Embibe Experts Solutions for Chapter: Gravitation, Exercise 1: AIPMT - 25th July 2015

A body of mass $60 \mathrm{g}$ experiences a gravitational force of $3.0 \mathrm{N}$, when placed at a particular point. The magnitude of the gravitational field intensity at that point is

The escape velocity from the Earth's surface is $v$. The escape velocity from the surface of another planet having a radius four times that of Earth and the same mass density is:

A particle of mass $m$ is projected with a velocity $v=k{V}_e (k<1)$ from the surface of the earth ($V_e=$ escape velocity). The maximum height above the surface reached by the particle is___

What is the depth at which the value of acceleration due to gravity becomes $\frac{1}{n}$ times the value at the surface of the earth? (radius of the earth $=R$)

A body weighs $72 \mathrm{N}$ on the surface of the earth. What is the gravitational force on it, at a height equal to half the radius of the earth?

A body weighs $200\mathrm{ }\mathrm{N}$ on the surface of the earth. How much will it weigh half way down to the centre of the earth?

A black hole is an object whose gravitational field is so strong that even light cannot escape from it. To what approximate radius would earth $\left(\mathrm{m}\mathrm{a}\mathrm{s}\mathrm{s}=5.98\times {10}^{24}\mathrm{k}\mathrm{g}\right)$ have to be compressed to be a black hole?

Dependence of intensity of gravitational field $\left(E\right)$ of earth with distance $\left(r\right)$ from centre of earth is correctly represented by: