CBSE Class 12 Physics 2023 question paper (55/2)
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 markThe magnitude of the electric field due to a point charge object at a distance of 4.0 m is 9 N/C. From the same charged object the electric field of magnitude, will be at a distance of
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- Q.21 markA point P lies at a distance from the mid point of an electric dipole on its axis. The electric potential at point P is proportional to
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- Q.31 markA current of 0.8 A flows in a conductor of 40 for 1 minute. The heat produced in the conductor will be
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- Q.41 markA cell of emf E is connected across an external resistance R. When current 'I' is drawn from the cell, the potential difference across the electrodes of the cell drops to V. The internal resistance 'r' of the cell is
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- Q.51 markBeams of electrons and protons move parallel to each other in the same direction. They
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- Q.61 markA long straight wire of radius 'a' carries a steady current 'I'. The current is uniformly distributed across its area of cross-section. The ratio of magnitude of magnetic field at and at distance 2a is
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- Q.71 markand represent the electric and the magnetic field of an electromagnetic wave respectively. The direction of propagation of the wave is along
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- Q.81 markA ray of monochromatic light propagating in air, is incident on the surface of water. Which of the following will be the same for the reflected and refracted rays ?
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- Q.91 markA beam of light travels from air into a medium. Its speed and wavelength in the medium are ms and 230 nm respectively. The wavelength of light in air will be
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- Q.101 markWhich one of the following metals does not exhibit emission of electrons from its surface when irradiated by visible light ?
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- Q.111 markA hydrogen atom makes a transition from n = 5 to n = 1 orbit. The wavelength of photon emitted is . The wavelength of photon emitted when it makes a transition from n = 5 to n = 2 orbit is
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- Q.121 markThe curve of binding energy per nucleon as a function of atomic mass number has a sharp peak for helium nucleus. This implies that helium nucleus is
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- Q.131 markIn an extrinsic semiconductor, the number density of holes is m. If the number density of intrinsic carriers is m, the number density of electrons in it is
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- Q.141 markPieces of copper and of silicon are initially at room temperature. Both are heated to temperature T. The conductivity of
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- Q.151 markThe formation of depletion region in a p-n junction diode is due 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 :Q.161 markAssertion (A) : Diamagnetic substances exhibit magnetism. Reason (R) : Diamagnetic materials do not have permanent magnetic dipole moment.
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- Q.171 markAssertion (A) : Work done in moving a charge around a closed path, in an electric field is always zero. Reason (R) : Electrostatic force is a conservative force.
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- Q.181 markAssertion (A) : In Young's double slit experiment all fringes are of equal width. Reason (R) : The fringe width depends upon wavelength of light () used, distance of screen from plane of slits (D) and slits separation (d).
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Section B
2 marks each
- Q.192 marksBriefly explain why and how a galvanometer is converted into an ammeter.
- Q.20 (a)2 marksHow are infrared waves produced ? Why are these waves referred to as heat waves ? Give any two uses of infrared waves.
OR
Q.20 (b)2 marksHow are X-rays produced ? Give any two uses of these.- Q.212 marksIn the given figure the radius of curvature of curved face in the plano-convex and the plano-concave lens is 15 cm each. The refractive index of the material of the lenses is 1.5. Find the final position of the image formed.
- Q.222 marksWhat happens to the interference pattern when two coherent sources are (a) infinitely close, and (b) far apart from each other
- Q.23 (a)2 marksWhat is meant by ionisation energy ? Write its value for hydrogen atom.
OR
Q.23 (b)2 marksDefine the term, mass defect. How is it related to stability of the nucleus ?- Q.242 marksDraw energy band diagram for an n-type and p-type semiconductor at T > 0 K.
- Q.252 marksAnswer the following giving reasons : (i) A p-n junction diode is damaged by a strong current. (ii) Impurities are added in intrinsic semiconductors.
Section C
3 marks each
- Q.26 (a)3 marksTwo charged conducting spheres of radii a and b are connected to each other by a wire. Find the ratio of the electric fields at their surfaces.
OR
Q.26 (b)3 marksA parallel plate capacitor (A) of capacitance C is charged by a battery to voltage V. The battery is disconnected and an uncharged capacitor (B) of capacitance 2C is connected across A. Find the ratio of (i) final charges on A and B. (ii) total electrostatic energy stored in A and B finally and that stored in A initially.- Q.273 marksDefine current density and relaxation time. Derive an expression for resistivity of a conductor in terms of number density of charge carriers in the conductor and relaxation time.
- Q.283 marksA series CR circuit with R = 200 and C = F is connected across an ac source of peak voltage = 100 V and frequency = 50 Hz. Calculate (a) impedance of the circuit (Z), (b) phase angle , and (c) voltage across the resistor.
- Q.293 marksDefine critical angle for a given pair of media and total internal reflection. Obtain the relation between the critical angle and refractive index of the medium.
- Q.30 (a)3 marks(i) Distinguish between nuclear fission and fusion giving an example of each. (ii) Explain the release of energy in nuclear fission and fusion on the basis of binding energy per nucleon curve.
OR
Q.30 (b)3 marks(i) How is the size of a nucleus found experimentally ? Write the relation between the radius and mass number of a nucleus. (ii) Prove that the density of a nucleus is independent of its mass number.
Section D
5 marks each
- Q.31 (a)5 marks(i) Use Gauss' law to obtain an expression for the electric field due to an infinitely long thin straight wire with uniform linear charge density . (ii) An infinitely long positively charged straight wire has a linear charge density . An electron is revolving in a circle with a constant speed such that the wire passes through the centre, and is perpendicular to the plane, of the circle. Find the kinetic energy of the electron in terms of magnitudes of its charge and linear charge density on the wire. (iii) Draw a graph of kinetic energy as a function of linear charge density .
OR
Q.31 (b)5 marks(i) Consider two identical point charges located at points (0, 0) and (a, 0). (1) Is there a point on the line joining them at which the electric field is zero ? (2) Is there a point on the line joining them at which the electric potential is zero ? Justify your answers for each case. (ii) State the significance of negative value of electrostatic potential energy of a system of charges. Three charges are placed at the corners of an equilateral triangle ABC of side 2.0 m as shown in figure. Calculate the electric potential energy of the system of three charges.- Q.32 (a)5 marks(i) Define coefficient of self-induction. Obtain an expression for self-inductance of a long solenoid of length , area of cross-section A having N turns. (ii) Calculate the self-inductance of a coil using the following data obtained when an AC source of frequency Hz and a DC source is applied across the coil. AC SourceDC Source
S.No. V (Volts) I (A) 1 3.0 0.5 2 6.0 1.0 3 9.0 1.5 S.No. V (Volts) I (A) 1 4.0 1.0 2 6.0 1.5 3 8.0 2.0 OR
Q.32 (b)5 marks(i) With the help of a labelled diagram, describe the principle and working of an ac generator. Hence, obtain an expression for the instantaneous value of the emf generated. (ii) The coil of an ac generator consists of 100 turns of wire, each of area 0.5 m. The resistance of the wire is 100 . The coil is rotating in a magnetic field of 0.8 T perpendicular to its axis of rotation, at a constant angular speed of 60 radian per second. Calculate the maximum emf generated and power dissipated in the coil.- Q.33 (a)5 marks(i) State Huygen's principle. With the help of a diagram, show how a plane wave is reflected from a surface. Hence verify the law of reflection. (ii) A concave mirror of focal length 12 cm forms a three times magnified virtual image of an object. Find the distance of the object from the mirror.
OR
Q.33 (b)5 marks(i) Draw a labelled ray diagram showing the image formation by a refracting telescope. Define its magnifying power. Write two limitations of a refracting telescope over a reflecting telescope. (ii) The focal lengths of the objective and the eye-piece of a compound microscope are 1.0 cm and 2.5 cm respectively. Find the tube length of the microscope for obtaining a magnification of 300.
Section E
- Consider the experimental set up shown in the figure. This jumping ring experiment is an outstanding demonstration of some simple laws of Physics. A conducting non-magnetic ring is placed over the vertical core of a solenoid. When current is passed through the solenoid, the ring is thrown off. Answer the following questions :Q.34 (a) (i)1 markExplain the reason of jumping of the ring when the switch is closed in the circuit.
- Q.34 (a) (ii)1 markWhat will happen if the terminals of the battery are reversed and the switch is closed ? Explain.
- Q.34 (a) (iii)2 marksExplain the two laws that help us understand this phenomenon.
OR
Q.34 (b)4 marksBriefly explain various ways to increase the strength of magnetic field produced by a given solenoid.- Figure shows the variation of photoelectric current measured in a photo cell circuit as a function of the potential difference between the plates of the photo cell when light beams A, B, C and D of different wavelengths are incident on the photo cell. Examine the given figure and answer the following questions :Q.35 (a) (i)1 markWhich light beam has the highest frequency and why ?
- Q.35 (a) (ii)1 markWhich light beam has the longest wavelength and why ?
- Q.35 (a) (iii)2 marksWhich light beam ejects photoelectrons with maximum momentum and why ?
OR
Q.35 (b)4 marksWhat is the effect on threshold frequency and stopping potential on increasing the frequency of incident beam of light ? Justify your answer.
Section A
1 mark each
- Q.11 markThe ratio of the magnitudes of the electric field and magnetic field of a plane electromagnetic wave is
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- Q.21 markSpecify the transition of electron in the wavelength of the line in the Bohr model of hydrogen atom which gives rise to the spectral line of highest wavelength.
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- Q.31 markA ray of monochromatic light propagating in air, is incident on the surface of water. Which of the following will be the same for the reflected and refracted rays ?
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- Q.41 markThe formation of depletion region in a p-n junction diode is due to
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- Q.51 markAn isolated point charge particle produces an electric field at a point 3 m away from it. The distance of the point at which the field is will be
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- Q.61 markThe curve of binding energy per nucleon as a function of atomic mass number has a sharp peak for helium nucleus. This implies that helium nucleus is
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- Q.71 markA steady current of 8 mA flows through a wire. The number of electrons passing through a cross-section of the wire in 10 s is
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- Q.81 markWhich one of the following elements will require the highest energy to take out an electron from them ? Pb, Ge, C and Si
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- Q.91 markA conductor of 10 is connected across a 6 V ideal source. The power supplied by the source to the conductor is
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- Q.101 markIn an extrinsic semiconductor, the number density of holes is m. If the number density of intrinsic carriers is m, the number density of electrons in it is
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- Q.111 markA cell of emf E is connected across an external resistance R. When current 'I' is drawn from the cell, the potential difference across the electrodes of the cell drops to V. The internal resistance 'r' of the cell is
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- Q.121 markA photon of wavelength 663 nm is incident on a metal surface. The work function of the metal is 1.50 eV. The maximum kinetic energy of the emitted photo electrons is
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- Q.131 markBeams of electrons and protons move parallel to each other in the same direction. They
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- Q.141 markA ray of light of wavelength 600 nm propagates from air into a medium. If its wavelength in the medium becomes 400 nm, the refractive index of the medium is
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- Q.151 markA long straight wire of radius 'a' carries a steady current 'I'. The current is uniformly distributed across its area of cross-section. The ratio of magnitude of magnetic field at and at distance 2a is
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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 :Q.161 markAssertion (A) : Work done in moving a charge around a closed path, in an electric field is always zero. Reason (R) : Electrostatic force is a conservative force.
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- Q.171 markAssertion (A) : In Young's double slit experiment all fringes are of equal width. Reason (R) : The fringe width depends upon wavelength of light () used, distance of screen from plane of slits (D) and slits separation (d).
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- Q.181 markAssertion (A) : Diamagnetic substances exhibit magnetism. Reason (R) : Diamagnetic materials do not have permanent magnetic dipole moment.
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Section B
2 marks each
- Q.192 marksIn a Young's double slit experiment, the separation between the two slits is d and distance of the screen from the slits is 1000 d. If the first minima falls at a distance d from the central maximum, obtain the relation between d and .
- Q.202 marksDraw energy band diagram for an n-type and p-type semiconductor at T > 0 K.
- Q.212 marksAnswer the following giving reasons : (i) A p-n junction diode is damaged by a strong current. (ii) Impurities are added in intrinsic semiconductors.
- Q.22 (a)2 marksHow are infrared waves produced ? Why are these waves referred to as heat waves ? Give any two uses of infrared waves.
OR
Q.22 (b)2 marksHow are X-rays produced ? Give any two uses of these.- Q.232 marksBriefly explain why and how a galvanometer is converted into an ammeter.
- Q.24 (a)2 marksWhat is meant by ionisation energy ? Write its value for hydrogen atom.
OR
Q.24 (b)2 marksDefine the term, mass defect. How is it related to stability of the nucleus ?- Q.252 marksA point object in air is placed symmetrically at a distance of 60 cm in front of a concave spherical surface of refractive index 1.5. If the radius of curvature of the surface is 20 cm, find the position of the image formed.
Section C
3 marks each
- Q.263 marksA series RL circuit with R = 10 and L = mH is connected to an ac source of voltage V = 141 sin (100 t), where V is in volts and t is in seconds. Calculate (a) impedence of the circuit (b) phase angle, and (c) voltage drop across the inductor
- Q.273 marksA ray of light is incident on a glass prism of refractive index and refracting angle A. If it just suffers total internal reflection at the other face, obtain a relation between the angle of incidence, angle of prism and critical angle.
- Q.28 (a)3 marks(i) Distinguish between nuclear fission and fusion giving an example of each. (ii) Explain the release of energy in nuclear fission and fusion on the basis of binding energy per nucleon curve.
OR
Q.28 (b)3 marks(i) How is the size of a nucleus found experimentally ? Write the relation between the radius and mass number of a nucleus. (ii) Prove that the density of a nucleus is independent of its mass number.- Q.293 marksTwo cells of emf and and internal resistances and are connected in parallel, with their terminals of the same polarity connected together. Obtain an expression for the equivalent emf of the combination.
- Q.30 (a)3 marksTwo charged conducting spheres of radii a and b are connected to each other by a wire. Find the ratio of the electric fields at their surfaces.
OR
Q.30 (b)3 marksA parallel plate capacitor (A) of capacitance C is charged by a battery to voltage V. The battery is disconnected and an uncharged capacitor (B) of capacitance 2C is connected across A. Find the ratio of (i) final charges on A and B. (ii) total electrostatic energy stored in A and B finally and that stored in A initially.
Section D
5 marks each
- Q.31 (a)5 marks(i) State Huygen's principle. With the help of a diagram, show how a plane wave is reflected from a surface. Hence verify the law of reflection. (ii) A concave mirror of focal length 12 cm forms a three times magnified virtual image of an object. Find the distance of the object from the mirror.
OR
Q.31 (b)5 marks(i) Draw a labelled ray diagram showing the image formation by a refracting telescope. Define its magnifying power. Write two limitations of a refracting telescope over a reflecting telescope. (ii) The focal lengths of the objective and the eye-piece of a compound microscope are 1.0 cm and 2.5 cm respectively. Find the tube length of the microscope for obtaining a magnification of 300.- Q.32 (a)5 marks(i) Use Gauss' law to obtain an expression for the electric field due to an infinitely long thin straight wire with uniform linear charge density . (ii) An infinitely long positively charged straight wire has a linear charge density . An electron is revolving in a circle with a constant speed such that the wire passes through the centre, and is perpendicular to the plane, of the circle. Find the kinetic energy of the electron in terms of magnitudes of its charge and linear charge density on the wire. (iii) Draw a graph of kinetic energy as a function of linear charge density .
OR
Q.32 (b)5 marks(i) Consider two identical point charges located at points (0, 0) and (a, 0). (1) Is there a point on the line joining them at which the electric field is zero ? (2) Is there a point on the line joining them at which the electric potential is zero ? Justify your answers for each case. (ii) State the significance of negative value of electrostatic potential energy of a system of charges. Three charges are placed at the corners of an equilateral triangle ABC of side 2.0 m as shown in figure. Calculate the electric potential energy of the system of three charges.- Q.33 (a)5 marks(i) Define coefficient of self-induction. Obtain an expression for self-inductance of a long solenoid of length , area of cross-section A having N turns. (ii) Calculate the self-inductance of a coil using the following data obtained when an AC source of frequency Hz and a DC source is applied across the coil. AC SourceDC Source
S.No. V (Volts) I (A) 1 3.0 0.5 2 6.0 1.0 3 9.0 1.5 S.No. V (Volts) I (A) 1 4.0 1.0 2 6.0 1.5 3 8.0 2.0 OR
Q.33 (b)5 marks(i) With the help of a labelled diagram, describe the principle and working of an ac generator. Hence, obtain an expression for the instantaneous value of the emf generated. (ii) The coil of an ac generator consists of 100 turns of wire, each of area 0.5 m. The resistance of the wire is 100 . The coil is rotating in a magnetic field of 0.8 T perpendicular to its axis of rotation, at a constant angular speed of 60 radian per second. Calculate the maximum emf generated and power dissipated in the coil.
Section E
- Figure shows the variation of photoelectric current measured in a photo cell circuit as a function of the potential difference between the plates of the photo cell when light beams A, B, C and D of different wavelengths are incident on the photo cell. Examine the given figure and answer the following questions :Q.34 (a) (i)1 markWhich light beam has the highest frequency and why ?
- Q.34 (a) (ii)1 markWhich light beam has the longest wavelength and why ?
- Q.34 (a) (iii)2 marksWhich light beam ejects photoelectrons with maximum momentum and why ?
OR
Q.34 (b)4 marksWhat is the effect on threshold frequency and stopping potential on increasing the frequency of incident beam of light ? Justify your answer.- Consider the experimental set up shown in the figure. This jumping ring experiment is an outstanding demonstration of some simple laws of Physics. A conducting non-magnetic ring is placed over the vertical core of a solenoid. When current is passed through the solenoid, the ring is thrown off. Answer the following questions :Q.35 (a) (i)1 markExplain the reason of jumping of the ring when the switch is closed in the circuit.
- Q.35 (a) (ii)1 markWhat will happen if the terminals of the battery are reversed and the switch is closed ? Explain.
- Q.35 (a) (iii)2 marksExplain the two laws that help us understand this phenomenon.
OR
Q.35 (b)4 marksBriefly explain various ways to increase the strength of magnetic field produced by a given solenoid.
Section A
1 mark each
- Q.11 markA long straight wire of radius 'a' carries a steady current 'I'. The current is uniformly distributed across its area of cross-section. The ratio of magnitude of magnetic field at and at distance 2a is
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- Q.21 markThe energy of a photon of wavelength 663 nm is
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- Q.31 markAn electromagnetic wave is produced by a charge
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- Q.41 markA semiconductor device is connected in series with a battery, an ammeter and a resisitor. A current flows in the circuit. If the polarity of the battery is reversed, the current in the circuit almost becomes zero. The device is a/an
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- Q.51 markThe formation of depletion region in a p-n junction diode is due to
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- Q.61 markThe radius of nucleus is R. The radius of nucleus will be
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- Q.71 markAn electric dipole of dipole moment C-m in a uniform electric field experiences a maximum torque of N-m. The magnitude of electric field is
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- Q.81 markIn an extrinsic semiconductor, the number density of holes is m. If the number density of intrinsic carriers is m, the number density of electrons in it is
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- Q.91 markA point charge is moving along a circular path of radius a, with a point charge at the centre of the circle. The kinetic energy of is
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- Q.101 markThe curve of binding energy per nucleon as a function of atomic mass number has a sharp peak for helium nucleus. This implies that helium nucleus is
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- Q.111 markThe current in a device varies with time t as , where I is in mA and t is in s. The amount of charge that passes through the device during t = 0s to t = 3s is
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- Q.121 markA ray of light travels a distance of 12.0 m in a transparent sheet in 60 ns. The refractive index of the sheet is
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- Q.131 markA cell of emf E is connected across an external resistance R. When current 'I' is drawn from the cell, the potential difference across the electrodes of the cell drops to V. The internal resistance 'r' of the cell is
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- Q.141 markA ray of monochromatic light propagating in air, is incident on the surface of water. Which of the following will be the same for the reflected and refracted rays ?
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- Q.151 markBeams of electrons and protons move parallel to each other in the same direction. They
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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 :Q.161 markAssertion (A) : In Young's double slit experiment all fringes are of equal width. Reason (R) : The fringe width depends upon wavelength of light () used, distance of screen from plane of slits (D) and slits separation (d).
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- Q.171 markAssertion (A) : Diamagnetic substances exhibit magnetism. Reason (R) : Diamagnetic materials do not have permanent magnetic dipole moment.
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- Q.181 markAssertion (A) : Work done in moving a charge around a closed path, in an electric field is always zero. Reason (R) : Electrostatic force is a conservative force.
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Section B
2 marks each
- Q.192 marksWhat happens to the interference pattern when two coherent sources are (a) infinitely close, and (b) far apart from each other
- Q.20 (a)2 marksWhat is meant by ionisation energy ? Write its value for hydrogen atom.
OR
Q.20 (b)2 marksDefine the term, mass defect. How is it related to stability of the nucleus ?- Q.212 marksWith the help of a circuit diagram, explain how a full wave rectifier gives output rectified voltage corresponding to both halves of the input ac voltage.
- Q.222 marksDraw energy band diagram for an n-type and p-type semiconductor at T > 0 K.
- Q.232 marksThe power of a thin lens is +5 D. When it is immersed in a liquid, it behaves like a concave lens of focal length 100 cm. Calculate the refractive index of the liquid. Given refractive index of glass = 1.5.
- Q.242 marksBriefly explain why and how a galvanometer is converted into an ammeter.
- Q.25 (a)2 marksHow are infrared waves produced ? Why are these waves referred to as heat waves ? Give any two uses of infrared waves.
OR
Q.25 (b)2 marksHow are X-rays produced ? Give any two uses of these.
Section C
3 marks each
- Q.263 marksA ray of light is refracted by a glass prism. Obtain an expression for the refractive index of the glass in terms of the angle of prism A and the angle of minimum deviation .
- Q.27 (a)3 marks(i) Distinguish between nuclear fission and fusion giving an example of each. (ii) Explain the release of energy in nuclear fission and fusion on the basis of binding energy per nucleon curve.
OR
Q.27 (b)3 marks(i) How is the size of a nucleus found experimentally ? Write the relation between the radius and mass number of a nucleus. (ii) Prove that the density of a nucleus is independent of its mass number.- Q.28 (a)3 marksTwo charged conducting spheres of radii a and b are connected to each other by a wire. Find the ratio of the electric fields at their surfaces.
OR
Q.28 (b)3 marksA parallel plate capacitor (A) of capacitance C is charged by a battery to voltage V. The battery is disconnected and an uncharged capacitor (B) of capacitance 2C is connected across A. Find the ratio of (i) final charges on A and B. (ii) total electrostatic energy stored in A and B finally and that stored in A initially.- Q.293 marksA potential difference V is applied across a conductor of length and cross-sectional area A. Briefly explain how the current density j in the conductor will be affected if (a) the potential difference V is doubled, (b) the conductor were gradually stretched to reduce its cross-sectional area to and then the same potential difference V is applied across it.
- Q.303 marksA resistor of 50 , a capacitor of F and an inductor of H are connected in series across an ac source whose voltage (in volt) is given by V= 70 sin (100 t). Calculate : (a) the net reactance of the circuit, (b) the impedence of the circuit (c) the effective value of current in the circuit.
Section D
5 marks each
- Q.31 (a)5 marks(i) Define coefficient of self-induction. Obtain an expression for self-inductance of a long solenoid of length , area of cross-section A having N turns. (ii) Calculate the self-inductance of a coil using the following data obtained when an AC source of frequency Hz and a DC source is applied across the coil. AC SourceDC Source
S.No. V (Volts) I (A) 1 3.0 0.5 2 6.0 1.0 3 9.0 1.5 S.No. V (Volts) I (A) 1 4.0 1.0 2 6.0 1.5 3 8.0 2.0 OR
Q.31 (b)5 marks(i) With the help of a labelled diagram, describe the principle and working of an ac generator. Hence, obtain an expression for the instantaneous value of the emf generated. (ii) The coil of an ac generator consists of 100 turns of wire, each of area 0.5 m. The resistance of the wire is 100 . The coil is rotating in a magnetic field of 0.8 T perpendicular to its axis of rotation, at a constant angular speed of 60 radian per second. Calculate the maximum emf generated and power dissipated in the coil.- Q.32 (a)5 marks(i) State Huygen's principle. With the help of a diagram, show how a plane wave is reflected from a surface. Hence verify the law of reflection. (ii) A concave mirror of focal length 12 cm forms a three times magnified virtual image of an object. Find the distance of the object from the mirror.
OR
Q.32 (b)5 marks(i) Draw a labelled ray diagram showing the image formation by a refracting telescope. Define its magnifying power. Write two limitations of a refracting telescope over a reflecting telescope. (ii) The focal lengths of the objective and the eye-piece of a compound microscope are 1.0 cm and 2.5 cm respectively. Find the tube length of the microscope for obtaining a magnification of 300.- Q.33 (a)5 marks(i) Use Gauss' law to obtain an expression for the electric field due to an infinitely long thin straight wire with uniform linear charge density . (ii) An infinitely long positively charged straight wire has a linear charge density . An electron is revolving in a circle with a constant speed such that the wire passes through the centre, and is perpendicular to the plane, of the circle. Find the kinetic energy of the electron in terms of magnitudes of its charge and linear charge density on the wire. (iii) Draw a graph of kinetic energy as a function of linear charge density .
OR
Q.33 (b)5 marks(i) Consider two identical point charges located at points (0, 0) and (a, 0). (1) Is there a point on the line joining them at which the electric field is zero ? (2) Is there a point on the line joining them at which the electric potential is zero ? Justify your answers for each case. (ii) State the significance of negative value of electrostatic potential energy of a system of charges. Three charges are placed at the corners of an equilateral triangle ABC of side 2.0 m as shown in figure. Calculate the electric potential energy of the system of three charges.
Section E
- Consider the experimental set up shown in the figure. This jumping ring experiment is an outstanding demonstration of some simple laws of Physics. A conducting non-magnetic ring is placed over the vertical core of a solenoid. When current is passed through the solenoid, the ring is thrown off. Answer the following questions :Q.34 (a) (i)1 markExplain the reason of jumping of the ring when the switch is closed in the circuit.
- Q.34 (a) (ii)1 markWhat will happen if the terminals of the battery are reversed and the switch is closed ? Explain.
- Q.34 (a) (iii)2 marksExplain the two laws that help us understand this phenomenon.
OR
Q.34 (b)4 marksBriefly explain various ways to increase the strength of magnetic field produced by a given solenoid.- Figure shows the variation of photoelectric current measured in a photo cell circuit as a function of the potential difference between the plates of the photo cell when light beams A, B, C and D of different wavelengths are incident on the photo cell. Examine the given figure and answer the following questions :Q.35 (a) (i)1 markWhich light beam has the highest frequency and why ?
- Q.35 (a) (ii)1 markWhich light beam has the longest wavelength and why ?
- Q.35 (a) (iii)2 marksWhich light beam ejects photoelectrons with maximum momentum and why ?
OR
Q.35 (b)4 marksWhat is the effect on threshold frequency and stopping potential on increasing the frequency of incident beam of light ? Justify your answer.