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MHT CET202013 Oct 2020Evening ShiftPhysicsWaves and SoundActual

Two progressive waves Y ₁= 2 ( t 0 4 - x 4 ) and Y ₂= 2 ( t 0 4 + x 4 ) superpose to form a standing wave. x , Y ₁ and Y ₂ are in SI system. Amplitude of the particle at x =0.5 ~m is [ 45^ = 45^ = 1 2 ]

Options

  1. A2 2 ~m
  2. B2 ~m
  3. C2 ~m
  4. D1 2 ~m

Correct answer

C. 2 ~m

Step-by-step solution

The stationary wave is given by y=2 2 x 2 t T where =4 ~m and T =0.4 ~s Amplitude A=2 2 x At x=0.5 ~m , A=2 2 0.5 4 A=2 4 =2 1 2 = 2 m

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