QJEEM22Ph5ee3: JEE Main 2022 Physics - Class 11 JEEM22Ph5ee3 Solution: The elongation of a wire on the surface of the earth is 10 − 4…

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QJEEM22Ph5ee3: JEE Main 2022 Physics - Class 11 JEEM22Ph5ee3 Solution: The elongation of a wire on the surface of the earth is 10 − 4…

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 ____________ ms^{$-$ 2}. (Take acceleration due to gravity on the surface of earth = 10 ms^{$-$ 2})

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Accepted Answer

on earth, $Δ l = 10^{- 4} m$

on other planet $Δ l^{'} = 6 \times 10^{- 5} m$

$Δ l = \frac{F l}{A y} \Rightarrow \frac{Δ l^{'}}{Δ l} = \frac{\frac{F^{'} l}{A y}}{\frac{F l}{A y}} = \frac{m g^{'}}{m g}$

$\Rightarrow g^{'} = \frac{Δ l^{'}}{Δ l} \times g$

$= \frac{6 \times 10^{- 5}}{10^{- 4}} \times 10$

$\Rightarrow g^{'} = 6$ m/s²

QJEEM22Ph5ee3: JEE Main 2022 Physics - Class 11 JEEM22Ph5ee3 Solution: The elongation of a wire on the surface of the earth is 10 − 4…

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