CBSE Class 12 Physics 2023 question paper (55/3)
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 electron experiences a force in an electric field . The electric field is :
Tap an option to check your answer.
- Q.21 markWhich one of the following is not a scalar quantity ?
Tap an option to check your answer.
- Q.31 markThe current density due to drift of electrons in a conductor is given by : (symbols have their usual meanings)
Tap an option to check your answer.
- Q.41 markWhich of the following graphs correctly represents the variation of the magnitude of the magnetic field outside a straight infinite current carrying wire of radius ‘a’, as a function of distance ‘r’ from the centre of the wire ?
Tap an option to check your answer.
- Q.51 markA particle of mass m and charge q moving with a uniform velocity enters a region with a magnetic field . After some time, an electric field is also switched on in the region. The resulting path described by the particle will be :
Tap an option to check your answer.
- Q.61 markAn inductor, a capacitor and a resistor are connected in series across an ac source of voltage. If the frequency of the source is decreased gradually, the reactance of :
Tap an option to check your answer.
- Q.71 markThe electromagnetic radiations used to kill germs in water purifiers are called :
Tap an option to check your answer.
- Q.81 markIn the wave picture of light, the intensity I of light is related to the amplitude A of the wave as :
Tap an option to check your answer.
- Q.91 markIn a single-slit diffraction experiment, the width of the slit is halved. The width of the central maximum, in the diffraction pattern, will become :
Tap an option to check your answer.
- Q.101 markA graph is plotted between the stopping potential (on y-axis) and the frequency of incident radiation (on x-axis) for a metal. The product of the slope of the straight line obtained and the magnitude of charge on an electron is equal to :
Tap an option to check your answer.
- Q.111 markLight of frequency Hz is incident on a metal of work function eV. The maximum kinetic energy of the emitted electrons is about :
Tap an option to check your answer.
- Q.121 markThe ratio of maximum frequency and minimum frequency of light emitted in Balmer series of hydrogen spectrum, in Bohr’s model is :
Tap an option to check your answer.
- Q.131 markAt a certain temperature in an intrinsic semiconductor, the electrons and holes concentration is . When it is doped with a trivalent dopant, hole concentration increases to . In the doped semiconductor, the concentration of electrons will be :
Tap an option to check your answer.
- Q.141 markIf a p-n junction diode is reverse biased,
Tap an option to check your answer.
- Q.151 markA voltage signal is described by : for for for a cycle. Its rms value is :
Tap an option to check your answer.
- Questions number 16 to 18 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.161 markAssertion (A) : The internal resistance of a cell is constant. Reason (R) : Ionic concentration of the electrolyte remains same during use of a cell.
Tap an option to check your answer.
- Q.171 markAssertion (A) : When radius of a circular loop carrying a steady current is doubled, its magnetic moment becomes four times. Reason (R) : The magnetic moment of a circular loop carrying a steady current is proportional to the area of the loop.
Tap an option to check your answer.
- Q.181 markAssertion (A) : The nucleus is more stable than the nucleus . Reason (R) : contains more number of protons.
Tap an option to check your answer.
Section B
2 marks each
- Q.192 marksA wire of length is in the form of a circular loop A of one turn. This loop is reshaped into loop B of three turns. Find the ratio of the magnetic fields at the centres of loop A and loop B for the same current through them.
- Q.202 marksWhat is meant by the term ‘displacement current’ ? Briefly explain how this current is different from a conduction current.
- Q.21 (a)2 marksState Huygens’ principle. How did Huygens explain the absence of the backwave ?
OR
Q.21 (b)2 marksUse Huygens’ principle to show reflection/refraction of a plane wave by (i) concave mirror, and (ii) a convex lens.- Q.222 marksThe refractive indices of two media A and B are 2 and respectively. What is the critical angle for their interface ?
- Q.23 (a)2 marksDraw a graph showing the variation of binding energy per nucleon as a function of mass number A. The binding energy per nucleon for heavy nuclei decreases with the increase in mass number. Explain.
OR
Q.23 (b)2 marksUsing Bohr’s postulates, obtain the expression for radius of stable orbit in a hydrogen atom.- Q.242 marksExplain the roles of diffusion current and drift current in the formation of the depletion layer in a p-n junction diode.
- Q.252 marksExplain the property of a p-n junction which makes it suitable for rectifying alternating voltages. Differentiate between a half-wave and a full-wave rectifier.
Section C
3 marks each
- Q.263 marksA potential difference V is applied across a conductor of length and uniform cross-section area A. How will the (i) electric field E, (ii) drift velocity , and (iii) current density j be affected when (a) V is doubled and (b) is halved (keeping other factors constant) ?
- Q.273 marksWhat is meant by the term ‘mutual inductance’ of a pair of coils ? Obtain an expression for the mutual inductance of two long coaxial solenoids, each of length but having different number of turns and and radii and .
- Q.28 (a)3 marksAn ac source is connected across an ideal capacitor. Derive the expression for the (i) current flowing in the circuit, and (ii) reactance of the capacitor. Plot a graph of current i versus .
OR
Q.28 (b)3 marksA series combination of an inductor L, a capacitor C and a resistor R is connected across an ac source of voltage in a circuit. Obtain an expression for the average power consumed by the circuit. Find power factor for (i) purely inductive circuit, and (ii) purely resistive circuit.- Q.293 marksCalculate the wavelength of de Broglie waves associated with a proton having eV energy. How will the wavelength be affected for an alpha particle having the same energy ?
- Q.30 (a)3 marks(i) Prove that the nuclear density is same for all nuclei. (ii) Draw a plot of potential energy of a pair of nucleons as a function of their separation. Draw two inferences from this plot.
OR
Q.30 (b)3 marks(i) Draw a graph to show the variation of the number of scattered particles detected (N) in Geiger-Marsden experiment as a function of scattering angle . (ii) Discuss briefly two conclusions that can be drawn from this graph and how they lead to the discovery of nucleus in an atom.
Section D
5 marks each
- Q.31 (a)5 marks(i) Define electric flux and write its SI unit. (ii) Use Gauss’ law to obtain the expression for the electric field due to a uniformly charged infinite plane sheet. (iii) A cube of side L is kept in space, as shown in the figure. An electric field exists in the region. Find the net charge enclosed by the cube.
OR
Q.31 (b)5 marks(i) Define electric potential at a point and write its SI unit. (ii) Two capacitors are connected in series. Derive an expression of the equivalent capacitance of the combination. (iii) Two point charges + q and – q are located at points (3a, 0) and (0, 4a) respectively in x-y plane. A third charge Q is kept at the origin. Find the value of Q, in terms of q and a, so that the electrostatic potential energy of the system is zero.- Q.32 (a)5 marks(i) Write the principle and explain the working of a moving coil galvanometer. A galvanometer as such cannot be used to measure the current in a circuit. Why ? (ii) Why is the magnetic field made radial in a moving coil galvanometer ? How is it achieved ?
OR
Q.32 (b)5 marks(i) Derive an expression for magnetic field on the axis of a current carrying circular loop. (ii) Write any two points of difference between a diamagnetic and a paramagnetic substance.- Q.33 (a)5 marks(i) Draw a ray diagram showing the formation of a real image of an object placed at a distance ‘u’ in front of a concave mirror of radius of curvature ‘R’. Hence, obtain the relation for the image distance ‘v’ in terms of u and R. (ii) A m tall person stands in front of a convex lens of focal length 1 m, at a distance of 5 m. Find the position and height of the image formed.
OR
Q.33 (b)5 marks(i) Draw a ray diagram showing refraction of a ray of light through a triangular glass prism. Hence, obtain the relation for the refractive index in terms of angle of prism (A) and angle of minimum deviation . (ii) The radii of curvature of the two surfaces of a concave lens are 20 cm each. Find the refractive index of the material of the lens if its power is D.
Section E
- A beam of electrons moving horizontally with a velocity of m/s enters a region between two plates as shown in the figure. A suitable potential difference is applied across the plates such that the electron beam just strikes the edge of the lower plate.Q.34 (a)1 markHow long does an electron take to strike the edge ?
- Q.34 (b)1 markWhat is the shape of the path followed by the electron and why ?
- Q.34 (c)2 marksFind the potential difference applied.
OR
Q.34 (c)2 marksFind the magnitude and direction of the magnetic field which should be created in the space between the plates so that the electron beam goes straight undeviated.- Diffraction of light is bending of light around the corners of an object whose size is comparable with the wavelength of light. Diffraction actually defines the limits of ray optics. This limit for optical instruments is set by the wavelength of light. An experimental arrangement is set up to observe the diffraction pattern due to a single slit.Q.35 (a)1 markHow will the width of central maximum be affected if the wavelength of light is increased ?
- Q.35 (b)1 markUnder what condition is the first minimum obtained ?
- Q.35 (c)2 marksWrite two points of difference between interference and diffraction patterns.
OR
Q.35 (c)2 marksTwo students are separated by a 7 m partition wall in a room 10 m high. If both light and sound waves can bend around obstacles, how is it that the students are unable to see each other even though they can converse easily ?
Section A
1 mark each
- Q.11 markA voltage signal is described by : for for for a cycle. Its rms value is :
Tap an option to check your answer.
- Q.21 markThe ratio of maximum frequency and minimum frequency of light emitted in Balmer series of hydrogen spectrum, in Bohr’s model is :
Tap an option to check your answer.
- Q.31 markAt a certain temperature in an intrinsic semiconductor, the electrons and holes concentration is . When it is doped with a trivalent dopant, hole concentration increases to . In the doped semiconductor, the concentration of electrons will be :
Tap an option to check your answer.
- Q.41 markAn infinitely long uniformly charged wire produces an electric field of at a distance of cm. The linear charge density on the wire is :
Tap an option to check your answer.
- Q.51 markAt 0 K, the resistivity of an intrinsic semiconductor is :
Tap an option to check your answer.
- Q.61 markLight of frequency Hz is incident on a metal of work function eV. The maximum kinetic energy of the emitted electrons is about :
Tap an option to check your answer.
- Q.71 markIn an experiment on photoelectric effect, the intensity of incident radiation is increased, keeping the frequency the same. The number of photoelectrons emitted will :
Tap an option to check your answer.
- Q.81 markThe SI unit of mobility of charge carriers is :
Tap an option to check your answer.
- Q.91 markAn inductor, a capacitor and a resistor are connected in series across an ac source of voltage. If the frequency of the source is decreased gradually, the reactance of :
Tap an option to check your answer.
- Q.101 markIn a moving coil galvanometer, the deflecting torque acting on the coil is related to the current I flowing through it as :
Tap an option to check your answer.
- Q.111 markIn the wave picture of light, the intensity I of light is related to the amplitude A of the wave as :
Tap an option to check your answer.
- Q.121 markElectromagnetic waves of wavelength of the order of a few meters were first produced and detected in the laboratory by :
Tap an option to check your answer.
- Q.131 markThe emf and internal resistance of a cell are E and r respectively. It is connected across an external resistance R = 2r. The potential drop across the terminals of the cell will be :
Tap an option to check your answer.
- Q.141 markIn a single-slit diffraction experiment, the width of the slit is halved. The width of the central maximum, in the diffraction pattern, will become :
Tap an option to check your answer.
- Q.151 markWhich of the following graphs correctly represents the variation of the magnitude of the magnetic field outside a straight infinite current carrying wire of radius ‘a’, as a function of distance ‘r’ from the centre of the wire ?
Tap an option to check your answer.
- Questions number 16 to 18 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.161 markAssertion (A) : When radius of a circular loop carrying a steady current is doubled, its magnetic moment becomes four times. Reason (R) : The magnetic moment of a circular loop carrying a steady current is proportional to the area of the loop.
Tap an option to check your answer.
- Q.171 markAssertion (A) : The nucleus is more stable than the nucleus . Reason (R) : contains more number of protons.
Tap an option to check your answer.
- Q.181 markAssertion (A) : The internal resistance of a cell is constant. Reason (R) : Ionic concentration of the electrolyte remains same during use of a cell.
Tap an option to check your answer.
Section B
2 marks each
- Q.192 marksHow is the width of depletion layer of a p-n junction diode affected when it is (i) forward biased, and (ii) reverse biased ? Justify your answers.
- Q.202 marksExplain the property of a p-n junction which makes it suitable for rectifying alternating voltages. Differentiate between a half-wave and a full-wave rectifier.
- Q.21 (a)2 marksDraw a graph showing the variation of binding energy per nucleon as a function of mass number A. The binding energy per nucleon for heavy nuclei decreases with the increase in mass number. Explain.
OR
Q.21 (b)2 marksUsing Bohr’s postulates, obtain the expression for radius of stable orbit in a hydrogen atom.- Q.222 marksWhat is meant by the term ‘displacement current’ ? Briefly explain how this current is different from a conduction current.
- Q.232 marksTwo wires of equal lengths are shaped in the form of a square loop and a circular loop. Both loops are suspended in a uniform magnetic field. Prove that for the same current, the circular loop will experience larger torque.
- Q.24 (a)2 marksState Huygens’ principle. How did Huygens explain the absence of the backwave ?
OR
Q.24 (b)2 marksUse Huygens’ principle to show reflection/refraction of a plane wave by (i) concave mirror, and (ii) a convex lens.- Q.252 marksThe refractive indices of two media A and B are 2 and respectively. What is the critical angle for their interface ?
Section C
3 marks each
- Q.263 marks(a) A particle of mass m and charge q is accelerated through a potential difference V. Plot a graph of de Broglie wavelength associated with it as a function of V. (b) Calculate the energy acquired by and de Broglie wavelength associated with, an electron accelerated through a potential difference of 400 V.
- Q.27 (a)3 marksAn ac source is connected across an ideal capacitor. Derive the expression for the (i) current flowing in the circuit, and (ii) reactance of the capacitor. Plot a graph of current i versus .
OR
Q.27 (b)3 marksA series combination of an inductor L, a capacitor C and a resistor R is connected across an ac source of voltage in a circuit. Obtain an expression for the average power consumed by the circuit. Find power factor for (i) purely inductive circuit, and (ii) purely resistive circuit.- Q.28 (a)3 marks(i) Prove that the nuclear density is same for all nuclei. (ii) Draw a plot of potential energy of a pair of nucleons as a function of their separation. Draw two inferences from this plot.
OR
Q.28 (b)3 marks(i) Draw a graph to show the variation of the number of scattered particles detected (N) in Geiger-Marsden experiment as a function of scattering angle . (ii) Discuss briefly two conclusions that can be drawn from this graph and how they lead to the discovery of nucleus in an atom.- Q.293 marksA rectangular loop of sides 25 cm and 20 cm is lying in x-y plane. It is subjected to a magnetic field , where B is in Tesla and t is in seconds. If the resistance of the loop is , find the emf induced and the induced current in the loop at t = 5 s.
- Q.303 marksA potential difference ‘V’ is applied across a load resistor of resistance R. V and R can be varied. If the current that flows in the circuit is I, draw a plot showing the variation of power consumed by the resistor as a function of : (a) R, keeping V constant (b) I, keeping R constant (c) V, keeping R constant
Section D
5 marks each
- Q.31 (a)5 marks(i) Write the principle and explain the working of a moving coil galvanometer. A galvanometer as such cannot be used to measure the current in a circuit. Why ? (ii) Why is the magnetic field made radial in a moving coil galvanometer ? How is it achieved ?
OR
Q.31 (b)5 marks(i) Derive an expression for magnetic field on the axis of a current carrying circular loop. (ii) Write any two points of difference between a diamagnetic and a paramagnetic substance.- Q.32 (a)5 marks(i) Draw a ray diagram showing the formation of a real image of an object placed at a distance ‘u’ in front of a concave mirror of radius of curvature ‘R’. Hence, obtain the relation for the image distance ‘v’ in terms of u and R. (ii) A m tall person stands in front of a convex lens of focal length 1 m, at a distance of 5 m. Find the position and height of the image formed.
OR
Q.32 (b)5 marks(i) Draw a ray diagram showing refraction of a ray of light through a triangular glass prism. Hence, obtain the relation for the refractive index in terms of angle of prism (A) and angle of minimum deviation . (ii) The radii of curvature of the two surfaces of a concave lens are 20 cm each. Find the refractive index of the material of the lens if its power is D.- Q.33 (a)5 marks(i) Define electric flux and write its SI unit. (ii) Use Gauss’ law to obtain the expression for the electric field due to a uniformly charged infinite plane sheet. (iii) A cube of side L is kept in space, as shown in the figure. An electric field exists in the region. Find the net charge enclosed by the cube.
OR
Q.33 (b)5 marks(i) Define electric potential at a point and write its SI unit. (ii) Two capacitors are connected in series. Derive an expression of the equivalent capacitance of the combination. (iii) Two point charges + q and – q are located at points (3a, 0) and (0, 4a) respectively in x-y plane. A third charge Q is kept at the origin. Find the value of Q, in terms of q and a, so that the electrostatic potential energy of the system is zero.
Section E
- Diffraction of light is bending of light around the corners of an object whose size is comparable with the wavelength of light. Diffraction actually defines the limits of ray optics. This limit for optical instruments is set by the wavelength of light. An experimental arrangement is set up to observe the diffraction pattern due to a single slit.Q.34 (a)1 markHow will the width of central maximum be affected if the wavelength of light is increased ?
- Q.34 (b)1 markUnder what condition is the first minimum obtained ?
- Q.34 (c)2 marksWrite two points of difference between interference and diffraction patterns.
OR
Q.34 (c)2 marksTwo students are separated by a 7 m partition wall in a room 10 m high. If both light and sound waves can bend around obstacles, how is it that the students are unable to see each other even though they can converse easily ?- A beam of electrons moving horizontally with a velocity of m/s enters a region between two plates as shown in the figure. A suitable potential difference is applied across the plates such that the electron beam just strikes the edge of the lower plate.Q.35 (a)1 markHow long does an electron take to strike the edge ?
- Q.35 (b)1 markWhat is the shape of the path followed by the electron and why ?
- Q.35 (c)2 marksFind the potential difference applied.
OR
Q.35 (c)2 marksFind the magnitude and direction of the magnetic field which should be created in the space between the plates so that the electron beam goes straight undeviated.
Section A
1 mark each
- Q.11 markA battery of emf E and internal resistance r is connected to an external circuit. The potential drop within the battery is proportional to :
Tap an option to check your answer.
- Q.21 markThe momentum of a photon of wavelength is :
Tap an option to check your answer.
- Q.31 markTwo thin long parallel wires A and B are separated by a distance r and carry current I each in the same direction. The force per unit length exerted by A on wire B is :
Tap an option to check your answer.
- Q.41 markTwo wires of equal length and radii r and 2r are connected in series. Their resistivities are and respectively. For the same current passing through the combination, the potential drop across their ends will be in the ratio of :
Tap an option to check your answer.
- Q.51 markA capacitor is charged by a battery. Between the plates, during process of charging :
Tap an option to check your answer.
- Q.61 markIn the wave picture of light, the intensity I of light is related to the amplitude A of the wave as :
Tap an option to check your answer.
- Q.71 markFor the forward biasing of a p-n junction diode, which of the following statements is not correct ?
Tap an option to check your answer.
- Q.81 markWhich of the following graphs correctly represents the variation of the magnitude of the magnetic field outside a straight infinite current carrying wire of radius ‘a’, as a function of distance ‘r’ from the centre of the wire ?
Tap an option to check your answer.
- Q.91 markLight of frequency Hz is incident on a metal of work function eV. The maximum kinetic energy of the emitted electrons is about :
Tap an option to check your answer.
- Q.101 markA voltage signal is described by : for for for a cycle. Its rms value is :
Tap an option to check your answer.
- Q.111 markAt a certain temperature in an intrinsic semiconductor, the electrons and holes concentration is . When it is doped with a trivalent dopant, hole concentration increases to . In the doped semiconductor, the concentration of electrons will be :
Tap an option to check your answer.
- Q.121 markIn a single-slit diffraction experiment, the width of the slit is halved. The width of the central maximum, in the diffraction pattern, will become :
Tap an option to check your answer.
- Q.131 markThe ratio of maximum frequency and minimum frequency of light emitted in Balmer series of hydrogen spectrum, in Bohr’s model is :
Tap an option to check your answer.
- Q.141 markTwo cells of emf E each and internal resistances r and 2r are connected in parallel as shown in the figure. The equivalent emf of the combination is :
Tap an option to check your answer.
- Q.151 markAn inductor, a capacitor and a resistor are connected in series across an ac source of voltage. If the frequency of the source is decreased gradually, the reactance of :
Tap an option to check your answer.
- Questions number 16 to 18 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.161 markAssertion (A) : The nucleus is more stable than the nucleus . Reason (R) : contains more number of protons.
Tap an option to check your answer.
- Q.171 markAssertion (A) : The internal resistance of a cell is constant. Reason (R) : Ionic concentration of the electrolyte remains same during use of a cell.
Tap an option to check your answer.
- Q.181 markAssertion (A) : When radius of a circular loop carrying a steady current is doubled, its magnetic moment becomes four times. Reason (R) : The magnetic moment of a circular loop carrying a steady current is proportional to the area of the loop.
Tap an option to check your answer.
Section B
2 marks each
- Q.192 marksExplain the property of a p-n junction which makes it suitable for rectifying alternating voltages. Differentiate between a half-wave and a full-wave rectifier.
- Q.20 (a)2 marksDraw a graph showing the variation of binding energy per nucleon as a function of mass number A. The binding energy per nucleon for heavy nuclei decreases with the increase in mass number. Explain.
OR
Q.20 (b)2 marksUsing Bohr’s postulates, obtain the expression for radius of stable orbit in a hydrogen atom.- Q.212 marksWhat is meant by the term ‘displacement current’ ? Briefly explain how this current is different from a conduction current.
- Q.222 marksA wire of length L is bent round in the form of (i) a square, and then (ii) an equilateral triangle. If current I is passed through each of them, find the ratio of magnetic moment of the square loop to that of the triangle.
- Q.23 (a)2 marksState Huygens’ principle. How did Huygens explain the absence of the backwave ?
OR
Q.23 (b)2 marksUse Huygens’ principle to show reflection/refraction of a plane wave by (i) concave mirror, and (ii) a convex lens.- Q.242 marksThe refractive indices of two media A and B are 2 and respectively. What is the critical angle for their interface ?
- Q.252 marksDraw a circuit diagram of a p-n junction diode in (a) forward biasing, and (b) reverse biasing. Draw the V – I characteristics for each case.
Section C
3 marks each
- Q.26 (a)3 marksAn ac source is connected across an ideal capacitor. Derive the expression for the (i) current flowing in the circuit, and (ii) reactance of the capacitor. Plot a graph of current i versus .
OR
Q.26 (b)3 marksA series combination of an inductor L, a capacitor C and a resistor R is connected across an ac source of voltage in a circuit. Obtain an expression for the average power consumed by the circuit. Find power factor for (i) purely inductive circuit, and (ii) purely resistive circuit.- Q.27 (a)3 marks(i) Prove that the nuclear density is same for all nuclei. (ii) Draw a plot of potential energy of a pair of nucleons as a function of their separation. Draw two inferences from this plot.
OR
Q.27 (b)3 marks(i) Draw a graph to show the variation of the number of scattered particles detected (N) in Geiger-Marsden experiment as a function of scattering angle . (ii) Discuss briefly two conclusions that can be drawn from this graph and how they lead to the discovery of nucleus in an atom.- Q.283 marksThe figure shows a rectangular conductor PQRS in which the arm PQ of length 10 cm and resistance is free to move. It is kept in a uniform magnetic field T acting perpendicular into the plane of PQRS. If arm PQ is moved with a velocity v of 5 cm/s as shown, find : (a) the current induced in the loop, and (b) the power required to move the arm. (Resistances of arms PS, SR and RQ are negligible.)
- Q.293 marksObtain a relation between the current flowing in a conductor and drift velocity of electrons in it. Hence, obtain Ohm’s law.
- Q.303 marks(a) The figure shows de Broglie wavelength for two particles A and B having same charges but different masses as a function of , where V is the potential through which the particles are accelerated. (i) Which of them is heavier and why ? (ii) What does the slope of the line represent ? (b) Calculate the momentum of an electron having de Broglie wavelength of Å.
Section D
5 marks each
- Q.31 (a)5 marks(i) Draw a ray diagram showing the formation of a real image of an object placed at a distance ‘u’ in front of a concave mirror of radius of curvature ‘R’. Hence, obtain the relation for the image distance ‘v’ in terms of u and R. (ii) A m tall person stands in front of a convex lens of focal length 1 m, at a distance of 5 m. Find the position and height of the image formed.
OR
Q.31 (b)5 marks(i) Draw a ray diagram showing refraction of a ray of light through a triangular glass prism. Hence, obtain the relation for the refractive index in terms of angle of prism (A) and angle of minimum deviation . (ii) The radii of curvature of the two surfaces of a concave lens are 20 cm each. Find the refractive index of the material of the lens if its power is D.- Q.32 (a)5 marks(i) Define electric flux and write its SI unit. (ii) Use Gauss’ law to obtain the expression for the electric field due to a uniformly charged infinite plane sheet. (iii) A cube of side L is kept in space, as shown in the figure. An electric field exists in the region. Find the net charge enclosed by the cube.
OR
Q.32 (b)5 marks(i) Define electric potential at a point and write its SI unit. (ii) Two capacitors are connected in series. Derive an expression of the equivalent capacitance of the combination. (iii) Two point charges + q and – q are located at points (3a, 0) and (0, 4a) respectively in x-y plane. A third charge Q is kept at the origin. Find the value of Q, in terms of q and a, so that the electrostatic potential energy of the system is zero.- Q.33 (a)5 marks(i) Write the principle and explain the working of a moving coil galvanometer. A galvanometer as such cannot be used to measure the current in a circuit. Why ? (ii) Why is the magnetic field made radial in a moving coil galvanometer ? How is it achieved ?
OR
Q.33 (b)5 marks(i) Derive an expression for magnetic field on the axis of a current carrying circular loop. (ii) Write any two points of difference between a diamagnetic and a paramagnetic substance.
Section E
- A beam of electrons moving horizontally with a velocity of m/s enters a region between two plates as shown in the figure. A suitable potential difference is applied across the plates such that the electron beam just strikes the edge of the lower plate.Q.34 (a)1 markHow long does an electron take to strike the edge ?
- Q.34 (b)1 markWhat is the shape of the path followed by the electron and why ?
- Q.34 (c)2 marksFind the potential difference applied.
OR
Q.34 (c)2 marksFind the magnitude and direction of the magnetic field which should be created in the space between the plates so that the electron beam goes straight undeviated.- Diffraction of light is bending of light around the corners of an object whose size is comparable with the wavelength of light. Diffraction actually defines the limits of ray optics. This limit for optical instruments is set by the wavelength of light. An experimental arrangement is set up to observe the diffraction pattern due to a single slit.Q.35 (a)1 markHow will the width of central maximum be affected if the wavelength of light is increased ?
- Q.35 (b)1 markUnder what condition is the first minimum obtained ?
- Q.35 (c)2 marksWrite two points of difference between interference and diffraction patterns.
OR
Q.35 (c)2 marksTwo students are separated by a 7 m partition wall in a room 10 m high. If both light and sound waves can bend around obstacles, how is it that the students are unable to see each other even though they can converse easily ?