Physics Elasticity Question 139

Question: A rubber pipe of density $ 1.5\times 10^{3},N/m^{2} $ and Young’s modulus $ 5\times 10^{6},N/m^{2} $ is suspended from the roof. The length of the pipe is 8 m. What will be the change in length due to its own weight

[RPET 1996]

Options:

A) 9.6 m

B) $ 9.6\times 10^{3},m $

C) $ 19.2\times {{10}^{-2}},m $

D) $ 9.6\times {{10}^{-2}},m $

Show Answer

Answer:

Correct Answer: D

Solution:

$ l=\frac{L^{2}dg}{2Y} $

$ =\frac{{{(8)}^{2}}\times 1.5\times 10^{3}\times 10}{2\times 5\times 10^{6}}=9.6\times {{10}^{-2}}m $