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A string of mass 3 kg is under tension o...

A string of mass 3 kg is under tension of 400 N. the length of the stretched strin is 25 cm. iff the transverse jerk is stuck at tone end of the string how long does the disturbance take to reach the other end?

A

0.043s

B

4.33S

C

0.055 s

D

0.034 s

Text Solution

Verified by Experts

The correct Answer is:
A
Here,
Mass of the string, `m=3kg`
Length of the string, L=25cm=`25xx10^(-2)m`
Tension in the string, T=400 N
Mass per unit length of the string,
`mu=(m)/(L)=(3kg)/(25xx10^(-2)m)=12" kg "m^(-1)`
Speed of the wave on the string is
`v=sqrt((T)/(mu))=sqrt((400N)/(12" kg "m^(-1)))=5.77ms^(-1)`
Time taken by disturbance to reach the other end
`t=(L)/(v)=(25xx9.8)/(4000)=0.049m=4.9cm`
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