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MHT CET202015 Oct 2020Morning ShiftPhysicsWaves and SoundActual

The equation of vibration of a stretched string fixed at both ends and vibrating in 5^ th harmonic is Y=3 (0 4 x) (200 t) where 'x' and 'Y' are in cm and t in second. Length of the string is

Options

  1. A(10 5) cm
  2. B(8 5) cm
  3. C(12 5) cm
  4. D(4 5) cm

Correct answer

C. (12 5) cm

Step-by-step solution

For 5^ th harmonic, the string of length L vibrates in 5 loops 5 2 = L Now 2 =0.4 = 2 0.4 = 20 4 =5 L= 5 5 2 = 25 2 =12.5

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