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MHT CET Medical202621 April 2026Morning ShiftPhysicsWaves and SoundActual

A transverse wave is described by the equation y = A 2 (nt - x 10 ) . The ratio of maximum particle velocity to wave velocity is

Options

  1. AA 5
  2. B2 A 5
  3. C3 A 5
  4. D4 A 5

Correct answer

A. A 5

Step-by-step solution

The given wave equation is y = A 2 (nt - x 10 ) Comparing this with the standard wave equation y = A ( t - kx) , we get: Angular frequency, = 2 n Wave number, k = 2 10 = 5 Maximum particle velocity is given by v_ p,max = A = A(2 n) Wave velocity is given by v_w = k = 2 n /5 = 10n The ratio of maximum particle velocity to wave velocity is: v_ p,max v_w = A(2 n) 10n = A 5 Answer: A 5

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