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A long rubber tube having mass 0.9 kg is...

A long rubber tube having mass 0.9 kg is fastened to a fixed support and the free end of the tube is attached to a cord which passes over a pulley and supports an object, with a mass of 5 kg as shown in figure. If the tube is struck by a transverse blow at one end, find the time required for the pulse to reach the other end.

A

5 s

B

0.47 s

C

4.7 s

D

3.2 s

Text Solution

Verified by Experts

The correct Answer is:
B
Let `mu` = mass per unit length of rubber tube
`mu = (0.9)/(12) = 0.075 kg//m`
Tension in tube, T = mg `= 5xx9.8 = 49 N`
Speed of wave on the tube
`v = sqrt(((T)/(mu)))=sqrt((49)/(0.075))=25.56 m//s`
Time required = t= `(AB)/(v) = (12)/(25.56) = 0.47 s`
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