The diameter of a brass wire is 0.6 mm and Y is 9 ×106 N m&#

Question

The diameter of a brass wire is 0.6 mm and Y is

9 \times 10^{6} N m^{- 2} .

The force which will increase its length by 0.2% is about

Options:

A . 100 N

B . 51 N

C . 25 N

D . none of these

Answer: Option B
:
B

F = \frac{Y A △ l}{l}

= 9 \times 10^{10} \times \frac{22}{7} \times \frac{(0.6 \times 10^{- 3})^{2}}{4} \times \frac{0.2}{100} N

=51 N approx

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