Given below are two statements :
Statement $I$ : The law of gravitation holds good for any pair of bodies in the universe.
Statement $II$ : The weight of any person becomes zero when the person is at the centre of the earth. In the light of the above statements, choose the correct answer from the options given below.
Both statement $I$ and Statement $II$ are true
Both statement $I$ and Statement $II$ are false
Statement $I$ is true but Statement $II$ are false
Statement $I$ is false but Statement $II$ is true
Assuming earth to be a sphere of a uniform density, what is the value of gravitational acceleration in a mine $100\, km$ below the earth’s surface ........ $m/{s^2}$. (Given $R = 6400 \,km$)
The angular speed of earth, so that the object on equator may appear weightless, is $(g = 10\,m/{s^2}$, radius of earth $6400\, km$)
The acceleration due to gravity near the surface of a planet of radius $R$ and density $d$ is proportional to
Two equal masses $m$ and $m$ are hung from a balance whose scale pans differ in vertical height by $'h'$. The error in weighing in terms of density of the earth $\rho $ is
If the radius of the earth be increased by a factor of $5,$ by what factor its density be changed to keep the value of $g$ the same ?