Bihar Board Class 12 Physics 2025 Question Paper (Available): Download Bihar Board Class 12 Question Paper with Solution PDF

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Shivam Yadav

Updated on - Nov 24, 2025

Bihar Board Class 12 Physics Question Paper PDF with Solutions is available for download. The Bihar School Examination Board (BSEB) conducted the Class 12 examination for a total duration of 3 hours 15 minutes, and the Bihar Board Class 12 Physics question paper was of a total of 100 marks.

Bihar Board Class 12 Physics 2025 Question Paper with Solutions Set D

Bihar Board Class 12 Physics 2025 Question Paper with Answer Key Set D Download PDF Check Solutions

Question 1:

Two equal positive point charges of \(1~\mu C\) charge are kept at a distance of \(1~metre\) in air. The electric potential energy of the system will be

  • (1) \(1~joule\)
  • (2) \(1~eV\)
  • (3) \(9 \times 10^{-3}~joule\)
  • (4) zero

Question 2:

Which one of the following is unit of capacity?

  • (1) coulomb
  • (2) ampere
  • (3) volt
  • (4) coulomb/volt

Question 3:

The capacity of any condenser does not depend upon

  • (1) shape of plates
  • (2) size of plates
  • (3) charge on plates
  • (4) distance between plates

Question 4:

The electric field on the outer surface of a charged conductor is

  • (1) parallel to the surface
  • (2) perpendicular to the surface
  • (3) at \(45^\circ\) angle to the surface
  • (4) zero

Question 5:

If a conductor is placed in an external electric field, the field inside the conductor will be

  • (1) zero
  • (2) equal to the external field
  • (3) twice the external field
  • (4) half the external field

Question 6:

Which of the following statements is true for two point charges of opposite sign?

  • (1) The potential energy is always negative
  • (2) The potential energy is always positive
  • (3) The potential energy can be either positive or negative
  • (4) The potential energy is zero

Question 7:

Gauss’s law states that the electric flux through a closed surface is

  • (1) proportional to the charge enclosed
  • (2) inversely proportional to the charge enclosed
  • (3) zero
  • (4) proportional to the square of the charge enclosed

Question 8:

Kilowatt-hour (kWh) is the unit of

  • (1) energy
  • (2) power
  • (3) torque
  • (4) force

Question 9:

Which of the following laws is based on the principle of energy conservation?

  • (1) Ampere’s law
  • (2) Faraday’s law of electrolysis
  • (3) Lenz’s law
  • (4) None of these

Question 10:

When an ammeter is shunted then its measurement limit

  • (1) increases
  • (2) decreases
  • (3) remains unchanged
  • (4) none of these

Question 11:

Dimensional formula of permeability is

  • (1) \([MLT^{-2}A^{-2}]\)
  • (2) \([MLT^{2}A^{-2}]\)
  • (3) \([MLT^{2}A^{2}]\)
  • (4) \([MLT^{-2}A]\)

Question 12:

Unit of \(\sqrt{\dfrac{\mu_0}{\varepsilon_0}}\) is

  • (1) \(\dfrac{newton}{coulomb}\)
  • (2) ohm
  • (3) henry
  • (4) farad

Question 13:

If the number of turns is increased in any moving coil galvanometer, then its sensitivity

  • (1) increases
  • (2) decreases
  • (3) remains unchanged
  • (4) may increase or may decrease

Question 14:

At neutral points

  • (1) \(B > B_H\)
  • (2) \(B < B_H\)
  • (3) \(B = B_H\)
  • (4) \(B = 0\)

Question 15:

The peak value of an alternating current is \(10~A\). Its root mean square value will be

  • (1) \(5~A\)
  • (2) \(7.07~A\)
  • (3) \(10~A\)
  • (4) \(14.14~A\)

Question 16:

In a purely inductive circuit, the power factor is

  • (1) 0
  • (2) 1
  • (3) 0.5
  • (4) infinity

Question 17:

In an a.c. circuit containing only capacitor, the phase difference between current and voltage is

  • (1) \(0^\circ\)
  • (2) \(90^\circ\)
  • (3) \(180^\circ\)
  • (4) \(45^\circ\)

Question 18:

In resonance condition, the frequency of \(L-C\) circuit is

  • (1) \(\dfrac{1}{2\pi}\sqrt{\dfrac{1}{LC}}\)
  • (2) \(2\pi\sqrt{\dfrac{1}{LC}}\)
  • (3) \(2\pi\sqrt{LC}\)
  • (4) \(\dfrac{1}{2\pi}\sqrt{LC}\)

Question 19:

In a step-up transformer, the value of current in secondary compared to the primary coil is

  • (1) equal
  • (2) less
  • (3) more
  • (4) no relation between the two

Question 20:

Image formed by convex mirror is always

  • (1) in between centre of curvature and focus
  • (2) in between centre of curvature and infinity
  • (3) in between pole and focus
  • (4) none of these

Question 21:

If the critical angle for total internal reflection from any medium to vacuum is 30°, then the velocity of light in the medium is

  • (A) \(3 \times 10^8\ m/s\)
  • (B) \(1.5 \times 10^8\ m/s\)
  • (C) \(6 \times 10^8\ m/s\)
  • (D) \(4.5 \times 10^8\ m/s\)

Question 22:

The distance between two charges is made half and one of the charges is also halved. The force acting between the two will become as compared to previous value

  • (A) half
  • (B) double
  • (C) thrice
  • (D) none of these

Question 23:

The speed of an electron accelerated from rest under a potential difference \(V\) is

  • (A) proportional to \(V\)
  • (B) proportional to \(\sqrt{V}\)
  • (C) proportional to \(\frac{1}{V}\)
  • (D) proportional to \(V^2\)

Question 24:

The specific charge of electron is

  • (A) \(1.8 \times 10^{11}\ C/kg\)
  • (B) \(1.67 \times 10^{-19}\ C/kg\)
  • (C) \(1.8 \times 10^{-19}\ C/kg\)
  • (D) \(6.67 \times 10^{11}\ C/kg\)

Question 25:

In parallel combination of condensers, which quantity remains same for each condenser?

  • (A) Charge
  • (B) Energy
  • (C) Potential difference
  • (D) Capacity

Question 26:

On inserting a dielectric material between two positive charges in air, the value of repulsive force will

  • (A) increase
  • (B) decrease
  • (C) remain same
  • (D) become zero

Question 27:

The distance between two equal and opposite charges of 0.2 C is 3.0 cm. Their electric dipole moment will be

  • (A) \(6.0\ coulomb-metre\)
  • (B) \(6.0 \times 10^{-8}\ coulomb-metre\)
  • (C) \(12.0\ coulomb-metre\)
  • (D) \(12.0 \times 10^{-8}\ coulomb-metre\)

Question 28:

Inside a closed surface, \(n\) electric dipoles are situated. The electric flux coming out from the closed surface will be

  • (A) \(\frac{q}{\varepsilon_0}\)
  • (B) \(\frac{2q}{\varepsilon_0}\)
  • (C) \(\frac{nq}{\varepsilon_0}\)
  • (D) zero

Question 29:

Two light waves of equal amplitude and equal wavelengths are superimposed. The amplitude of the resultant wave will be maximum when the phase difference between them is

  • (A) zero
  • (B) \(\frac{\pi}{4}\)
  • (C) \(\frac{\pi}{2}\)
  • (D) \(\pi\)

Question 30:

In polarised light, the angle between plane of vibration and plane of polarization is

  • (A) \(0^\circ\)
  • (B) \(45^\circ\)
  • (C) \(90^\circ\)
  • (D) \(180^\circ\)

Question 31:

Which of the following is not an electromagnetic wave?

  • (1) Alpha rays
  • (2) Gamma rays
  • (3) Infrared rays
  • (4) X-rays

Question 32:

The speed of electromagnetic wave in any material medium does not depend

  • (1) Upon its wavelength
  • (2) Upon its frequency
  • (3) Upon its intensity
  • (4) Upon its permittivity

Question 33:

In the phenomenon of photoelectric emission, on increasing the intensity of incident light, the photoelectric current

  • (1) increases
  • (2) decreases
  • (3) remains unchanged
  • (4) first increases then remains constant

Question 34:

The wavelength of de Broglie wave associated with any moving particle does not depend on

  • (1) mass
  • (2) charge
  • (3) velocity
  • (4) momentum

Question 35:

The formula of kinetic mass of photon is

  • (1) \(\dfrac{hv}{c}\)
  • (2) \(\dfrac{hv}{c^2}\)
  • (3) \(\dfrac{hc}{v}\)
  • (4) \(\dfrac{c^2}{hv}\)

Question 36:

If two converging lenses of equal focal length \(f\) are kept in contact, then the focal length of the combination will be

  • (1) \(f\)
  • (2) \(2f\)
  • (3) \(\dfrac{f}{2}\)
  • (4) \(3f\)

Question 37:

Power of a convex lens is 2 dioptre. Its focal length will be

  • (1) 20 cm
  • (2) 50 cm
  • (3) 40 cm
  • (4) 60 cm

Question 38:

Which of the following is used to reduce chromatic aberration in lenses?

  • (1) Convex lens
  • (2) Concave lens
  • (3) Achromatic combination
  • (4) Cylindrical lens

Question 39:

A convex lens is dipped in a liquid, whose refractive index is equal to the refractive index of the material of the lens. Then its focal length will

  • (1) become zero
  • (2) become infinity
  • (3) reduce
  • (4) increase

Question 40:

The bubble of soap appears coloured due to

  • (1) diffraction
  • (2) polarization
  • (3) interference
  • (4) reflection

Question 41:

Which of the following cannot be polarized?

  • (1) Sound waves
  • (2) Light waves
  • (3) Radio waves
  • (4) X-rays

Question 42:

A person uses spectacles (lens) of +2D power. His defect of vision is

  • (1) Myopia
  • (2) Hypermetropia
  • (3) Presbyopia
  • (4) Astigmatism

Question 43:

When boron is mixed as impurity in silicon, the resultant matter is

  • (1) n-type semiconductor
  • (2) p-type semiconductor
  • (3) n-type conductor
  • (4) p-type conductor

Question 44:

In n-type semiconductor the minority charge carrier is/are

  • (1) Electrons
  • (2) Holes
  • (3) Electron and hole
  • (4) None of these

Question 45:

Which logic gate's output is true only if the inputs are different?

  • (1) OR gate
  • (2) AND gate
  • (3) NOT gate
  • (4) XOR gate

Question 46:

Reverse biased diode is

  • (1) Zener diode
  • (2) LED
  • (3) Photodiode
  • (4) Both (1) and (3)

Question 47:

Boolean expression of NAND gate is

  • (1) \(\overline{A.B} = Y\)
  • (2) \(\overline{A + B} = Y\)
  • (3) \(A.B = Y\)
  • (4) \(A + B = Y\)

Question 48:

What type of wave is used in fibre optic communication?

  • (1) Sound waves
  • (2) Electromagnetic waves
  • (3) Seismic waves
  • (4) Mechanical waves

Question 49:

Which one of the following frequency ranges is used for TV transmission?

  • (1) 30 - 300 Hz
  • (2) 30 - 300 kHz
  • (3) 30 - 300 MHz
  • (4) 30 - 300 GHz

Question 50:

What is the main difference between isotopes of the same element?

  • (1) Number of protons
  • (2) Number of neutrons
  • (3) Number of electrons
  • (4) Atomic number

Question 51:

Which one of the following is not a type of radioactive decay?

  • (1) Alpha decay
  • (2) Beta decay
  • (3) Gamma decay
  • (4) Muon decay

Question 52:

What is the energy of a photon with a wavelength of 500 nm? (Use \( c = 3 \times 10^8 \, m/s \) and \( h = 6.626 \times 10^{-34} \, Js \))

  • (1) \( 4 \times 10^{-19} \, J \)
  • (2) \( 2.5 \times 10^{-19} \, J \)
  • (3) \( 1.2 \times 10^{-18} \, J \)
  • (4) \( 6.6 \times 10^{-19} \, J \)

Question 53:

Which series of hydrogen spectrum lies in visible portion?

  • (1) Lyman series
  • (2) Balmer series
  • (3) Paschen series
  • (4) Brackett series

Question 54:

Which of the following is a chargeless particle?

  • (1) \( \alpha \)-particle
  • (2) \( \beta \)-particle
  • (3) Proton
  • (4) Photon

Question 55:

X-rays are

  • (1) moving electron
  • (2) moving positive ions
  • (3) moving negative ion
  • (4) electromagnetic waves

Question 56:

Equivalent energy of 1 amu is

  • (1) 190 MeV
  • (2) 139 MeV
  • (3) 913 MeV
  • (4) 931 MeV

Question 57:

A capacitor of \( 100 \, \mu F \) is charged to 100 volt. The energy stored in it will be

  • (1) 0.5 joule
  • (2) 5 joule
  • (3) 50 joule
  • (4) 100 joule

Question 58:

Which of the following has unit volt-metre\(^{-1}\)?

  • (1) Electric flux
  • (2) Electric potential
  • (3) Electric field
  • (4) Electric capacity

Question 59:

The relation between drift velocity \(v\) of free electrons in conductor in electric conduction and potential difference \(V\) between ends of conductor is

  • (1) proportional to \(V\)
  • (2) inversely proportional to \(V\)
  • (3) proportional to \(V^2\)
  • (4) inversely proportional to \(V^2\)

Question 60:

The graph between voltage \(V\) of a conductor and current \(I\) is a straight line which makes an angle \(\theta\) with y-axis (which represents \(I\)). The resistance of the conductor will be

  • (1) \(\tan \theta\)
  • (2) \(\cot \theta\)
  • (3) \(\sin \theta\)
  • (4) \(\cos \theta\)

Question 61:

Power of electric circuit is

  • (1) \(V \cdot R\)
  • (2) \(V^2 \cdot R\)
  • (3) \(\frac{V^2}{R}\)
  • (4) \(V^2 \cdot R \cdot I\)

Question 62:

With the rise in temperature, the resistance of semiconductor

  • (1) increases
  • (2) decreases
  • (3) sometimes increases and sometimes decreases
  • (4) remains unchanged

Question 63:

Which of the following represents resistance, \( R \)? (\( \rho \) = resistivity, \( l \) = length of a material, \( A \) = cross-sectional area)

  • (1) \( \rho \left( \frac{l}{A} \right) \)
  • (2) \( \rho \left( \frac{A}{l} \right) \)
  • (3) \( \frac{1}{\rho A} \)
  • (4) \( \frac{lA}{\rho} \)

Question 64:

The relative permeability (\( \mu_r \)) of ferromagnetic substance is

  • (1) \( \mu_r < 1 \)
  • (2) \( \mu_r = 1 \)
  • (3) \( \mu_r > 1 \)
  • (4) \( \mu_r \gg 1 \)

Question 65:

In a series circuit with resistors \( R_1, R_2, \) and \( R_3 \), the current flowing through each resistor is

  • (1) same
  • (2) different
  • (3) zero
  • (4) divided proportionally to the value of resistance

Question 66:

The unit of current density is

  • (1) ampere (A)
  • (2) coulomb (C)
  • (3) ampere per square metre (A/m\(^2\))
  • (4) volt per metre (V/m)

Question 67:

If the length of a conductor is doubled while keeping the potential difference across it constant, then the drift velocity of electrons will

  • (1) remain the same
  • (2) be double
  • (3) be halved
  • (4) increase fourfold

Question 68:

The direction of magnetic field inside a current-carrying solenoid is

  • (1) circular
  • (2) parallel to axis
  • (3) perpendicular to the axis
  • (4) random

Question 69:

Which of the following devices is based on the principle of electromagnetic induction?

  • (1) Voltmeter
  • (2) Electric motor
  • (3) Electric generator
  • (4) Ammeter

Question 70:

The self-inductance of a solenoid depends on

  • (1) The current flowing through its medium
  • (2) The number of turns per unit length
  • (3) The length of the solenoid
  • (4) Both (2) and (3)

Question 71:

What do you mean by power of accommodation of eye?


Question 72:

Explain electrical resonance.


Question 73:

The applied voltage in an alternating circuit is \(220\ V\). If \(R = 8\ \Omega\) and \(X_L = X_C = 6\ \Omega\), then find the root mean square value of voltage and the impedance of the circuit.


Question 74:

How does the refractive index of any medium depend upon the wavelength of light?


Question 75:

What is Curie temperature?


Question 76:

Write two properties of paramagnetic substance.


Question 77:

Convert decimal numbers 21 and 43 into their equivalent binary numbers.


Question 78:

Write down the difference between nuclear fission and nuclear fusion.


Question 79:

Write the necessary conditions for total internal reflection of light.


Question 80:

Write Fleming's left hand rule.


Question 81:

Write down two basic differences between interference and diffraction.


Question 82:

Compare the magnetic properties of steel and soft iron.


Question 83:

Mention the two characteristic properties of the material suitable for making core of a transformer.


Question 84:

A proton and an electron have the same kinetic energy. Which one has the greater de Broglie wavelength and why?


Question 85:

Define volume density of charge. Write its SI unit.


Question 86:

Explain magnetic moment. Write its SI unit.


Question 87:

Write two properties of beta (\(\beta\)) rays.


Question 88:

Explain Bohr’s stable orbit.


Question 89:

An electric dipole is held in a uniform electric field. The dipole is aligned parallel to the electric field. Find the work done in rotating it through an angle of \(180^\circ\).


Question 90:

Mention two different modes of propagation used in communication system.


Question 91:

State and prove Gauss’s theorem in electrostatics. Calculate the electric field intensity at a point outside a hollow uniformly charged sphere.


Question 92:

State Kirchhoff’s laws and use them to obtain the condition for balance of a Wheatstone bridge.


Question 93:

Define wavefront and secondary wavelets. Verify the law of reflection on the basis of Huygens’ wave theory.

  • (A) Consider a wavefront incident on a plane mirror at an angle \(\theta_i\).
  • (B) Each point on the incident wavefront acts as a source of secondary wavelets. The wavefront can be thought of as the envelope of all these wavelets.
  • (C) After reflection, the secondary wavelets at the surface of the mirror generate a reflected wavefront.
  • (D) According to Huygens' principle, the direction of the reflected wavefront will be such that the angle of incidence \(\theta_i\) is equal to the angle of reflection \(\theta_r\). The angle between the normal to the mirror and the incident wavefront is \(\theta_i\), and the angle between the normal and the reflected wavefront is \(\theta_r\).

Question 94:

What is equivalent lens? Derive an expression for equivalent focal length of two lenses of focal lengths \(f_1\) and \(f_2\) kept at a distance \(d\).


Question 95:

Define self-inductance and mutual inductance. Find an expression for mutual inductance of two coaxial solenoids.


Question 96:

What is photoelectric effect? What are the laws of photoelectric effect? Explain this law given by Einstein.

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