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MHT CET202122 Sep 2021Morning ShiftPhysicsWaves and SoundActual

A transverse wave given by y =2 (0.01 x +30 t ) moves on a stretched string from one end to another end in 0.5 second. If ' x ' and ' y ' are in cm and ' t ' is in second, then the length of the string is

Options

  1. A6m
  2. B9m
  3. C12m
  4. D15m

Correct answer

D. 15m

Step-by-step solution

Comparing with the standard equation y = A ( kx + t ) we get k =0.01 rad / cm and =30 rad / s speed of the wave, v= k = 30 0.01 =300 ~cm / s =30 ~m / s Distance = vt =30 0.5=15 ~m

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