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JEE Advanced Wave Optics — practice questions

Explore 94 free Wave Optics questions in JEE Advanced Physics. Open each question or exercise to read its content, reference answers and available explanation.

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Wave Optics questions and exercises with answers

Showing questions 1–30 of 94.

Unpolarised light of intensity $I_0$ is passed through a single ideal polariser. The intensity of the transmitted light is:Read the answer and worked solution →Brewster's angle for a glass of refractive index $\sqrt{3}$ (relative to air) is:Read the answer and worked solution →The SI unit of electric charge is the:Read the answer and worked solution →Coulomb's law: force between two point charges is proportional to:Read the answer and worked solution →The value of k in Coulomb's law (in SI) is approximately:Read the answer and worked solution →Electric field strength at a point is defined as force per unit:Read the answer and worked solution →Total electric flux through a closed surface enclosing charge q (Gauss's law) is:Read the answer and worked solution →Electric field due to an INFINITE SHEET of charge with surface charge density σ:Read the answer and worked solution →Two point charges +2μC and -3μC are separated by 30 cm. The force on each (k = 9 × 10⁹):Read the answer and worked solution →Electric field due to a point charge q at distance r:Read the answer and worked solution →Critical angle for total internal reflection from water (n = 4/3) to air:Read the answer and worked solution →In a thin film of thickness t with refractive index n, condition for destructive interference for reflected light (no phase change on reflection conditions):Read the answer and worked solution →Diffraction is the:Read the answer and worked solution →Single-slit diffraction first minimum occurs at angle θ where:Read the answer and worked solution →Brewster's angle θ_B for light hitting glass (n = 1.5) from air satisfies:Read the answer and worked solution →For maximum brightness in Newton's rings (reflected light, air film), what is the radius of n-th bright ring? (R = lens radius, λ = wavelength)Read the answer and worked solution →Two slits 0.5 mm apart with light of wavelength 5000 Å. The 5th bright fringe is at distance from central maximum on screen 1 m away:Read the answer and worked solution →In Young's experiment, if the entire setup is immersed in water (n = 4/3), the fringe width:Read the answer and worked solution →Power of a convex lens of focal length 50 cm:Read the answer and worked solution →Resolution limit of a telescope by Rayleigh criterion:Read the answer and worked solution →Wavelength of light in water (n = 4/3) if its vacuum wavelength is 600 nm:Read the answer and worked solution →Two coherent sources have intensities I1 = 9I and I2 = I. Maximum and minimum intensities in interference pattern:Read the answer and worked solution →In Young's experiment, intensity at a point where path difference is λ/4:Read the answer and worked solution →For a grating with 500 lines/mm and light at 600 nm, find angle for the first-order maximum:Read the answer and worked solution →In single-slit diffraction, ratio of intensities of first and central maxima is approximately:Read the answer and worked solution →Speed of light in a medium of refractive index 1.5 is:Read the answer and worked solution →A wavefront is:Read the answer and worked solution →Young's double-slit experiment demonstrates:Read the answer and worked solution →For constructive interference, path difference Δp =Read the answer and worked solution →In YDSE, fringe width β =Read the answer and worked solution →

Worked practice questions

Unpolarised light of intensity $I_0$ is passed through a single ideal polariser. The intensity of the transmitted light is:

  1. $I_0$
  2. $I_0/2$
  3. $I_0\cos^2\theta$
  4. $I_0/4$
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Correct answer: B. $I_0/2$

Unpolarised light contains all polarisation directions with equal probability. Averaging Malus's law over all input angles gives $\langle I \rangle = I_0 \langle\cos^2\theta\rangle = I_0/2$. Once polarised, a second polariser would then attenuate further by $\cos^2\theta$ relative to its axis.

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Brewster's angle for a glass of refractive index $\sqrt{3}$ (relative to air) is:

  1. $30^\circ$
  2. $45^\circ$
  3. $60^\circ$
  4. $90^\circ$
Show answer and solution

Correct answer: C. $60^\circ$

**Brewster's law:** $\tan i_B = \mu$. With $\mu = \sqrt{3}$, $\tan i_B = \sqrt{3} \Rightarrow i_B = 60^\circ$. At this angle the reflected light is completely plane-polarised, with the electric field perpendicular to the plane of incidence.

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The SI unit of electric charge is the:

  1. volt
  2. ampere
  3. coulomb
  4. ohm
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Correct answer: C. coulomb

Charge is measured in coulombs (C). 1 C = 1 A·s. The fundamental unit of charge is e = 1.6 × 10⁻¹⁹ C (proton/electron magnitude).

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