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MHT CET202313 May 2023Evening ShiftPhysicsWaves and SoundActual

The equation of a progressive wave is Y = asin 2 (n t- x 5 ) . The ratio of maximum particle velocity of wave velocity is

Options

  1. Aa 5
  2. B2 a 5
  3. C3 a 5
  4. D4 a 5

Correct answer

B. 2 a 5

Step-by-step solution

The general equation for wave is Y = a ( t - kx ) The given equation can be written as Y= asin (2 n t-2 x 5 ) Comparing both equations, =2 nk= 2 5 Wave velocity is given as v = k v = 2 n 2 5 =5 n Particle velocity can be calculated as follows: d Y d x =a(2 n) (2 n t-2 x 5 ) Maximum velocity is v _ m =(2 na ) v _ m v = 2 na 5 n v _ m v = 2 a 5

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