Advanced physics questions with solutions

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• MCQmediumElectrostatic

  A uniform electric field E = 91 × 10⁻⁶ V m⁻¹ is created between two parallel, charged plates as shown in figure. An electron enters the field symmetrically between the plates with a speed v₀ = 4 × 10³ m s⁻¹. The length of each plate is l = 1m. Find the angle of deviation of the path of the electron as it comes out of the field. (Mass of the electron is m = 9.1 × 10⁻³¹ kg and its charge is e = -1.6 × 10⁻¹⁹ C).

  

  Options

  • Option A

    θ = 30°

  • Option B

    θ = 15°

  • Option C

    θ = 45°

  • Option D

    θ = 60°

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• MCQmediumWave Optics

  Two coherent sources S₁ and S₂ each produce intensity I₀ at the screen. Their wavelength is 0.5 μm, separation d=2 mm, and screen distance L=2 m. Find the intensity at point A shown in the source figure.

  

  Options

  • Option A

    4I0

  • Option B

    2I0

  • Option C

    I₀

  • Option D

    zero

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• MCQmediumElectrostatic

  Potential energy of a system comprising of point charges is U₁. When a charge q is added in the system without disturbing other charges, the potential energy becomes U₂. The potential of the point where the charge q is placed in the system is

  Options

  • Option A

    $\frac{U_2-U_1}{q}$

  • Option B

    $\frac{U_1-U_2}{q}$

  • Option C

    $\frac{U_1+U_2}{2q}$

  • Option D

    $\frac{U_2-U_1}{2q}$

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• NumericeasyWave Motion

  A tuning fork produces 4 beats per second with a 256 Hz fork. The first fork is then loaded with a little wax and the beat frequency increases to 6 per second. Find its original frequency.

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• MCQmediumElectrostatic

  Six charges are placed at the vertices of a regular hexagon as shown in the figure. The vertical component of the electric field along the line passing through point O and perpendicular to the plane of the figure at a distance of x (>>a) from O is

  

  Options

  • Option A

    $\frac{Qa}{\pi\varepsilon_{\omicron}x^3}$

  • Option B

    $\frac{2Qa}{\pi\varepsilon_{\omicron}x^3}$

  • Option C

    $\frac{\sqrt3Qa}{\pi\varepsilon_{\omicron}x^3}$

  • Option D

    zero

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• Multi-correctmediumSimple Harmonic Motion

  The figure shows the velocity–displacement graph of a particle performing SHM.

  

  Select all that apply

  • Option A

    The time period is 1.57 s

  • Option B

    The maximum acceleration is 40 cm s⁻²

  • Option C

    The velocity is 2√21 cm s⁻¹ when displacement is 1 cm

  • Option D

    Minimum acceleration is 4 cm s⁻²

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• MCQmediumAtomic Structure and X-rays

  Following statements are given for atom in ground state. Choose CORRECT statement :-

  Options

  • Option A

    Helium (He) can not emit Kβ characteristic X-rays but can emit Kα characteristic X-rays.

  • Option B

    Helium (He) can emit Kα as well as Kβ characteristic X-rays.

  • Option C

    Lithium (Li) can not emit Kβ characteristic X-rays but can emit Kα characteristic X-rays.

  • Option D

    Lithium (Li) can emit Kα as well as Kβ characteristic X-rays.

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• MCQmediumGravitationSatellites, Orbital Motion & Kepler’s Laws

  A planet revolve around the Sun in an elliptical orbit. Its areal velocity dA/dt is 4.0 × 10¹⁶ m² s⁻¹. The least distance between the planet and the Sun is 2 × 10¹² m. Find the maximum speed of the planet in km s⁻¹.

  Options

  • Option A

    10

  • Option B

    20

  • Option C

    40

  • Option D

    None of these

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• Multi-correctmediumSimple Harmonic Motion

  A physical pendulum is a disk of radius R, swinging about an axis perpendicular to its plane and at distance λ from its centre. (a) Show that ω = √[g$\lambda$/(R²/2+$\lambda^2$)]. (b) For what $\lambda$ is this frequency maximum?

  Select all that apply

  • Option A

    I about pivot is M(R²/2+λ²)

  • Option B

    ω = √[gλ/(R²/2+λ²)]

  • Option C

    ω is maximum at λ=R/√2

  • Option D

    At this value, equivalent length is √2R

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• NumericmediumWave Optics

  A plane-polarized beam falls on a polarizer rotating about the ray axis with angular velocity 21 rad/s. The incident energy flux is 4.0 mW. Find the energy transmitted in one complete revolution in mJ.

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