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A rubber pipe of density 1.5 xx 10^(3) N...

A rubber pipe of density `1.5 xx 10^(3) N//m^(2)` and Young's modulus `5 xx 10^(6) N//m^(2)` is suspended from the roof. The length of the pipe is 8m. What will be the change in length due to its own weight.

A

`96 xx 10^(-3) m`

B

`19.2 xx 10^(-5) m`

C

9.4 cm

D

9.6 mm

Text Solution

Verified by Experts

The correct Answer is:
C
(c) Due to own weight, `Deltal=(mgl)/(2AY)=((lArho)gl)/(2AY)`
`(l^(2)rhog)/(2Y)=((8)^(2)(1.5xx10^(3))(9.8))/(2xx5xx10^(6))`
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