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Most Important Selected Qs for JEE AdvancedPhysicsWaves and Sound

Ranvir and Akshay are rowing two boats in a river with the same speed v relative to the river. Ranvir is upstream relative to Akshay. The river is flowing with speed v/2. Each boat sends, through the water, a signal to the other. The frequencies f ₀ of the generated continuous sonic signals are the same. Each observer observes the wave sent by the other person. In each of the situation in column-I, Match the appropri

Options

  1. A(A) - (Q, T), (B) - (Q, R), (C) - (S, T), (D) - (Q)
  2. B(A) - (P, T), (B) - (Q, S), (C) - (R, T), (D) - (P)
  3. C(A) - (T), (B) - (P, Q), (C) - (R), (D) - (T)
  4. D(A) - (Q, R), (B) - (S, T), (C) - (Q), (D) - (P, T)

Correct answer

A. (A) - (Q, T), (B) - (Q, R), (C) - (S, T), (D) - (Q)

Step-by-step solution

Time taken by wave to travel from Ranvir to Akshay T_A= d C+ v 2 +v ; T_B= d C+ v 2 -v ; T_C= d C+ v 2 -v ; T_D= d C+ v 2 +v Time taken by wave to travel from Akshay to Ranvir T_A= d C- v 2 -v ; T_B= d C- v 2 -v ; T_C= d C- v 2 +v ; T_D= d C- v 2 +v Time will not be same for any case Wavelength observed by Akshay _ A = C + v 2 + v f ; _ B = C + v 2 + v f ; _ C = C + v 2 - v f ; _ D = C + v 2 - v f Wavelength observed by Ranvir _ A = C - v 2 - v f ; _ B = C - v 2 + v f ; _ C = C - v 2 + v f ; _ D = C - v 2 - v f Fre

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