CBSE Class 12 Physics 2026 question paper (55/4)
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 markTwo wires of same length and same area of cross-section but made of different material of resistivities and are connected in series. The equivalent resistivity of the combination is :
Tap an option to check your answer.
- Q.21 markTwo particles of masses and having charges and respectively are projected with the same velocity in a region of uniform magnetic field pointing vertically upward. If they describe circular paths as shown in the figure, one may conclude that :
Tap an option to check your answer.
- Q.31 markAn electron moves around the nucleus in a circular orbit of radius r and makes n revolutions per second. The value of equivalent current in the orbit is :
Tap an option to check your answer.
- Q.41 markThe dimensions of the rate of change of magnetic flux are :
Tap an option to check your answer.
- Q.51 markTwo identical conductors 1 and 2 are placed on two frictionless conducting rails R and S in a uniform magnetic field directed vertically downward into the plane of the page. If conductor 1 is moved with a constant velocity in the direction as shown in figure, the force on conductor 2 will be along :
Tap an option to check your answer.
- Q.61 markAn ac voltage is given as V. The average and the effective value of the voltage (in V) over a cycle are respectively :
Tap an option to check your answer.
- Q.71 markThe ratio of amplitude of electric field to the amplitude of the magnetic field associated with an electromagnetic wave propagating in glass is :
Tap an option to check your answer.
- Q.81 markWhile studying photoelectric emission from a given surface, the wavelength of the incident radiation is changed from 600 nm to 400 nm, keeping the intensity of radiation the same. Then :
Tap an option to check your answer.
- Q.91 markRadiation of wavelength 331 nm irradiates the following metals :Which of the following statements is correct ?
Metal Work Function (eV) Na K Ca Mo Tap an option to check your answer.
- Q.101 markThe kinetic energy of a charged particle is increased to four times of its initial value. The de Broglie wavelength associated with the particle will :
Tap an option to check your answer.
- Q.111 markPaschen series in spectrum of hydrogen atom lies in :
Tap an option to check your answer.
- Q.121 markIn a reversed-biased p-n junction diode, the applied voltage mostly drops across :
Tap an option to check your answer.
- Questions number 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 work done, in taking a unit charge around a closed loop of an electric circuit involving cells and resistors in the loop, is zero. Reason (R) : The potential at a point depends on the location of the point in the loop. After completing one round, the charge comes back to the point of start.
Tap an option to check your answer.
- Q.141 markAssertion (A) : When a ferromagnetic substance is heated to high temperature it becomes paramagnetic in nature. Reason (R) : The disappearance of magnetisation of a ferromagnet is abrupt and not gradual.
Tap an option to check your answer.
- Q.151 markAssertion (A) : When a convex lens made of glass is immersed in water, its converging power increases. Reason (R) : The focal length of a lens depends only on the radii of curvature of its two faces.
Tap an option to check your answer.
- Q.161 markAssertion (A) : The conductivity of an n-type semiconductor is higher than that of a p-type semiconductor at a given temperature. Reason (R) : The electrons being in the conduction band in n-type semiconductor are more mobile than the holes in the valence band in p-type semiconductor.
Tap an option to check your answer.
Section B
2 marks each
- Q.172 marksAn electric dipole consists of two point charges and , held 10 cm apart. It is subjected to a uniform electric field of 100 N/C. Calculate the amount of work done in turning the dipole from its position of stable equilibrium to the position of unstable equilibrium, in the field.
- Q.18 (a)2 marksState Huygens principle. How did Huygens justify the absence of the backwave on a spherical wavefront ?
OR
Q.18 (b)2 marksIn a single-slit diffraction experiment, light of wavelength illuminates the slit of width 'a'. The diffraction pattern is observed on a screen kept at a distance D from the slits. (i) Depict variation of intensity in the fringe pattern with the angular position of the fringes. (ii) How is the linear width of central maximum affected when separation between the slit and the screen is decreased ?- Q.192 marksA small bulb is placed at the bottom of a tank, containing a transparent liquid of refractive index , to a depth of 1 m. Calculate the area of the surface of the liquid through which light from the bulb emerges.
- Q.202 marksDraw the graph showing the variation of number of scattered alpha particles (N) detected with scattering angle in Geiger-Marsden experiment. Infer two conclusions from the graph.
- Q.212 marksThe hole concentration in an intrinsic semiconductor is . When it is doped with certain impurity, the electron concentration becomes . Find the new value of the hole concentration. Also identify the type of new semiconductor formed after doping.
Section C
3 marks each
- Q.223 marksState Kirchhoff's rules. Using these rules, find the current flowing through branch FC in the given circuit.
- Q.23 (a)3 marksThe figure given below shows three straight long parallel conductors , and kept in x-y plane, carrying currents 2I, I and 3I respectively as shown in figure. Find the magnitude and direction of : (i) net magnetic field at a point on conductor and (ii) net magnetic force acting on unit length of conductor , due to conductors and .
OR
Q.23 (b)3 marksA rectangular loop of sides and b and resistance 'R' is kept in a region in which the magnetic field varies as . (i) Derive expression for the emf induced in the loop. (ii) Find the effective value of current that flows in the loop.- Q.243 marksThe figure given below shows a square-shaped loop MNOP of side 25 cm placed horizontally in a uniform magnetic field directed vertically downward. The position of the loop at s is as shown in figure. The loop is pulled with a constant velocity of 25 cm/s till it goes out of the field. (a) What will be the direction of the induced current in the loop as it goes out of the field ? For how long would the current in the loop persist ? (b) Plot graphs showing the variation of magnetic flux and magnitude of induced emf as a function of time.
- Q.253 marksWhat are infrared waves ? Why are these waves referred to as 'heat waves' ? Give any two uses of these waves.
- Q.263 marks(a) Explain how the dual aspect of matter is evident in the de Broglie relation. (b) Radiation of wavelength is incident on a photosensitive surface. Find the de Broglie wavelength of electrons emitted from the surface. Assume that the work function of the surface is negligible.
- Q.273 marksIn the nuclear reaction : (a) Find the value of A. (b) Calculate the amount of energy released in the reaction. Given : , , ,
- Q.283 marksWith the help of a circuit diagram, explain the working of a full wave rectifier. Depict the input and output waveforms.
Section D
1 mark each
- A student sets up the circuit as shown in the figure to find the value of unknown resistance X and records a set of readings of the voltmeter and the ammeter by using the rheostat.Q.29 (i)1 markIf resistor X were made of manganin and readings for V and I are taken without switching off the circuit, the graph between V and I will be as :
Tap an option to check your answer.
- Q.29 (ii)1 markError in the value of X obtained from different sets of voltmeter and ammeter readings, is :
Tap an option to check your answer.
- Q.29 (iii)1 markIf the movable end of rheostat is moved towards P, then :
Tap an option to check your answer.
- Q.29 (iv) (a)1 markSuppose the unknown resistance X is replaced by a wire made of the same metal. This wire consists of three parts, of the same length L but has radii r, r/3 and r/2 as shown in the figure. For a particular setting of the rheostat, let , and be the value of drift velocities in parts AC, CD and DB. Then :
Tap an option to check your answer.
OR
Q.29 (iv) (b)1 markConsider the same wire, as shown in figure in question (iv) (a) connected in place of X. For a particular setting of rheostat, let , and be the value of electric fields in part AC, CD and DB. Then :Tap an option to check your answer.
- An astronomical telescope consists of two converging lenses. One of them of large aperture and large focal length is called objective lens and the other one, of smaller focal length and smaller aperture is called the eyepiece. It is used to see distant objects which are not seen clearly with naked eyes. The image formed by the objective lens acts as an object for the eyepiece and the final image produced by the eyepiece is magnified.Q.30 (i)1 markThe images formed by the objective lens and the eyepiece are respectively :
Tap an option to check your answer.
- Q.30 (ii)1 markThe magnification produced by the telescope does not depend upon the :
Tap an option to check your answer.
- Q.30 (iii)1 markWhich of the following statements is not correct for this telescope ?
Tap an option to check your answer.
- Q.30 (iv) (a)1 markAn astronomical telescope has objective lens and eyepiece of focal lengths 80 cm and 4 cm respectively. To view the image in normal adjustment, the lenses must be separated by a distance of :
Tap an option to check your answer.
OR
Q.30 (iv) (b)1 markConsider the telescope described in question (iv) (a). Its magnifying power in normal adjustment will be :Tap an option to check your answer.
Section E
5 marks each
- Q.31 (a)5 marks(i) Define refractive index of a medium in terms of speed of light. (ii) Derive the relation for the refractive index of a prism in terms of angle of minimum derivation and angle of prism (A). (iii) A ray of light QP is incident normally on the face BC of a triangular prism ABC of refractive index kept in air, as shown in the figure. Trace the path of the ray as it passes through the prism and give relevant explanation.
OR
Q.31 (b)5 marks(i) What is the difference between a ray and a wavefront ? (ii) A plane wave is incident on a reflecting surface. Using Huygens principle, show how it is reflected from the surface. Hence, verify the law of reflection. (iii) Depict refraction of a plane wave by a convex lens.- Q.32 (a)5 marks(i) Define the terms (I) resonant frequency, and (II) power factor of a series LCR circuit. For what value of the power factor will the power dissipated in the circuit be maximum ? (ii) An inductor of H, a capacitor of and a resistor of 400 are connected in series across an ac voltage V. Calculate : (I) impedance of the circuit, and (II) rms value of current that flows in the circuit. (Take )
OR
Q.32 (b)5 marks(i) Draw a labelled diagram of a step-up transformer. Obtain the ratio of secondary voltage to primary voltage in terms of number of turns in the two coils. (ii) The number of turns in the primary and the secondary coil of an ideal transformer are 100 and 5000 respectively. If kW power is supplied to the transformer at 220 V, find (I) current in the primary coil, and (II) output voltage.- Q.33 (a)5 marks(i) Explain the following statements giving reason : (I) An equipotential surface through a point is normal to the electric field at that point. (II) When a dielectric is placed in an external electric field, the electric field inside the dielectric is less than that outside it. (III) The potential difference between the plates of a charged parallel plate capacitor decreases when its plates are brought closer. (ii) Obtain an expression for the work done to dissociate the system of three charges q, and 2q placed at the vertices A, B and C respectively of an equilateral triangle of side 'a'.
OR
Q.33 (b)5 marks(i) Answer the following giving reason : (I) The electron drift speed is estimated to be only a few mm/s for currents in the range of a few amperes. How, then, is the current established almost the instant a circuit is closed ? (II) A low voltage supply from which one needs high currents must have very low internal resistance. Why ? (III) The assertion that V = IR is a statement of Ohm's law is not true. Why ? (ii) Two cells of emfs 12 V and 6 V are connected in parallel as shown in the figure. Their internal resistances are 1 and respectively. Calculate the emf and internal resistance of the equivalent cell between points A and B.
Section A
1 mark each
- Q.11 markA wire is gradually stretched to make it 100% longer. Its resistance will increase by :
Tap an option to check your answer.
- Q.21 markA closely wound long solenoid of self-inductance L is cut into two identical solenoids. The value of self-inductance of each small solenoid will be :
Tap an option to check your answer.
- Q.31 markWhich of the following characteristics of electrons determines the current in the conductor ?
Tap an option to check your answer.
- Q.41 markTwo particles of masses and having charges and respectively are projected with the same velocity in a region of uniform magnetic field pointing vertically upward. If they describe circular paths as shown in the figure, one may conclude that :
Tap an option to check your answer.
- Q.51 markPaschen series in spectrum of hydrogen atom lies in :
Tap an option to check your answer.
- Q.61 markThe kinetic energy of a charged particle is increased to four times of its initial value. The de Broglie wavelength associated with the particle will :
Tap an option to check your answer.
- Q.71 markIn a reversed-biased p-n junction diode, the applied voltage mostly drops across :
Tap an option to check your answer.
- Q.81 markA coil having 100 closely wound turns and area of cross-section carries a current of 5 mA. The magnitude of the magnetic moment associated with the coil is :
Tap an option to check your answer.
- Q.91 markAn ac voltage is given as V. The average and the effective value of the voltage (in V) over a cycle are respectively :
Tap an option to check your answer.
- Q.101 markThe ratio of amplitude of electric field to the amplitude of the magnetic field associated with an electromagnetic wave propagating in glass is :
Tap an option to check your answer.
- Q.111 markRadiation of wavelength 331 nm irradiates the following metals :Which of the following statements is correct ?
Metal Work Function (eV) Na K Ca Mo Tap an option to check your answer.
- Q.121 markIn an experiment on photoelectric emission, the intensity of incident radiation is halved keeping its frequency constant. As a result :
Tap an option to check your answer.
- Questions number 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 conductivity of an n-type semiconductor is higher than that of a p-type semiconductor at a given temperature. Reason (R) : The electrons being in the conduction band in n-type semiconductor are more mobile than the holes in the valence band in p-type semiconductor.
Tap an option to check your answer.
- Q.141 markAssertion (A) : The work done, in taking a unit charge around a closed loop of an electric circuit involving cells and resistors in the loop, is zero. Reason (R) : The potential at a point depends on the location of the point in the loop. After completing one round, the charge comes back to the point of start.
Tap an option to check your answer.
- Q.151 markAssertion (A) : When a ferromagnetic substance is heated to high temperature it becomes paramagnetic in nature. Reason (R) : The disappearance of magnetisation of a ferromagnet is abrupt and not gradual.
Tap an option to check your answer.
- Q.161 markAssertion (A) : When a convex lens made of glass is immersed in water, its converging power increases. Reason (R) : The focal length of a lens depends only on the radii of curvature of its two faces.
Tap an option to check your answer.
Section B
2 marks each
- Q.17 (a)2 marksState Huygens principle. How did Huygens justify the absence of the backwave on a spherical wavefront ?
OR
Q.17 (b)2 marksIn a single-slit diffraction experiment, light of wavelength illuminates the slit of width 'a'. The diffraction pattern is observed on a screen kept at a distance D from the slits. (i) Depict variation of intensity in the fringe pattern with the angular position of the fringes. (ii) How is the linear width of central maximum affected when separation between the slit and the screen is decreased ?- Q.182 marksThe hole concentration in an intrinsic semiconductor is . When it is doped with certain impurity, the electron concentration becomes . Find the new value of the hole concentration. Also identify the type of new semiconductor formed after doping.
- Q.192 marksA concave mirror of radius of curvature 16 cm produces two-times enlarged real image of an object kept in front of it. Find the position of the object.
- Q.202 marksProve that the density of nuclear matter is same for all nuclei.
- Q.212 marksAn electric dipole consists of two point charges and , held 10 cm apart. It is subjected to a uniform electric field of 100 N/C. Calculate the amount of work done in turning the dipole from its position of stable equilibrium to the position of unstable equilibrium, in the field.
Section C
3 marks each
- Q.22 (a)3 marksThe figure given below shows three straight long parallel conductors , and kept in x-y plane, carrying currents 2I, I and 3I respectively as shown in figure. Find the magnitude and direction of : (i) net magnetic field at a point on conductor and (ii) net magnetic force acting on unit length of conductor , due to conductors and .
OR
Q.22 (b)3 marksA rectangular loop of sides and b and resistance 'R' is kept in a region in which the magnetic field varies as . (i) Derive expression for the emf induced in the loop. (ii) Find the effective value of current that flows in the loop.- Q.233 marksWith the help of a circuit diagram, explain the working of a full wave rectifier. Depict the input and output waveforms.
- Q.243 marksIn Bohr model of hydrogen atom, calculate : (a) the radius of the innermost electron orbit, and (b) the speed of electron in this orbit.
- Q.253 marks(a) Explain how the dual aspect of matter is evident in the de Broglie relation. (b) Radiation of wavelength is incident on a photosensitive surface. Find the de Broglie wavelength of electrons emitted from the surface. Assume that the work function of the surface is negligible.
- Q.263 marksWhat are microwaves ? How are they produced ? Give any two uses of microwaves.
- Q.273 marksA conducting rectangular loop of area and resistance is removed from a region of uniform magnetic field, acting normal to the plane of the loop. The value of induced current I in the loop varies with time t, as shown in the figure. Find : (a) total charge that passed through the loop (b) change in magnetic flux through the loop (c) magnitude of magnetic field in the region
- Q.283 marks(a) The two Kirchhoff's rules are based on law of conservation of two physical quantities. Name the quantities. (b) Find magnitude and direction of current in resistor in the given circuit.
Section D
1 mark each
- An astronomical telescope consists of two converging lenses. One of them of large aperture and large focal length is called objective lens and the other one, of smaller focal length and smaller aperture is called the eyepiece. It is used to see distant objects which are not seen clearly with naked eyes. The image formed by the objective lens acts as an object for the eyepiece and the final image produced by the eyepiece is magnified.Q.29 (i)1 markThe images formed by the objective lens and the eyepiece are respectively :
Tap an option to check your answer.
- Q.29 (ii)1 markThe magnification produced by the telescope does not depend upon the :
Tap an option to check your answer.
- Q.29 (iii)1 markWhich of the following statements is not correct for this telescope ?
Tap an option to check your answer.
- Q.29 (iv) (a)1 markAn astronomical telescope has objective lens and eyepiece of focal lengths 80 cm and 4 cm respectively. To view the image in normal adjustment, the lenses must be separated by a distance of :
Tap an option to check your answer.
OR
Q.29 (iv) (b)1 markConsider the telescope described in question (iv) (a). Its magnifying power in normal adjustment will be :Tap an option to check your answer.
- A student sets up the circuit as shown in the figure to find the value of unknown resistance X and records a set of readings of the voltmeter and the ammeter by using the rheostat.Q.30 (i)1 markIf resistor X were made of manganin and readings for V and I are taken without switching off the circuit, the graph between V and I will be as :
Tap an option to check your answer.
- Q.30 (ii)1 markError in the value of X obtained from different sets of voltmeter and ammeter readings, is :
Tap an option to check your answer.
- Q.30 (iii)1 markIf the movable end of rheostat is moved towards P, then :
Tap an option to check your answer.
- Q.30 (iv) (a)1 markSuppose the unknown resistance X is replaced by a wire made of the same metal. This wire consists of three parts, of the same length L but has radii r, r/3 and r/2 as shown in the figure. For a particular setting of the rheostat, let , and be the value of drift velocities in parts AC, CD and DB. Then :
Tap an option to check your answer.
OR
Q.30 (iv) (b)1 markConsider the same wire, as shown in figure in question (iv) (a) connected in place of X. For a particular setting of rheostat, let , and be the value of electric fields in part AC, CD and DB. Then :Tap an option to check your answer.
Section E
5 marks each
- Q.31 (a)5 marks(i) Explain the following statements giving reason : (I) An equipotential surface through a point is normal to the electric field at that point. (II) When a dielectric is placed in an external electric field, the electric field inside the dielectric is less than that outside it. (III) The potential difference between the plates of a charged parallel plate capacitor decreases when its plates are brought closer. (ii) Obtain an expression for the work done to dissociate the system of three charges q, and 2q placed at the vertices A, B and C respectively of an equilateral triangle of side 'a'.
OR
Q.31 (b)5 marks(i) Answer the following giving reason : (I) The electron drift speed is estimated to be only a few mm/s for currents in the range of a few amperes. How, then, is the current established almost the instant a circuit is closed ? (II) A low voltage supply from which one needs high currents must have very low internal resistance. Why ? (III) The assertion that V = IR is a statement of Ohm's law is not true. Why ? (ii) Two cells of emfs 12 V and 6 V are connected in parallel as shown in the figure. Their internal resistances are 1 and respectively. Calculate the emf and internal resistance of the equivalent cell between points A and B.- Q.32 (a)5 marks(i) Define refractive index of a medium in terms of speed of light. (ii) Derive the relation for the refractive index of a prism in terms of angle of minimum derivation and angle of prism (A). (iii) A ray of light QP is incident normally on the face BC of a triangular prism ABC of refractive index kept in air, as shown in the figure. Trace the path of the ray as it passes through the prism and give relevant explanation.
OR
Q.32 (b)5 marks(i) What is the difference between a ray and a wavefront ? (ii) A plane wave is incident on a reflecting surface. Using Huygens principle, show how it is reflected from the surface. Hence, verify the law of reflection. (iii) Depict refraction of a plane wave by a convex lens.- Q.33 (a)5 marks(i) Define the terms (I) resonant frequency, and (II) power factor of a series LCR circuit. For what value of the power factor will the power dissipated in the circuit be maximum ? (ii) An inductor of H, a capacitor of and a resistor of 400 are connected in series across an ac voltage V. Calculate : (I) impedance of the circuit, and (II) rms value of current that flows in the circuit. (Take )
OR
Q.33 (b)5 marks(i) Draw a labelled diagram of a step-up transformer. Obtain the ratio of secondary voltage to primary voltage in terms of number of turns in the two coils. (ii) The number of turns in the primary and the secondary coil of an ideal transformer are 100 and 5000 respectively. If kW power is supplied to the transformer at 220 V, find (I) current in the primary coil, and (II) output voltage.
Section A
1 mark each
- Q.11 markRadiation of wavelength 331 nm irradiates the following metals :Which of the following statements is correct ?
Metal Work Function (eV) Na K Ca Mo Tap an option to check your answer.
- Q.21 markThe ratio of amplitude of electric field to the amplitude of the magnetic field associated with an electromagnetic wave propagating in glass is :
Tap an option to check your answer.
- Q.31 markAn ac voltage is given as V. The average and the effective value of the voltage (in V) over a cycle are respectively :
Tap an option to check your answer.
- Q.41 markIn a reversed-biased p-n junction diode, the applied voltage mostly drops across :
Tap an option to check your answer.
- Q.51 markTwo particles of masses and having charges and respectively are projected with the same velocity in a region of uniform magnetic field pointing vertically upward. If they describe circular paths as shown in the figure, one may conclude that :
Tap an option to check your answer.
- Q.61 markPaschen series in spectrum of hydrogen atom lies in :
Tap an option to check your answer.
- Q.71 markThe kinetic energy of a charged particle is increased to four times of its initial value. The de Broglie wavelength associated with the particle will :
Tap an option to check your answer.
- Q.81 markThe resistivity of a metal increases with rise in temperature because :
Tap an option to check your answer.
- Q.91 markTwo coils are placed closed to each other. The mutual inductance of the pair of coils depends upon the :
Tap an option to check your answer.
- Q.101 markWhich of the following statements is true about mobility of charge carriers in a metal ?
Tap an option to check your answer.
- Q.111 markA galvanometer of resistance G is converted into a voltmeter of range (0 – V) by connecting a resistor of 250 with it. If resistor of 250 is replaced by another resistor of 900 , its range becomes (0 – 3 V). The resistance G of the galvanometer is :
Tap an option to check your answer.
- Q.121 markPhotons of frequency are incident on the surfaces of two metals A and B of threshold frequencies and . The ratio of maximum kinetic energy of electrons emitted from metal A to that from metal B is :
Tap an option to check your answer.
- Questions number 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) : When a convex lens made of glass is immersed in water, its converging power increases. Reason (R) : The focal length of a lens depends only on the radii of curvature of its two faces.
Tap an option to check your answer.
- Q.141 markAssertion (A) : The conductivity of an n-type semiconductor is higher than that of a p-type semiconductor at a given temperature. Reason (R) : The electrons being in the conduction band in n-type semiconductor are more mobile than the holes in the valence band in p-type semiconductor.
Tap an option to check your answer.
- Q.151 markAssertion (A) : The work done, in taking a unit charge around a closed loop of an electric circuit involving cells and resistors in the loop, is zero. Reason (R) : The potential at a point depends on the location of the point in the loop. After completing one round, the charge comes back to the point of start.
Tap an option to check your answer.
- Q.161 markAssertion (A) : When a ferromagnetic substance is heated to high temperature it becomes paramagnetic in nature. Reason (R) : The disappearance of magnetisation of a ferromagnet is abrupt and not gradual.
Tap an option to check your answer.
Section B
2 marks each
- Q.172 marksThe hole concentration in an intrinsic semiconductor is . When it is doped with certain impurity, the electron concentration becomes . Find the new value of the hole concentration. Also identify the type of new semiconductor formed after doping.
- Q.182 marksAn electric dipole consists of two point charges and , held 10 cm apart. It is subjected to a uniform electric field of 100 N/C. Calculate the amount of work done in turning the dipole from its position of stable equilibrium to the position of unstable equilibrium, in the field.
- Q.19 (a)2 marksState Huygens principle. How did Huygens justify the absence of the backwave on a spherical wavefront ?
OR
Q.19 (b)2 marksIn a single-slit diffraction experiment, light of wavelength illuminates the slit of width 'a'. The diffraction pattern is observed on a screen kept at a distance D from the slits. (i) Depict variation of intensity in the fringe pattern with the angular position of the fringes. (ii) How is the linear width of central maximum affected when separation between the slit and the screen is decreased ?- Q.202 marksA convex lens of refractive index has a focal length of 20 cm in air. Find its nature and focal length when it is immersed in a transparent liquid of refractive index .
- Q.212 marksDifferentiate between nuclear fission and nuclear fusion, giving one example for each.
Section C
3 marks each
- Q.223 marksWith the help of a circuit diagram, explain the working of a full wave rectifier. Depict the input and output waveforms.
- Q.233 marks(a) Explain how the dual aspect of matter is evident in the de Broglie relation. (b) Radiation of wavelength is incident on a photosensitive surface. Find the de Broglie wavelength of electrons emitted from the surface. Assume that the work function of the surface is negligible.
- Q.24 (a)3 marksThe figure given below shows three straight long parallel conductors , and kept in x-y plane, carrying currents 2I, I and 3I respectively as shown in figure. Find the magnitude and direction of : (i) net magnetic field at a point on conductor and (ii) net magnetic force acting on unit length of conductor , due to conductors and .
OR
Q.24 (b)3 marksA rectangular loop of sides and b and resistance 'R' is kept in a region in which the magnetic field varies as . (i) Derive expression for the emf induced in the loop. (ii) Find the effective value of current that flows in the loop.- Q.253 marksWhat are X-rays ? How are they produced ? Give two uses of X-rays.
- Q.263 marks(a) Distinguish between isotopes and isobars, giving one example for each. (b) Derive the relation between atomic mass unit (u) and electron volt (eV).
- Q.273 marks(a) 'Current is a scalar quantity, although we represent current with an arrow.' Explain. (b) Derive the balance condition of a Wheatstone Bridge.
- Q.283 marksTwo coils, one of radius cm having 10 turns and the other of radius 5 cm having 50 turns are placed coaxially in air such that their centres are coincident. Calculate : (a) the magnetic flux through the smaller coil if the larger coil carries a current of 3 A, and (b) the mutual inductance of the two coils.
Section D
1 mark each
- An astronomical telescope consists of two converging lenses. One of them of large aperture and large focal length is called objective lens and the other one, of smaller focal length and smaller aperture is called the eyepiece. It is used to see distant objects which are not seen clearly with naked eyes. The image formed by the objective lens acts as an object for the eyepiece and the final image produced by the eyepiece is magnified.Q.29 (i)1 markThe images formed by the objective lens and the eyepiece are respectively :
Tap an option to check your answer.
- Q.29 (ii)1 markThe magnification produced by the telescope does not depend upon the :
Tap an option to check your answer.
- Q.29 (iii)1 markWhich of the following statements is not correct for this telescope ?
Tap an option to check your answer.
- Q.29 (iv) (a)1 markAn astronomical telescope has objective lens and eyepiece of focal lengths 80 cm and 4 cm respectively. To view the image in normal adjustment, the lenses must be separated by a distance of :
Tap an option to check your answer.
OR
Q.29 (iv) (b)1 markConsider the telescope described in question (iv) (a). Its magnifying power in normal adjustment will be :Tap an option to check your answer.
- A student sets up the circuit as shown in the figure to find the value of unknown resistance X and records a set of readings of the voltmeter and the ammeter by using the rheostat.Q.30 (i)1 markIf resistor X were made of manganin and readings for V and I are taken without switching off the circuit, the graph between V and I will be as :
Tap an option to check your answer.
- Q.30 (ii)1 markError in the value of X obtained from different sets of voltmeter and ammeter readings, is :
Tap an option to check your answer.
- Q.30 (iii)1 markIf the movable end of rheostat is moved towards P, then :
Tap an option to check your answer.
- Q.30 (iv) (a)1 markSuppose the unknown resistance X is replaced by a wire made of the same metal. This wire consists of three parts, of the same length L but has radii r, r/3 and r/2 as shown in the figure. For a particular setting of the rheostat, let , and be the value of drift velocities in parts AC, CD and DB. Then :
Tap an option to check your answer.
OR
Q.30 (iv) (b)1 markConsider the same wire, as shown in figure in question (iv) (a) connected in place of X. For a particular setting of rheostat, let , and be the value of electric fields in part AC, CD and DB. Then :Tap an option to check your answer.
Section E
5 marks each
- Q.31 (a)5 marks(i) Define the terms (I) resonant frequency, and (II) power factor of a series LCR circuit. For what value of the power factor will the power dissipated in the circuit be maximum ? (ii) An inductor of H, a capacitor of and a resistor of 400 are connected in series across an ac voltage V. Calculate : (I) impedance of the circuit, and (II) rms value of current that flows in the circuit. (Take )
OR
Q.31 (b)5 marks(i) Draw a labelled diagram of a step-up transformer. Obtain the ratio of secondary voltage to primary voltage in terms of number of turns in the two coils. (ii) The number of turns in the primary and the secondary coil of an ideal transformer are 100 and 5000 respectively. If kW power is supplied to the transformer at 220 V, find (I) current in the primary coil, and (II) output voltage.- Q.32 (a)5 marks(i) Explain the following statements giving reason : (I) An equipotential surface through a point is normal to the electric field at that point. (II) When a dielectric is placed in an external electric field, the electric field inside the dielectric is less than that outside it. (III) The potential difference between the plates of a charged parallel plate capacitor decreases when its plates are brought closer. (ii) Obtain an expression for the work done to dissociate the system of three charges q, and 2q placed at the vertices A, B and C respectively of an equilateral triangle of side 'a'.
OR
Q.32 (b)5 marks(i) Answer the following giving reason : (I) The electron drift speed is estimated to be only a few mm/s for currents in the range of a few amperes. How, then, is the current established almost the instant a circuit is closed ? (II) A low voltage supply from which one needs high currents must have very low internal resistance. Why ? (III) The assertion that V = IR is a statement of Ohm's law is not true. Why ? (ii) Two cells of emfs 12 V and 6 V are connected in parallel as shown in the figure. Their internal resistances are 1 and respectively. Calculate the emf and internal resistance of the equivalent cell between points A and B.- Q.33 (a)5 marks(i) Define refractive index of a medium in terms of speed of light. (ii) Derive the relation for the refractive index of a prism in terms of angle of minimum derivation and angle of prism (A). (iii) A ray of light QP is incident normally on the face BC of a triangular prism ABC of refractive index kept in air, as shown in the figure. Trace the path of the ray as it passes through the prism and give relevant explanation.
OR
Q.33 (b)5 marks(i) What is the difference between a ray and a wavefront ? (ii) A plane wave is incident on a reflecting surface. Using Huygens principle, show how it is reflected from the surface. Hence, verify the law of reflection. (iii) Depict refraction of a plane wave by a convex lens.