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NEETPhysicsWaves and Sound

A progressive wave is represented by the equation y = A ( x - t) , where x and y are in metres and t is in seconds. If the frequency of the wave is n and its propagation speed is v , then the parameter is given by:

Options

  1. A2 v n
  2. B2 n v
  3. C2 n v
  4. Dn 2 v

Correct answer

C. 2 n v

Step-by-step solution

The standard equation of a travelling wave is y = A (kx - t) . Comparing this with the given equation y = A ( x - t) , we identify the parameter as the wave number k . The wave number is related to the wavelength by the formula k = 2 . The relationship between wave speed v , frequency n , and wavelength is v = n , which rearranges to = v n . Substituting this expression for into the equation for , we get: = 2 ( v n ) = 2 n v . Answer: 2 n v

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