The diameter of a brass wire is 0.6 mm and $Y\ $is $9\ imes 10^{6}\ Nm^{- 2}\ .\ $The force which will increase its length by 0.2% is about

Question

The diameter of a brass wire is 0.6 mm and $Y\ $is $9\ 	imes 10^{6}\ Nm^{- 2}\ .\ $The force which will increase its length by 0.2% is about

Dr. Abubacker · Accepted Answer

(b) $F = \frac{YA\mathrm{\Delta}l}{l}\ $
= $9\  	imes 10^{10} 	imes \frac{22}{7} 	imes \ \frac{\left( 0.6 	imes 10^{- 3} ight)^{2}}{4} 	imes \frac{0.2}{100}N \approx 51\ N$

Q. The diameter of a brass wire is 0.6 mm and $Y\ $is $9\ \times 10^{6}\ Nm^{- 2}\ .\ $The force which will increase its length by 0.2% is about

Explanation

Reviewed by Dr. Abubacker

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