Physics Elasticity Question 96

Question: Steel and copper wires of same length are stretched by the same weight one after the other. Young’s modulus of steel and copper are $ 2\times 10^{11},N/m^{2} $ and $ 1.2\times 10^{11},N/m^{2} $ . The ratio of increase in length

[MP PET 1984]

Options:

A) $ \frac{2}{5} $

B) $ \frac{3}{5} $

C) $ \frac{5}{4} $

D) $ \frac{5}{2} $

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Answer:

Correct Answer: B

Solution:

$ l=\frac{FL}{AY}\Rightarrow \frac{l _{S}}{l _{cu}}=\frac{Y _{cu}}{Y _{S}} $ (F,L and Y are constant)\ $ \frac{l _{s}}{l _{cu}}=\frac{1.2\times 10^{11}}{2\times 10^{11}}=\frac{3}{5} $