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Young's Modulus of Elasticity

Two identical...

Question

Two identical wires of iron and copper with their Young's modulus in the ratio $3 : 1$ are suspended at same level. They are to be loaded so as to have the same extension and hence level. Ratio of the weight is

A

1 : 3

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B

2 : 1

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C

3 : 1

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D

4 : 1

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Solution

The correct option is C $3 : 1$
$δ l = \frac{F L}{A E} \Rightarrow \frac{F_{c} . L}{A . E_{c}} = \frac{F_{i} . L}{A . {3 E}_{c}} o r {3 F}_{c} = F_{i} T h u s, 3 W_{c} = W_{i}$

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