Elongation of a wire on surface of earth is 10^{-4} m . same wire of same dimensions is elongated by

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8.Mechanical Properties of Solids

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The elongation of a wire on the surface of the earth is $10^{-4} \; m$. The same wire of same dimensions is elongated by $6 \times 10^{-5} \; m$ on another planet. The acceleration due to gravity on the planet will be $\dots \; ms ^{-2}$. (Take acceleration due to gravity on the surface of earth $=10 \; m / s ^{-2}$ )

A

$0$

B

$2$

C

$4$

D

$6$

(JEE MAIN-2022)

Solution

$\Delta \ell \propto g$

$\frac{\Delta \ell_{\text {earth }}}{\Delta \ell_{\text {planet }}}=\frac{g_{\text {earth }}}{g_{\text {planet }}}=\frac{10^{-4}}{6 \times 10^{-5}}$

$g_{planet} = 6 \; m / s ^{-2}$

Ans. $6.00$

Standard 11

Physics

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