If acceleration due to gravity experienced by a point mass at a height h above surface of earth is s

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7.Gravitation

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If the acceleration due to gravity experienced by a point mass at a height $h$ above the surface of earth is same as that of the acceleration due to gravity at a depth a depth $\alpha$ h $\left(h \ll R_{e}\right)$ from the earth surface. The value of $\alpha$ will be$....$(use $R _{ e }=6400\,km$ )

A

$5$

B

$3$

C

$2$

D

$0$

(JEE MAIN-2022)

Solution

$g\left(1-\frac{2 h}{R}\right)=g\left(1-\frac{d}{R}\right)$

$\frac{2 h}{R}=\frac{d}{R}$

$\alpha h=d$

$\alpha=2$

Standard 11

Physics

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(JEE MAIN-2023)