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JEE Advanced Wave Optics — practice questions — page 3

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 61–90 of 94.

For diffraction at a single slit of width a, the angular position of the first minimum is given byRead the answer and worked solution →The width of the central maximum in single-slit diffraction on a screen at distance D isRead the answer and worked solution →The polarising angle (Brewster angle) for glass of refractive index 1.5 isRead the answer and worked solution →Which of the following phenomena is characteristic ONLY of transverse waves and NOT of longitudinal waves?Read the answer and worked solution →An unpolarised light of intensity I₀ passes through a polariser. The transmitted intensity isRead the answer and worked solution →If polarised light of intensity I passes through a polariser whose axis makes angle θ with the polarisation direction, the transmitted intensity by Malus's law isRead the answer and worked solution →Coherent sources are those that emit waves ofRead the answer and worked solution →Newton originally supported the corpuscular theory of light. The wave theory was strongly established byRead the answer and worked solution →The current driven by an alternating voltage in a circuit is called:Read the answer and worked solution →The equivalent steady current giving the same average power loss is the:Read the answer and worked solution →Phase relationships between voltage and current in an ac circuit are shown using:Read the answer and worked solution →The quantity analogous to resistance for an inductor is called:Read the answer and worked solution →The opposition offered by a capacitor to alternating current is called:Read the answer and worked solution →What is the SI unit of inductive reactance?Read the answer and worked solution →In a purely resistive ac circuit, the voltage and the current are:Read the answer and worked solution →In a circuit containing an inductor, the current does what relative to the voltage?Read the answer and worked solution →In a circuit containing a capacitor, the current does what relative to the voltage?Read the answer and worked solution →At the resonant frequency of a series RLC circuit, the current amplitude is:Read the answer and worked solution →A current that flows while no power is dissipated is sometimes called a:Read the answer and worked solution →Why is ac voltage preferred over dc voltage for power distribution?Read the answer and worked solution →The household line voltage of 220 V is quoted as which kind of value?Read the answer and worked solution →A well designed transformer may reach an efficiency of more than:Read the answer and worked solution →Which transformer loss arises from currents induced in the iron core itself?Read the answer and worked solution →Which transformer loss arises from repeatedly reversing the magnetisation of the core?Read the answer and worked solution →Inductor against capacitorRead the answer and worked solution →Sort by phase behaviourRead 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 →BREWSTER'S LAW for the polarising angle θ_B relates to the refractive index n as:Read the answer and worked solution →In single-slit diffraction, the central maximum is:Read the answer and worked solution →

Worked practice questions

For diffraction at a single slit of width a, the angular position of the first minimum is given by

  1. a cos θ = λ
  2. a sin θ = λ/2
  3. a sin θ = λ
  4. a tan θ = 2λ
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Correct answer: C. a sin θ = λ

1. Single-slit diffraction gives dark fringes at a sin θ = n λ, n = ±1, ±2, … 2. The first minimum (n = 1) is at a sin θ = λ. 3. Note: bright fringes are between minima; the central bright is broader. 4. Half-angular width of central maximum is θ ≈ λ/a for small angles. _Source: syllabus Physics, Ch 10 "Wave Optics", §10.6_

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The width of the central maximum in single-slit diffraction on a screen at distance D is

  1. λ D / a
  2. λ D × a
  3. a D / λ
  4. 2 λ D / a
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Correct answer: D. 2 λ D / a

1. First minima are at ±λ/a (small-angle approximation). 2. On a screen at distance D, they lie at ±λD/a. 3. Width of central maximum = 2 × λD/a = 2λD/a. 4. Central maximum is thus twice as wide as the successive fringes. _Source: syllabus Physics, Ch 10 "Wave Optics", §10.6_

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The polarising angle (Brewster angle) for glass of refractive index 1.5 is

  1. tan⁻¹(1.5)
  2. tan⁻¹(0.667)
  3. sin⁻¹(1.5)
  4. cos⁻¹(0.667)
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Correct answer: A. tan⁻¹(1.5)

1. Brewster's law: tan(i_B) = n_2/n_1. 2. For glass in air with n = 1.5, tan(i_B) = 1.5. 3. So i_B = tan⁻¹(1.5) ≈ 56.3°. 4. At this angle the reflected light is completely polarised perpendicular to the plane of incidence. _Source: syllabus Physics, Ch 10 "Wave Optics", §10.7_

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