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.

Options

A. `96 xx 10^(-3) m`
B. `19.2 xx 10^(-5) m`
C. 9.4 cm
D. 9.6 mm

Answer

C

Explanation

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