The height at which the weight of a body becomes $1/16^{th}$ of its weight on the surface of the earth (radius $R$) is: (in $R$)

Passive absorption of minerals depends on which of the following?

$\sinh^{-1}(2^{3/2})$ is equal to :

If $f(2)=4$ and $f^{\prime}(2)=1$,then $\lim _{x \rightarrow 2} \frac{x f(2)-2 f(x)}{x-2}$ is equal to

Which of the following is $NOT$ included in $In-situ$ conservation?

$A$ particle of mass $M$ is at a distance $a$ from the surface of a thin spherical shell of uniform mass $M$ and radius $a$. Which of the following statements is true regarding the gravitational field and potential inside the shell?