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JEE Main Wave Optics — practice questions — page 2

Explore 125 free Wave Optics questions in JEE Main 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 31–60 of 125.

Coherent sources have:Read the answer and worked solution →In YDSE with λ = 600 nm, d = 0.2 mm, D = 1 m, fringe width =Read the answer and worked solution →Diffraction is:Read the answer and worked solution →Single-slit diffraction first minimum at angle θ satisfies:Read the answer and worked solution →Polarization establishes that light is:Read the answer and worked solution →Brewster's law: angle of polarization i_B from glass-air interface satisfies:Read the answer and worked solution →Maximum number of bright fringes visible in YDSE with d/λ = 4:Read the answer and worked solution →Speed of light in a medium of refractive index n =Read the answer and worked solution →Resolving power of a microscope is proportional to:Read the answer and worked solution →In YDSE with monochromatic light (λ = 500 nm) and d = 0.1 mm, distance from central maximum to 3rd bright fringe on screen at D = 2 m:Read the answer and worked solution →In YDSE, when whole apparatus is immersed in water (n = 4/3), fringe width:Read the answer and worked solution →Intensity at point in YDSE with phase difference φ between two waves of equal amplitude:Read the answer and worked solution →For single-slit diffraction of width a, angular position of m-th minimum:Read the answer and worked solution →Resolving power of diffraction grating with N lines:Read the answer and worked solution →Width of central maximum in single-slit diffraction:Read the answer and worked solution →Light from a sodium lamp (λ = 590 nm) falls on YDSE with d = 0.5 mm, screen D = 1 m. Fringe width:Read the answer and worked solution →Two slits separated by d emit light of wavelength λ. Angular separation of fringes:Read the answer and worked solution →Resolving power of telescope is given by Rayleigh criterion:Read the answer and worked solution →Light passes from air to glass ($n = 1.5$). Brewster's angle is:Read the answer and worked solution →HUYGENS' PRINCIPLE states that every point on a wavefront acts as a:Read the answer and worked solution →In Young's double-slit experiment, the fringe width β is given by:Read the answer and worked solution →In Young's experiment, a BRIGHT fringe (constructive interference) requires path difference = ?Read the answer and worked solution →In single-slit diffraction, the central maximum is:Read the answer and worked solution →Polarisation of light is direct experimental evidence that light is a:Read the answer and worked solution →BREWSTER'S LAW for the polarising angle θ_B relates to the refractive index n as:Read the answer and worked solution →The resolving power (RP) of a diffraction grating with N slits in the m-th order is:Read the answer and worked solution →Which medium has the higher refractive index?Read the answer and worked solution →In a double-slit experiment, if the wavelength is doubled and the slit separation is halved, the fringe width becomesRead the answer and worked solution →At a point where the path difference between two coherent light waves is 3λ/2, the interference isRead the answer and worked solution →The Huygens principle states that every point of a wavefront acts asRead the answer and worked solution →

Worked practice questions

Coherent sources have:

  1. Constant phase difference (and same frequency)
  2. Different frequencies
  3. Different wavelengths
  4. Random phases
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Correct answer: A. Constant phase difference (and same frequency)

**Coherent:** same frequency AND constant (typically zero) phase difference. Required for stable interference pattern. Lasers are highly coherent. Two independent bulbs are incoherent (no fixed phase relation).

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In YDSE with λ = 600 nm, d = 0.2 mm, D = 1 m, fringe width =

  1. 3 mm (β = 600 × 10⁻⁹ × 1 / 0.2 × 10⁻³)
  2. 0.3 mm
  3. 6 mm
  4. 1 mm
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Correct answer: A. 3 mm (β = 600 × 10⁻⁹ × 1 / 0.2 × 10⁻³)

We have β = λD/d. That is β = (600 × 10⁻⁹)(1)/(0.2 × 10⁻³). That is β = 3 × 10⁻³ m. So β = 3 mm.

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Diffraction is:

  1. Bending of waves around obstacles or edges
  2. Polarization
  3. Splitting of light into colors
  4. Total reflection
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Correct answer: A. Bending of waves around obstacles or edges

**Diffraction:** when waves encounter an obstacle or aperture, they bend and spread. Effect more pronounced when aperture size is comparable to wavelength. Single-slit diffraction gives central bright maximum with secondary minima/maxima.

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