Physics Elasticity Question 90

Question: The Young’s modulus of a rubber string 8 cm long and density $ 1.5,kg/m^{3} $ is $ 5\times 10^{8},N/m^{2} $ , is suspended on the ceiling in a room. The increase in length due to its own weight will be

[AIIMS 1986]

Options:

A) $ 9.6\times {{10}^{-5}},m $

B) $ 9.6\times {{10}^{-11}},m $

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

D) 9.6 m

Show Answer

Answer:

Correct Answer: B

Solution:

$ l=\frac{L^{2}dg}{2Y}=\frac{{{(8\times {{10}^{-2}})}^{2}}\times 1.5\times 9.8}{2\times 5\times 10^{8}} $

$ =9.6\times {{10}^{-11}}m $