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CBSE Class 12 Physics 2026 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

  1. Q.11 mark
    Three point charges 2q, −2q-2q and q are kept at the vertices of an equilateral triangle of side ll. The potential energy of the system is

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  2. Q.21 mark
    Two metal spheres of radii r1r_1 and r2r_2 (>r1)(> r_1) having charges q1q_1 and q2q_2 respectively kept in air, are brought in contact. Which of the following statements is not correct ?

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  3. Q.31 mark
    The maximum kinetic energy of the electrons emitted from a photo sensitive surface depends on

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  4. Q.41 mark
    In Bohr model of hydrogen atom, for large values of n, the distance between the consecutive orbits is proportional to

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  5. Q.51 mark
    A straight long wire lying along y-axis, carries a current of 1 A along −y-y direction. The magnetic field due to the conductor at a point (50 cm, 0, 0) will point along.

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  6. Q.61 mark
    Which of the following materials has positive and small value of magnetic susceptibility ?

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  7. Q.71 mark
    A galvanometer of resistance 27 Ω\Omega is converted into an ammeter of range (0 – 10 mA) using a resistance of 3 Ω\Omega. The galvanometer will show full scale deflection for a current of about –

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  8. Q.81 mark
    The magnetic flux ϕ\phi (in Wb) linked with a coil is related to time t (in s) as ϕ=5 At2+Bt−2C\phi = 5\,\mathrm{At}^2 + \mathrm{Bt} - 2\mathrm{C} The SI units of A and B are respectively

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  9. Q.91 mark
    The figure shows the variation of capacitive reactance (XC)(\mathrm{X_C}) of two ideal capacitors of capacitances C1\mathrm{C_1} & C2\mathrm{C_2} with the reciprocal of angular frequency (1/ω)(1/\omega) of ac source. The value of C1/C2\mathrm{C_1/C_2} is

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  10. Q.101 mark
    A magnet held vertically, with its north pole down is dropped along the axis of a closed solenoid placed vertically on a table. If the observer looks down from the top,

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  11. Q.111 mark
    An electromagnetic wave is propagating along x-axis. At any instant, the phase difference (in radian) between the electric field (E⃗)(\vec{\mathrm{E}}) and the magnetic field (B⃗)(\vec{\mathrm{B}}) associated with the wave is

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  12. Q.121 mark
    In Bohr model of hydrogen atom, the electron makes a transition from n = 5 to n = 1 state. As a result, a photon of wavelength λ\lambda is emitted in the process. The wavelength of the photon emitted when an electron makes a transition from energy level n = 5 to n = 2 will be

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  13. For question numbers 13 to 16, two statements are given – one labelled as Assertion (A) and the other labelled as Reason (R). Select the correct answer from the codes (A), (B), (C) and (D) as given below :
    Q.131 mark
    Assertion (A) : On increasing the intensity of incident light of frequency ν(>ν0)\nu(> \nu_0) on a photosensitive surface, the photocurrent increases. Reason (R) : The stopping potential for a photosensitive surface increases with increase of frequency ν(>ν0)\nu(> \nu_0) of incident light.

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  14. Q.141 mark
    Assertion (A) : On forward biasing a p-n junction diode, the height of the barrier potential increases. Reason (R) : In forward biasing of a p-n junction diode, the direction of the applied voltage is in the same direction as the built-in potential.

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  15. Q.151 mark
    Assertion (A) : Light added to light can produce darkness. Reason (R) : When two coherent light waves interfere, there is darkness at position of destructive interference.

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  16. Q.161 mark
    Assertion (A) : Two electric heaters of power P1\mathrm{P_1} and P2\mathrm{P_2} (>P1)(> \mathrm{P_1}) are joined in series across a dc source of voltage V. The power consumed by the combination will be less than that consumed by P1\mathrm{P_1} when connected across the same source. Reason (R) : The power consumed by a electric device when connected to a dc source of voltage V is proportional to its resistance.

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Section B

2 marks each

  1. Q.172 marks
    Write two points of difference between intrinsic and extrinsic semiconductors.
  2. Q.182 marks
    Find ratio (λa/λp)(\lambda_a/\lambda_p) of the de Broglie wavelength λa\lambda_a and λp\lambda_p associated respectively with an alpha particle and a proton, (i) if they are moving with the same kinetic energy. (ii) just after they are accelerated through the same potential difference.
  3. Q.192 marks
    A ray of light in air is incident at angle ∠i\angle i on a face of an equilateral glass prism and is refracted through the prism. As ∠i\angle i is varied, it is observed that the ray undergoes minimum deviation, when the ∠i\angle i is three-fourth of the angle of the prism. Calculate the speed of light in the prism.
  4. Q.202 marks
    A heating element using nichrome is connected to a 220 V supply. Initially it draws a current of 2.9 A. After some time, the current attains a steady value of 2.5 A. Find the steady temperature of the heating element if the room temperature is 27 ∘^\circC. The temperature coefficient of resistance of nichrome is 1.7×10−41.7 \times 10^{-4} ∘^\circC−1^{-1}.
  5. Q.21 (a)2 marks
    A 5 cm long pencil is placed along the principal axis of a concave mirror of focal length 20 cm such that its nearest end is at a distance of 25 cm from the mirror. Calculate the length of the image of the pencil.
  6. OR

    Q.21 (b)2 marks
    In a Young's double-slit experiment, a beam of light consisting of two wavelengths 500 nm and 600 nm is used. The interference fringes are observed at a screen placed 1.8 m away from the plane of slits (slit separation 0.3 mm). Calculate the least distance from the central maximum where the bright fringes due to both the wavelengths coincide.

Section C

3 marks each

  1. Q.223 marks
    (a) Consider the following nuclides : 612C^{12}_{6}\mathrm{C}, 80198Hg^{198}_{80}\mathrm{Hg}, 614C^{14}_{6}\mathrm{C}, 79197Au^{197}_{79}\mathrm{Au} Group them into isotopes and isotones. (b) How does the size of a nucleus depend on its mass number A ? Hence prove that the density of nucleus is a constant, independent of A, for all nuclei.
  2. Q.233 marks
    (a) An electric field E⃗=E0i^\vec{\mathrm{E}} = \mathrm{E_0}\hat{i} exists in a region of space. Draw three equipotential surfaces in the region. (b) Two point charges −q-q and +q+q are located at points (−a,0,0)(-a, 0, 0) and (a,0,0)(a, 0, 0) respectively. Find the electrostatic potential at point (x,0,0)(x, 0, 0) where x≫ax \gg a.
  3. Q.243 marks
    Name the electromagnetic waves which are used for (i) detection of fractures in bones (ii) physiotherapy (iii) radar systems Also write their wavelength range.
  4. Q.25 (a)3 marks
    (i) Define mutual inductance of a pair of coils. Write its SI unit. (ii) A long solenoid of radius R and length L has n turns per unit length. A circular loop of radius r(<R) is placed inside at the centre of the solenoid such that its axis coincides with the axis of the solenoid. Obtain the mutual inductance of the solenoid and the loop.
  5. OR

    Q.25 (b)3 marks
    Two long straight parallel conductors A and B carrying steady currents Ia\mathrm{I_a} and Ib\mathrm{I_b} in the same direction are separated by a distance d. Deduce the expressions for the force acting on length L of conductor B due to conductor A and show it in figure. Write the expression for the force acting on length L of conductor A due to conductor B and show that it follows Newton's third law.
  6. Q.263 marks
    (a) State Bohr's second postulate and mention its significance. (b) Prove that, in Bohr model of hydrogen atom as principal quantum number n becomes large, the energy levels get closer and closer.
  7. Q.273 marks
    (a) Explain the statement : "Current is a scalar although we represent current with an arrow". (b) Use Kirchhoff's rules to find the current through 3 Ω\Omega resistor in the circuit shown in the figure :
  8. Q.283 marks
    Derive an expression for the magnetic field B⃗\vec{\mathrm{B}}, due to a circular coil of N turns, each of radius r carrying current I, at a distance 'xx' from the centre along its axis.

Section D

1 mark each

  1. A p-type or n-type semiconductor can be converted into a p-n junction by doping it with suitable impurity. The motion of majority charge carriers causes diffusion current across the junction while the barrier electric field causes motion of minority carriers for drift current. In case of unbiased diode, the diffusion and drift currents are equal. This equilibrium is disturbed by the biasing batteries. Diodes, therefore, allow currents in one direction. This property of diode is used in making rectifiers.
    Q.29 (i)1 mark
    Silicon is doped with which of the following to obtain p-type semiconductor ?

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  2. Q.29 (ii)1 mark
    A semiconductor has an electron concentration of 5×10225 \times 10^{22} m−3\mathrm{m^{-3}}. The concentration of holes is (given ni=1.5×1016\mathrm{n_i} = 1.5 \times 10^{16} m−3\mathrm{m^{-3}})

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  3. Q.29 (iii)1 mark
    During forward biasing of a p-n junction diode, the

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  4. Q.29 (iv) (a)1 mark
    The threshold voltage for silicon diode is about

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  5. OR

    Q.29 (iv) (b)1 mark
    When we dope Ge with a pentavalent element, four of its electrons bond with four germanium neighbours but fifth electron remains weakly bound. The ionisation energy for this electron is about

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  6. In an experiment with convex lens of focal length f, the screen is fixed at a distance D from the object. A student slowly moves the lens away from the object towards the screen and finds that she is able to form sharp image of the object for two positions of the lens. The distance between these two positions of the lens is d.
    Q.30 (i)1 mark
    The value of d is

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  7. Q.30 (ii)1 mark
    Compared to the size of the object, the images formed in the two positions of the lens are respectively

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  8. Q.30 (iii)1 mark
    If the distance between object and screen is 80.00 cm and the lens forms sharp images at two positions separated by 20.00 cm., the focal length of convex lens is

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  9. Q.30 (iv) (a)1 mark
    Consider a convex lens of focal length 15 cms. For which of the following values of object-screen distance, two positions of the object can be found to obtain sharp image on the screen ?

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  10. OR

    Q.30 (iv) (b)1 mark
    A thin convex lens of focal length 10 cm and another thin lens of focal length 'f' are placed coaxially in contact. If the power of their combination is 103\frac{10}{3} D, the value of 'f' is

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Section E

5 marks each

  1. Q.31 (a)5 marks
    (a) What are coherent sources ? Why they are necessary for observing stable interference pattern ? Draw a graph showing the variation of intensity of light with the position on the screen in Young's double-slit experiment. (b) Find the intensity of light at a point on the screen when two interfering waves of the same intensity (I0)(\mathrm{I_0}) have a path difference of (i) λ4\frac{\lambda}{4} and (ii) λ3\frac{\lambda}{3}.
  2. OR

    Q.31 (b)5 marks
    (a) Draw a labelled ray diagram of a refracting telescope when it forms image of a distant object at infinity. Derive expression for its magnifying power. (b) (i) In a telescope the objective has much larger aperture than the eye piece. Why ? (ii) Write two advantages of reflecting telescope over refracting telescope.
  3. Q.32 (a)5 marks
    (a) Derive an expression for the capacitance of a parallel plate capacitor of plate area A and plate separation d with air present between the plates. (b) Two air-filled capacitors of capacitances C1\mathrm{C_1} and C2\mathrm{C_2} are connected in parallel with a dc battery. After the capacitors are fully charged, a slab of dielectric constant K is inserted between the plates of each capacitor. How will the (i) charge on each capacitor and (ii) energy stored in the capacitor affected after the slab is introduced.
  4. OR

    Q.32 (b)5 marks
    (a) An electric field E⃗\vec{\mathrm{E}} is established across the ends of a cylindrical conductor of length L and area of cross-section A. Discuss how electrons attain an average velocity, independent of time. Hence, obtain a relation between current in the conductor and this 'average velocity' of electrons. (b) (i) This 'average velocity' is found be few mm/s for currents in range of a few amperes. How then is current established almost the instant a circuit is closed ? (ii) Two copper wires having their radii in the ratio of 3 : 2 are connected in series across a battery. Find the ratio of the drift velocities of the electrons in the wires.
  5. Q.33 (a)5 marks
    (a) A series combination of L, C and R is connected to an a.c. source. Using a phasor diagram, derive an expression for the impedance of the circuit and phase difference between V and I. (b) Under what conditions the (i) impedance of the circuit is minimum ? (ii) Wattless current flows in the circuit ?
  6. OR

    Q.33 (b)5 marks
    (i) With the help of a labelled diagram, explain the principle, construction and working of an a.c. generator. (ii) Deduce an expression for the induced emf in the coil of the generator. (iii) If T is the time period of the rotation of the coil, at what values of T in a cycle, the emf generator is maximum ?