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Question: Answered & Verified by Expert

A uniform string of length 20 m is suspended from a rigid support. A short wave pulse is introduced at its lowest end. It starts moving up the string. The time taken to reach the support is 

(Take, g=10 m s-2)

PhysicsWaves and SoundJEE MainJEE Main 2016 (03 Apr)
Options:
  • A 22 s
  • B 2 s
  • C 2π2 s
  • D 2 s
Solution:
2705 Upvotes Verified Answer
The correct answer is: 22 s

Velocity in a string, at a distance x, is given by

v=µgxµ=gx

dx dt = gx

020dxx=g0tdt

On integrating, we get, 

t=22s

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