Advanced physics questions with solutions

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• MCQeasyWave Motion

  A source of sound moves along a circle of radius 2 m with constant angular velocity 40 rad s⁻¹. Frequency of the source is 300 Hz. A detector is kept of some distance from the circle in the same plane of the circle (as shown in figure). Which of the following is not the possible value of frequency registered by the detector ? (Speed of sound = 320 m s⁻¹)

  

  Options

  • Option A

    250 Hz

  • Option B

    360 Hz

  • Option C

    396 Hz

  • Option D

    220 Hz

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• Multi-correctmediumElectrostatic

  As shown in figure a point charge 1q is placed inside a neutral conducting shell at a distance R/2 from the centre of shell. Another point charge 2q is placed at a distance $\frac{\sqrt7}{2}$R from the centre of shell. Choose the correct option(s).

  

  Select all that apply

  • Option A

    The magnitude of force on q₁ due to induced charges at the inner surface of the conducting shell is zero.

  • Option B

    The magnitude of force on q₁ due to induced charges at the outer surface of the conducting shell is q₁q₂/8πε₀R²

  • Option C

    The magnitude of force on q₂ due to induced charges at the inner surface of the shell is zero.

  • Option D

    The magnitude of force on q₂ due to induced charges at the inner surface of the shell is q₁q₂ /8πε₀R²

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• NumericmediumGravitationAcceleration Due to Gravity & Escape Velocity

  A hypothetical spherical planet of radius R has density ρ(r) = Kr, where K is constant. The pressure at radius r < R is P(r) = [K²Gπ/$n^2$](R⁴ - r⁴). Find n.

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• MCQmediumElectrostatic

  A charge +q is placed at each of the points x = x₀, 3x₀, 5x₀, … to infinity on the x-axis, and a charge -q is placed at x = 2x₀, 4x₀, 6x₀, … to infinity. Here x₀ is a positive constant. Take the electric potential at a point due to a charge q at a distance r from it to be Q/$4\pi\varepsilon_{\omicron}r$Find the electric potential at the origin.

  Options

  • Option A

    0

  • Option B

    $\frac{q}{8\pi\varepsilon_{\omicron}log_{e}2}$

  • Option C

    ∞

  • Option D

    $\frac{qlog_{e}2}{4\pi\varepsilon_{\omicron}x_{\omicron}}$

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• MCQmediumProperties of solid and fluid

  Which graph best represents the velocity-time motion of a raindrop falling through air? Image

  Options

  • Option A

    Image 1

  • Option B

    Image 2

  • Option C

    Image 3

  • Option D

    Image 4

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• MCQmediumElectrostatic

  The electric field depends only on x and is $\vec{E}$= (20/x²)$\hat{i}$V m⁻¹. Find the potential of point B relative to point A, where A = (5 m, 0) and B = (10 m, 0).

  Options

  • Option A

    -5 V

  • Option B

    +5 V

  • Option C

    -2 V

  • Option D

    +2 V

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• NumericmediumSimple Harmonic Motion

  Mass m is suspended by ideal massless springs in two arrangements (a) and (b). The vertical SHM frequencies are fₐ and fᵦ. Find fₐ/fᵦ, given k₂=2k₁.

  

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• MCQmediumAtomic Structure and X-rays

  A stationary hydrogen atom of mass M emits a photon corresponding to the longest wavelength of the Balmer series. Find the recoil speed of the atom. R is the Rydberg constant and h is Planck's constant.

  Options

  • Option A

    Rh/M

  • Option B

    Rh/(4M)

  • Option C

    3Rh/(4M)

  • Option D

    5Rh/(36M)

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• MCQmediumElectrostatic

  Two point charges placed at a certain distance r in air exert a force F on each other. Then the distance r' at which these charges will exert the same force in a medium of dielectric constant k is given by

  Options

  • Option A

    r

  • Option B

    r/k

  • Option C

    r/√k

  • Option D

    r√k

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• NumericmediumPhotoelectric effect and dual nature of matter

  Light of wavelength 3540 Å falls on a metal of work function 2.5 eV. The emitted electrons, at 10¹⁸ electrons per second, transfer their entire maximum kinetic energy as heat to a target metal of mass 10⁻³ kg and specific heat 160 J kg⁻¹ °C⁻¹. Find the rate of temperature rise in °C s⁻¹. Take hc = 12400 eV·Å.

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