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 $R _{ e }=6400\,km$ )

  • [JEE MAIN 2022]
  • A

    $5$

  • B

    $3$

  • C

    $2$

  • D

    $0$

Similar Questions

If radius of the earth contracts $2\%$ and its mass remains the same, then weight of the body at the earth surface

If the density of the earth is doubled keeping its radius constant, then acceleration due to gravity will be ........ $m/s^2$. $(g = 9.8\,m/sec^2)$

Assuming the earth to be a sphere of uniform density the acceleration due to gravity

Write the equation of gravitation acceleration which is used for any height from the surface of earth.

If a planet consists of a satellite whose mass and radius were both half that of the earth, the acceleration due to gravity at its surface would be ......... $m/{\sec ^2}$ ($ g$ on earth $= 9.8\, m/sec^2$ )