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MHT CET 2026 (18 Apr, Shift 2) · Wave Theory, Wavefronts & Doppler Effect

Wave Theory, Wavefronts & Doppler Effect question from MHT CET 2026 (18 Apr, Shift 2)

Q6MHT CET 2026 · 18 APR · SHIFT 2Medium

Wave Theory, Wavefronts & Doppler Effect

A plane wavefront of width xx, is incident on an air-water interface and the corresponding refracted wavefront has a width y as shown in figure. The refreactive index of air with respect to water in terms of distances w and z is

Figure

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Answer: (a)

  1. In the same time, light travels distance zz in air and distance ww in water.
  2. So zw=cvw=aμw\dfrac{z}{w} = \dfrac{c}{v_w} = {}_a\mu_w (water w.r.t. air).
  3. Air w.r.t. water: wμa=1aμw=wz{}_w\mu_a = \dfrac{1}{{}_a\mu_w} = \dfrac{w}{z}.
  4. So the answer is (a) wz\dfrac{w}{z}.
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