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MHT CET202124 Sep 2021Morning ShiftPhysicsWaves and SoundActual

A uniform rope of length 12 ~m and mass 6 ~kg hangs vertically from the rigid support. A block of mass 2 ~kg is attached to the free end of the rope. A transverse pulse of wavelength 0.06 ~m is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is

Options

  1. A0.12 m
  2. B0.4 m
  3. C0.8 m
  4. D0.16 m

Correct answer

A. 0.12 m

Step-by-step solution

Speed of a wave in a string is given by aligned & V = f = T m & = 1 f T m & ₂ ₁ = T ₂ ~T ₁ aligned Tension at the bottom of the rope = T ₁=2 ~kg Tension at the top of the rope T ₂=2+6=8 ~kg aligned & ₂= T ₂ ~T ₁ ₁= 8 2 0.06 & =2 0.06=0.12 ~m aligned

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