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A string of mass 2.50kg is under a tensi...

A string of mass 2.50kg is under a tension is 200N. The length of the stretched string is 20.0m. If the transverse jerk is struck at one end of the string, how long does the disturbance take to reach the other end?

A

one second

B

0.5 second

C

2 second

D

data given is insufficent

Text Solution

Verified by Experts

The correct Answer is:
B
Here, L=20m, T=200N, M=2.5Kg
`"Mass per unit length" mu=(M)/(L)=(2.5kg)/(20m)=0.125kgm^(-1)`
`"Velocity", v=sqrt((T)/(mu))=sqrt((200N)/(0.125kgm^(-1)))=40ms^(-1)`
Time taken by disturbance to reach the other end,
`t=(L)/(v)=(20m)/(40ms^(-1))=0.5s`
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