Gravitation Tes...

The value of acceleration due to gravity at a depth of $$1600 km$$ is equal to [Radius of earth $$= 6400 km$$]

You are to examine these two statements carefully and select the answers to these items using the code given below :
Statement I : The acceleration due to gravity decreases with increase in height from the surface of the Earth. 
Statement II : The acceleration due to gravity is inversely proportional to the square of the distance from the centre of the Earth. 

The depth $$'d'$$ at which the value of acceleration due to gravity becomes $$\dfrac {1}{n}$$ times the value at the earth's surface is $$(R =$$ radius of earth)

Let '$${ g }_{ h }$$' and '$${ g }_{ d }$$' be the acceleration due to gravity at height '$$h$$' above the earth's surface and at depth '$$d$$' below the earth's surface respectively. IF $${ g }_{ h }={ g }_{ d }$$ then the relation between '$$h$$' and '$$d$$' is

If the escape speed of a projectile on Earth's surface is $$11.2{ kms }^{ -1 }$$ and a body is projected out with thrice this speed, then determine the speed of the body far away from the Earth :

A man weighs $$60kg$$ at earth surface. At what height above the earth's weight become $$30kg$$, Given radius of earth is $$6400km$$:

The earth's radius is R and acceleration due to gravity at its surface is g. If a body of mass m is sent to a height $$\displaystyle h=\frac { R }{ 5 } $$ from the earth's surface, the potential energy increases by

Weight of a body of mass m decreases by $$1\%$$ when it is raised to height h above the Earth's surface. If the body is taken to a depth h in a mine, then its weight will:

Which one of the following statements is correct?

The ratio of acceleration due to gravity at a height h above the surface of the earth and at a depth h below the surface of the earth h < radius of earth