that makes it suitable for rectification.- Q.33 (a)5 marks(i) Draw a ray diagram to show the working of a compound microscope. Obtain the expression for the total magnification for the final image to be formed at the near point. (ii) In a compound microscope an object is placed at a distance of 1.5 cm from the objective of focal length 1.25 cm. If the eye-piece has a focal length of 5 cm and the final image is formed at the near point, find the magnifying power of the microscope.
OR
Q.33 (b)5 marks(i) Draw a ray diagram for the formation of image of an object by an astronomical telescope, in normal adjustment. Obtain the expression for its magnifying power. (ii) The magnifying power of an astronomical telescope in normal adjustment is 2.9 and the objective and the eyepiece are separated by a distance of 150 cm. Find the focal lengths of the two lenses.
Section E
- A lens is a transparent optical medium bounded by two surfaces; at least one of which should be spherical. Considering image formation by a single spherical surface successively at the two surfaces of a lens, lens maker's formula is obtained. It is useful to design lenses of desired focal length using surfaces of suitable radii of curvature. This formula helps us obtain a relation between u, v and f for a lens. Lenses form images of objects and they are used in a number of optical devices, for example microscopes and telescopes.Q.34 (i)1 markAn object AB is kept in front of a composite convex lens, as shown in figure. Will the lens produce one image ? If not, explain.
- Q.34 (ii)1 markA real image of an object formed by a convex lens is observed on a screen. If the screen is removed, will the image still be formed ? Explain.
- Q.34 (iii) (a)2 marksA double convex lens is made of glass of refractive index 1.55 with both faces of the same radius of curvature. Find the radius of curvature required if focal length is 20 cm.
OR
Q.34 (iii) (b)2 marksTwo convex lenses A and B of focal lengths 15 cm and 10 cm respectively are placed coaxially 'd' distance apart. A point object is kept at a distance of 30 cm in front of lens A. Find the value of 'd' so that the rays emerging from lens B are parallel to its principal axis.- A capacitor is a system of two conductors separated by an insulator. The two conductors have equal and opposite charges with a potential difference between them. The capacitance of a capacitor depends on the geometrical configuration (shape, size and separation) of the system and also on the nature of the insulator separating the two conductors. They are used to store charges. Like resistors, capacitors can be arranged in series or parallel or a combination of both to obtain desired value of capacitance.Q.35 (i)1 markFind the equivalent capacitance between points A and B in the given diagram.
- Q.35 (ii)1 markA dielectric slab is inserted between the plates of a parallel plate capacitor. The electric field between the plates decreases. Explain.
- Q.35 (iii) (a)2 marksA capacitor A of capacitance C, having charge Q is connected across another uncharged capacitor B of capacitance 2C. Find an expression for (a) the potential difference across the combination and (b) the charge lost by capacitor A.
OR
Q.35 (iii) (b)2 marksTwo slabs of dielectric constants 2K and K fill the space between the plates of a parallel plate capacitor of plate area A and plate separation d as shown in figure. Find an expression for capacitance of the system.
Section A
1 mark each
- Q.11 markA charge Q is placed at the centre of a cube. The electric flux through one if its face is
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- Q.21 markTwo long parallel wires kept 2 m apart carry 3A current each, in the same direction. The force per unit length on one wire due to the other is
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- Q.31 markWhich of the following has its permeability less than that of free space ?
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- Q.41 markA square shaped coil of side 10 cm, having 100 turns is placed perpendicular to a magnetic field which is increasing at 1 T/s. The induced emf in the coil is
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- Q.51 markChoose the correct option related to wavelengths () of different parts of electromagnetic spectrum.
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- Q.61 markIn a Young's double-slit experiment, the screen is moved away from the plane of the slits. What will be its effect on the following ? (i) Angular separation of the fringes. (ii) Fringe-width.
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- Q.71 markThe energy of a photon of wavelength is
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- Q.81 markThe ratio of the nuclear densities of two nuclei having mass numbers 64 and 125 is
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- Q.91 markDuring the formation of a p-n junction :
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- Q.101 markThe diagram shows four energy level of an electron in Bohr model of hydrogen atom. Identify the transition in which the emitted photon will have the highest energy.
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- Q.111 markFigure shows a plot of stopping potential () versus , where is the wavelength of the radiation causing photoelectric emission from a surface. The slope of the line is equal to
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- Q.121 markThe capacitors, each of 4 are to be connected in such a way that the effective capacitance of the combination is 6 . This can be achieved by connecting
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- Q.131 markAn ideal inductor is connected across an AC source of voltage. The current in the circuit
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- Q.141 markAccording to Huygens principle, the amplitude of secondary wavelets is
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- Q.151 markThe radius of the n orbit in Bohr model of hydrogen atom is proportional to
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- In question number 16 to 18 two statements are given – one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer to these questions from the codes (a), (b), (c) and (d) as given below : (A) Both Assertion (A) and Reason (R) are true and (R) is the correct explanation of (A). (B) Both Assertion (A) and Reason (R) are true and (R) is NOT the correct explanation of (A). (C) Assertion (A) is true and Reason (R) is false. (D) Assertion (A) is false and Reason (R) is also false.Q.161 markAssertion (A) : In insulators, the forbidden gap is very large. Reason (R) : The valence electrons in an atom of an insulator are very tightly bound to the nucleus.
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- Q.171 markAssertion (A) : The equivalent resistance between points A and B in the given network is 2R. Reason (R) : All the resistors are connected in parallel
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- Q.181 markAssertion (A) : The deflecting torque acting on a current carrying loop is zero when its plane is perpendicular to the direction of magnetic field. Reason (R) : The deflecting torque acting on a loop of magnetic moment in a magnetic field is given by the dot product of and .
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Section B
2 marks each
- Q.192 marksDraw a graph showing the variation of potential energy of a pair of nucleons as a function of their separation. Indicate the region in which the nuclear force is (a) attractive and (b) repulsive.
- Q.20 (a)2 marksHow will the De Broglie wavelength associated with an electron be affected when the (i) velocity of the electron decreases ? and (ii) accelerating potential is increased ? Justify your answer.
OR
Q.20 (b)2 marksHow would the stopping potential for a given photosensitive surface change if (i) the frequency of the incident radiation were increased ? and (ii) the intensity of incident radiation were decreased ? Justify your answer.- Q.212 marksIdentify the electromagnetic radiation and write its wavelength range, which is used to kill germs in water purifier. Name the two sources of these radiations.
- Q.222 marksAn electric dipole of dipole moment ()is kept in a uniform electric field . Show graphically the variation of torque acting on the dipole () with its orientation () in the field. Find the orientation in which torque is (i) zero and (ii) maximum.
- Q.23 (a)2 marksWrite the expression for the Lorentz force on a particle of charge q moving with a velocity in a magnetic field . When is the magnitude of this force maximum ? Show that no work is done by this force on the particle during its motion from a point to point .
OR
Q.23 (b)2 marksA long straight wire AB carries a current I. A particle (mass m and charge q) moves with a velocity , parallel to the wire, at a distance d from it as shown in the figure. Obtain the expression for the force experienced by the particle and mention its directions.- Q.242 marksA potential difference (V) is applied across a conductor of length 'L' and cross-sectional area 'A'. How will the drift velocity of electrons and the current density be affected if another identical conductor of the same material were connected in series with the first conductor ? Justify your answers.
- Q.252 marksTwo coils and are placed close to each other. The magnetic flux linked with the coil varies with the current flowing in coil , as shown in the figure. Find (i) the mutual inductance of the arrangement, and (ii) the rate of change of current that will induce an emf of 100 V in coil .
Section C
3 marks each
- Q.26 (a)3 marksA plane wave-front propagating in a medium of refractive index '' is incident on a plane surface making an angle of incidence (i). It enters into a medium of refractive index . Use Huygen's construction of secondary wavelets to trace the retracted wave-front. Hence verify Snell's law of refraction.
OR
Q.26 (b)3 marksUsing Huygen's construction, show how a plane wave is reflected from a surface. Hence verify the law of reflection.- Q.273 marksA current of 1A flows through a coil when it is connected across a DC battery of 100 V. If DC battery is replaced by an AC source of 100 V and angular frequency 100 rad s, the current reduces to 0.5 A. Find (i) impedance of the circuit. (ii) self-inductance of coil. (iii) phase difference between the voltage and the current.
- Q.283 marksThe primary coil having turns of an ideal transformer is supplied with an alternating voltage . Obtain an expression for the voltage induced in its secondary coil having turns. Mention two main sources of power loss in real transformers.
- Q.293 marks(a) Briefly describe how the current sensitivity of a moving coil galvanometer can be increased. (b) A galvanometer shows full scale deflection for current . A resistance is required to convert it into a voltmeter of range and a resistance to convert it into a voltmeter of range . Find the resistance of the galvanometer.
- Q.30 (a)3 marks(i) Write the limitations of Rutherford's model of atom. (ii) The wavelength of the second line of the Balmer series in the hydrogen spectrum is 4861 Å. Calculate the wavelength of the first line of the same series.
OR
Q.30 (b)3 marks(i) Increase in the intensity of the radiation causing photo-electric emission from a surface, does not affect the maximum K.E. of the photo electrons. Explain. (ii) The photon emitted during the de-excitation from the first excited level to the ground state of hydrogen atom is used to irradiate a photo cathode in which stopping potential is 5 V. Calculate the work function of the cathode used.
Section D
5 marks each
- Q.31 (a)5 marksDraw the circuit arrangement for studying V-I characteristics of a p-n junction diode in (i) forward biasing and (ii) reverse biasing. Draw the typical V-I characteristics of a silicon diode. Describe briefly the following terms : (i) minority carrier injection in forward biasing and (ii) breakdown voltage in reverse biasing.
OR
Q.31 (b)5 marksName two important processes involved in the formation of a p-n junction diode. With the help of a circuit diagram, explain the working of junction diode as a full wave rectifier. Draw its input and output waveforms. State the characteristic property of a junction diode that makes it suitable for rectification.- Q.32 (a)5 marks(i) Draw a ray diagram to show the working of a compound microscope. Obtain the expression for the total magnification for the final image to be formed at the near point. (ii) In a compound microscope an object is placed at a distance of 1.5 cm from the objective of focal length 1.25 cm. If the eye-piece has a focal length of 5 cm and the final image is formed at the near point, find the magnifying power of the microscope.
OR
Q.32 (b)5 marks(i) Draw a ray diagram for the formation of image of an object by an astronomical telescope, in normal adjustment. Obtain the expression for its magnifying power. (ii) The magnifying power of an astronomical telescope in normal adjustment is 2.9 and the objective and the eyepiece are separated by a distance of 150 cm. Find the focal lengths of the two lenses.- Q.33 (a)5 marks(i) Explain how free electrons in a metal at constant temperature attain an average velocity under the action of an electric field. Hence obtain an expression for it. (ii) Consider two conducting wires A and B of the same diameter but made of different materials joined in series across a battery. The number density of electrons in A is 1.5 times that in B. Find the ratio of drift velocity of electrons in wire A to that in wire B.
OR
Q.33 (b)5 marks(i) A cell emf of (E) and internal resistance (r) is connected across a variable load resistance (R). Draw plots showing the variation of terminal voltage V with (i) R and (ii) the current (I) in the load. (ii) Three cells, each of emf E but internal resistances 2r, 3r and 6r are connected in parallel across a resistor R. Obtain expressions for (i) current flowing in the circuit, and (ii) the terminal potential difference across the equivalent cell.
Section E
- A capacitor is a system of two conductors separated by an insulator. The two conductors have equal and opposite charges with a potential difference between them. The capacitance of a capacitor depends on the geometrical configuration (shape, size and separation) of the system and also on the nature of the insulator separating the two conductors. They are used to store charges. Like resistors, capacitors can be arranged in series or parallel or a combination of both to obtain desired value of capacitance.Q.34 (i)1 markFind the equivalent capacitance between points A and B in the given diagram.
- Q.34 (ii)1 markA dielectric slab is inserted between the plates of a parallel plate capacitor. The electric field between the plates decreases. Explain.
- Q.34 (iii) (a)2 marksA capacitor A of capacitance C, having charge Q is connected across another uncharged capacitor B of capacitance 2C. Find an expression for (a) the potential difference across the combination and (b) the charge lost by capacitor A.
OR
Q.34 (iii) (b)2 marksTwo slabs of dielectric constants 2K and K fill the space between the plates of a parallel plate capacitor of plate area A and plate separation d as shown in figure. Find an expression for capacitance of the system.- A lens is a transparent optical medium bounded by two surfaces; at least one of which should be spherical. Considering image formation by a single spherical surface successively at the two surfaces of a lens, lens maker's formula is obtained. It is useful to design lenses of desired focal length using surfaces of suitable radii of curvature. This formula helps us obtain a relation between u, v and f for a lens. Lenses form images of objects and they are used in a number of optical devices, for example microscopes and telescopes.Q.35 (i)1 markAn object AB is kept in front of a composite convex lens, as shown in figure. Will the lens produce one image ? If not, explain.
- Q.35 (ii)1 markA real image of an object formed by a convex lens is observed on a screen. If the screen is removed, will the image still be formed ? Explain.
- Q.35 (iii) (a)2 marksA double convex lens is made of glass of refractive index 1.55 with both faces of the same radius of curvature. Find the radius of curvature required if focal length is 20 cm.
OR
Q.35 (iii) (b)2 marksTwo convex lenses A and B of focal lengths 15 cm and 10 cm respectively are placed coaxially 'd' distance apart. A point object is kept at a distance of 30 cm in front of lens A. Find the value of 'd' so that the rays emerging from lens B are parallel to its principal axis.
Section A
1 mark each
- Q.11 markAn electric dipole of length 2 cm is placed at an angle of with an electric field N/C. If the dipole experiences a torque of Nm, the magnitude of either charge of the dipole, is
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- Q.21 markTwo horizontal thin long parallel wires, separated by a distance r carry current I each in the opposite directions. The net magnetic field at a point midway between them, will be
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- Q.31 markWhich of the following cannot modify an external magnetic field as shown in the figure ?
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- Q.41 markA square shaped coil of side 10 cm, having 100 turns is placed perpendicular to a magnetic field which is increasing at 1 T/s. The induced emf in the coil is
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- Q.51 markWhich one of the following electromagnetic radiation has the least wavelength ?
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- Q.61 markIn a Young's double-slit experiment, the screen is moved away from the plane of the slits. What will be its effect on the following ? (i) Angular separation of the fringes. (ii) Fringe-width.
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- Q.71 markE, c and represent the energy, velocity and frequency of a photon. Which of the following represents its wavelength ?
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- Q.81 markThe ratio of the nuclear densities of two nuclei having mass numbers 64 and 125 is
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- Q.91 markThe energy required by an electron to jump the forbidden band in silicon at room temperature is about
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- Q.101 markThe diagram shows four energy level of an electron in Bohr model of hydrogen atom. Identify the transition in which the emitted photon will have the highest energy.
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- Q.111 markWhich of the following graphs correctly represents the variation of a particle momentum with its associated de-Broglie wavelength ?
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- Q.121 markThe capacitors, each of 4 are to be connected in such a way that the effective capacitance of the combination is 6 . This can be achieved by connecting
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- Q.131 markWhat is the ratio of inductive and capacitive reactance in an ac circuit ?
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- Q.141 markIn an interference experiment, third bright fringe is obtained at a point on the screen with a light of 700 nm. What should be the wavelength of the light source in order to obtain the fifth bright fringe at the same point ?
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- Q.151 markThe radius of the n orbit in Bohr model of hydrogen atom is proportional to
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- In question number 16 to 18 two statements are given – one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer to these questions from the codes (a), (b), (c) and (d) as given below : (A) Both Assertion (A) and Reason (R) are true and (R) is the correct explanation of (A). (B) Both Assertion (A) and Reason (R) are true and (R) is NOT the correct explanation of (A). (C) Assertion (A) is true and Reason (R) is false. (D) Assertion (A) is false and Reason (R) is also false.Q.161 markAssertion (A) : The resistance of an intrinsic semiconductor decreases with increase in its temperature. Reason (R) : The number of conduction electrons as well as hole increase in an intrinsic semiconductor with rise in its temperature.
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- Q.171 markAssertion (A) : The given figure does not show a balanced Wheatstone bridge. Reason (R) : For a balanced bridge small current should flow through the galvanometer.
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- Q.181 markAssertion (A) : The deflecting torque acting on a current carrying loop is zero when its plane is perpendicular to the direction of magnetic field. Reason (R) : The deflecting torque acting on a loop of magnetic moment in a magnetic field is given by the dot product of and .
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Section B
2 marks each
- Q.192 marksPlot a graph showing the variation of photo electric current, as a function of anode potential for two light beams having the same frequency but different intensities and . Mention its important features.
- Q.20 (a)2 marksHow will the De Broglie wavelength associated with an electron be affected when the (i) velocity of the electron decreases ? and (ii) accelerating potential is increased ? Justify your answer.
OR
Q.20 (b)2 marksHow would the stopping potential for a given photosensitive surface change if (i) the frequency of the incident radiation were increased ? and (ii) the intensity of incident radiation were decreased ? Justify your answer.- Q.212 marksHow are electromagnetic waves produced ? Write their two characteristics.
- Q.222 marksThree point charges Q, q and are kept at the vertices of an equilateral triangle of side L as shown in figure. What is (i) the electrostatic potential energy of the arrangement ? and (ii) the potential at point D ?
- Q.23 (a)2 marksTwo identical circular loops P and Q, each of radius R carrying current I are kept in perpendicular planes such that they have a common centre O as shown in the figure. Find the magnitude and direction of the net magnetic field at point O.
OR
Q.23 (b)2 marksA long straight conductor kept along X' X axis, carries a steady current I along direction. At an instant t, a particle of mass m and charge q at point moves with a velocity along direction. Find the magnitude and direction of the force on the particle due to the conductor.- Q.242 marksTwo conductors, made of the same material have equal lengths but different cross-sectional areas and . They are connected in parallel across a cell. Show that the drift velocities of electrons in two conductors are equal.
- Q.252 marksTwo coils and are placed close to each other. The magnetic flux linked with the coil varies with the current flowing in coil , as shown in the figure. Find (i) the mutual inductance of the arrangement, and (ii) the rate of change of current that will induce an emf of 100 V in coil .
Section C
3 marks each
- Q.26 (a)3 marksA plane wave-front propagating in a medium of refractive index '' is incident on a plane surface making an angle of incidence (i). It enters into a medium of refractive index . Use Huygen's construction of secondary wavelets to trace the retracted wave-front. Hence verify Snell's law of refraction.
OR
Q.26 (b)3 marksUsing Huygen's construction, show how a plane wave is reflected from a surface. Hence verify the law of reflection.- Q.273 marksAn alternating current A passes through a series combination of a resistor of 30 and an inductor of H. Taking , calculate the (i) rms value of the voltage drops across the resistor and the inductor, and (ii) power factor of the circuit.
- Q.283 marksState the basic principle behind the working of an ac generator. Briefly describe its working and obtain the expression for the instantaneous value of emf induced.
- Q.293 marks(a) Briefly describe how the current sensitivity of a moving coil galvanometer can be increased. (b) A galvanometer shows full scale deflection for current . A resistance is required to convert it into a voltmeter of range and a resistance to convert it into a voltmeter of range . Find the resistance of the galvanometer.
- Q.30 (a)3 marksCalculate the binding energy of an alpha particle in MeV. Given mass of a proton = 1.007825 u mass of a neutron = 1.008665 u mass of He nucleus = 4.002800 u 1u = 931 MeV/c
OR
Q.30 (b)3 marksA heavy nucleus P of mass number 240 and binding energy 7.6 MeV per nucleon splits into two nuclei Q and R of mass number 110 and 130 and binding energy per nucleon 8.5 MeV and 8.4 MeV respectively. Calculate the energy released in the fission.
Section D
5 marks each
- Q.31 (a)5 marksDraw the circuit arrangement for studying V-I characteristics of a p-n junction diode in (i) forward biasing and (ii) reverse biasing. Draw the typical V-I characteristics of a silicon diode. Describe briefly the following terms : (i) minority carrier injection in forward biasing and (ii) breakdown voltage in reverse biasing.
OR
Q.31 (b)5 marksName two important processes involved in the formation of a p-n junction diode. With the help of a circuit diagram, explain the working of junction diode as a full wave rectifier. Draw its input and output waveforms. State the characteristic property of a junction diode that makes it suitable for rectification.- Q.32 (a)5 marks(i) Draw a ray diagram to show the working of a compound microscope. Obtain the expression for the total magnification for the final image to be formed at the near point. (ii) In a compound microscope an object is placed at a distance of 1.5 cm from the objective of focal length 1.25 cm. If the eye-piece has a focal length of 5 cm and the final image is formed at the near point, find the magnifying power of the microscope.
OR
Q.32 (b)5 marks(i) Draw a ray diagram for the formation of image of an object by an astronomical telescope, in normal adjustment. Obtain the expression for its magnifying power. (ii) The magnifying power of an astronomical telescope in normal adjustment is 2.9 and the objective and the eyepiece are separated by a distance of 150 cm. Find the focal lengths of the two lenses.- Q.33 (a)5 marks(i) Explain how free electrons in a metal at constant temperature attain an average velocity under the action of an electric field. Hence obtain an expression for it. (ii) Consider two conducting wires A and B of the same diameter but made of different materials joined in series across a battery. The number density of electrons in A is 1.5 times that in B. Find the ratio of drift velocity of electrons in wire A to that in wire B.
OR
Q.33 (b)5 marks(i) A cell emf of (E) and internal resistance (r) is connected across a variable load resistance (R). Draw plots showing the variation of terminal voltage V with (i) R and (ii) the current (I) in the load. (ii) Three cells, each of emf E but internal resistances 2r, 3r and 6r are connected in parallel across a resistor R. Obtain expressions for (i) current flowing in the circuit, and (ii) the terminal potential difference across the equivalent cell.
Section E
- A lens is a transparent optical medium bounded by two surfaces; at least one of which should be spherical. Considering image formation by a single spherical surface successively at the two surfaces of a lens, lens maker's formula is obtained. It is useful to design lenses of desired focal length using surfaces of suitable radii of curvature. This formula helps us obtain a relation between u, v and f for a lens. Lenses form images of objects and they are used in a number of optical devices, for example microscopes and telescopes.Q.34 (i)1 markAn object AB is kept in front of a composite convex lens, as shown in figure. Will the lens produce one image ? If not, explain.
- Q.34 (ii)1 markA real image of an object formed by a convex lens is observed on a screen. If the screen is removed, will the image still be formed ? Explain.
- Q.34 (iii) (a)2 marksA double convex lens is made of glass of refractive index 1.55 with both faces of the same radius of curvature. Find the radius of curvature required if focal length is 20 cm.
OR
Q.34 (iii) (b)2 marksTwo convex lenses A and B of focal lengths 15 cm and 10 cm respectively are placed coaxially 'd' distance apart. A point object is kept at a distance of 30 cm in front of lens A. Find the value of 'd' so that the rays emerging from lens B are parallel to its principal axis.- A capacitor is a system of two conductors separated by an insulator. The two conductors have equal and opposite charges with a potential difference between them. The capacitance of a capacitor depends on the geometrical configuration (shape, size and separation) of the system and also on the nature of the insulator separating the two conductors. They are used to store charges. Like resistors, capacitors can be arranged in series or parallel or a combination of both to obtain desired value of capacitance.Q.35 (i)1 markFind the equivalent capacitance between points A and B in the given diagram.
- Q.35 (ii)1 markA dielectric slab is inserted between the plates of a parallel plate capacitor. The electric field between the plates decreases. Explain.
- Q.35 (iii) (a)2 marksA capacitor A of capacitance C, having charge Q is connected across another uncharged capacitor B of capacitance 2C. Find an expression for (a) the potential difference across the combination and (b) the charge lost by capacitor A.
OR
Q.35 (iii) (b)2 marksTwo slabs of dielectric constants 2K and K fill the space between the plates of a parallel plate capacitor of plate area A and plate separation d as shown in figure. Find an expression for capacitance of the system.