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MHT CET202012 Oct 2020Morning ShiftPhysicsWaves and SoundActual

A pipe open at one end has length 0.8 ~m . At the open end of the tube a string 0.5 ~m long is vibrating in its 1^ st overtone and resonates with fundamental frequency of pipe. If tension in the string is 50 ~N , the mass of string is (speed of sound =320 ~m / s )

Options

  1. A25 gram
  2. B15 gram
  3. C20 gram
  4. D10 gram

Correct answer

D. 10 gram

Step-by-step solution

2 [ 1 2 ₁ T m ]= v 4 ₂ 1 0.5 50 m = 320 4 0.8 Total mass of the string =0.02 0.5 ~kg =10 gm 02 ~kg / m

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