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

A string of mass 2.50kg is under a tension os 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

1s

B

`0.5` s

C

2s

D

data given is insufficient

Text Solution

Verified by Experts

The correct Answer is:
B
Mass m=2.5 kg
`mu`= mass pe unit length
`=(m)/(l)=(2.5kg)/(20)=(125)/(10) =0.125kg//s`
Speed `v=sqrt((T)/(mu))=sqrt((200)/(0.125))" " ` [ speed of transverse waves in any string ]
`l=vxxtrArr20=sqrt((200)/(0.125))xxt`
`rArr t=20xxsqrt((125)/(2xx10^(5)))=20xxsqrt((25xx5)/(2xx10^(5)))`
`=20xxsqrt(25xx(1)/(0.4xx10^(5)))`
`=20xx5sqrt((1)/(4xx10^(4)))=(20xx5)/(2xx10^(2))`
`=(1)/(2)=0.5`
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