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NCERT Physics Exemplar Problems Class 12th

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  • Q1
    State Gauss’s theorem in electrostatics.
    A1

    Gauss’s theorem states that total electric flux through a closed surface equals 1/ε₀ times net charge enclosed. It helps compute fields for symmetric charge distribution

  • Q2
    Define drift velocity and mobility of electrons in a conductor.
    A2

    Drift velocity is average velocity of electrons under electric field. Mobility is drift velocity per unit electric field. Both explain Ohm’s law microscopically.

  • Q3
    Write Biot-Savart law for magnetic field due to a current element.
    A3

    dB = (μ₀/4π) Idl sinθ / r². Direction given by right-hand rule. Used for circular loop and straight conductor magnetic field calculation.

  • Q4
    What is Lenz’s law in electromagnetic induction?
    A4

    Lenz’s law states induced current opposes change in magnetic flux causing it. It follows conservation of energy and determines direction of induced EMF.

  • Q5
    State conditions for total internal reflection in optical fibers.
    A5

    Light must travel from denser to rarer medium with angle of incidence greater than critical angle. Critical angle = sin⁻¹(n₂/n₁). Used in fiber optics.

  • Q6
    Write the expression for fringe width in Young’s double-slit experiment.
    A6

    Fringe width β = λD/d, where λ is wavelength, D is slit-to-screen distance, d is slit separation. Fringes are equally spaced for monochromatic light.

  • Q7
    State Einstein’s photoelectric equation and explain stopping potential.
    A7

    hν = φ₀ + K_max. Stopping potential V₀ = (hν - φ₀)/e. It is the retarding potential that stops most energetic photoelectrons.

  • Q8
    State postulates of Bohr’s model for hydrogen atom.
    A8

    Electrons revolve in fixed orbits without radiating energy. Angular momentum = nh/2π. Energy emitted when electron jumps from higher to lower orbit.

  • Q9
    Distinguish between intrinsic and extrinsic semiconductors.
    A9

    Intrinsic: pure semiconductor with equal electrons and holes. Extrinsic: doped with impurities (n-type with pentavalent; p-type with trivalent atoms).

  • Q10
    How is a moving coil galvanometer converted into an ammeter?
    A10

    Connect a low resistance shunt in parallel with galvanometer. Shunt diverts most current, allowing measurement of higher currents without damaging the coil.

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  • Q1
    State Gauss’s theorem in electrostatics.
    A1

    Gauss’s theorem states that total electric flux through a closed surface equals 1/ε₀ times net charge enclosed. It helps compute fields for symmetric charge distribution

  • Q2
    Define drift velocity and mobility of electrons in a conductor.
    A2

    Drift velocity is average velocity of electrons under electric field. Mobility is drift velocity per unit electric field. Both explain Ohm’s law microscopically.

  • Q3
    Write Biot-Savart law for magnetic field due to a current element.
    A3

    dB = (μ₀/4π) Idl sinθ / r². Direction given by right-hand rule. Used for circular loop and straight conductor magnetic field calculation.

  • Q4
    What is Lenz’s law in electromagnetic induction?
    A4

    Lenz’s law states induced current opposes change in magnetic flux causing it. It follows conservation of energy and determines direction of induced EMF.

  • Q5
    State conditions for total internal reflection in optical fibers.
    A5

    Light must travel from denser to rarer medium with angle of incidence greater than critical angle. Critical angle = sin⁻¹(n₂/n₁). Used in fiber optics.

  • Q6
    Write the expression for fringe width in Young’s double-slit experiment.
    A6

    Fringe width β = λD/d, where λ is wavelength, D is slit-to-screen distance, d is slit separation. Fringes are equally spaced for monochromatic light.

  • Q7
    State Einstein’s photoelectric equation and explain stopping potential.
    A7

    hν = φ₀ + K_max. Stopping potential V₀ = (hν - φ₀)/e. It is the retarding potential that stops most energetic photoelectrons.

  • Q8
    State postulates of Bohr’s model for hydrogen atom.
    A8

    Electrons revolve in fixed orbits without radiating energy. Angular momentum = nh/2π. Energy emitted when electron jumps from higher to lower orbit.

  • Q9
    Distinguish between intrinsic and extrinsic semiconductors.
    A9

    Intrinsic: pure semiconductor with equal electrons and holes. Extrinsic: doped with impurities (n-type with pentavalent; p-type with trivalent atoms).

  • Q10
    How is a moving coil galvanometer converted into an ammeter?
    A10

    Connect a low resistance shunt in parallel with galvanometer. Shunt diverts most current, allowing measurement of higher currents without damaging the coil.

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