Gravitation Tes...

If R$$=$$radius of the earth and g $$=$$acceleration due to gravity on the surface of the earth, the acceleration due to gravity at a distance (r<R) from the centre of the earth is proportional to

If R$$=$$radius of the earth and g$$=$$acceleration due to gravity on the surface of the earth, the acceleration due to gravity at a distance (r>R) from the centre of the earth is proportional to

The height at which the value of acceleration due to gravity becomes $$50$$% of that at the surface of the earth (Radius of the earth $$ = 6400$$ km) is nearly

The acceleration due to gravity on the surface of moon is $$1/6$$ that on the earth and the diameter of the earth is $$4$$ times the diameter of the moon. The rough ratio of the escape velocity of the moon to that of the earth is

If the radius of earth decreases by $$10\%$$, the mass remaining unchanged, then the acceleration due to gravity

What is the escape velocity from the surface of the earth of radius $$R$$ and density $$\rho $$ ?

The ratio of the radii of planets A and B is $$K_{1}$$ and ratio of accelerations due to gravity on them is $$K_{2}$$ The ratio of escape velocities from them will be:

A spaceship is launched into a circular orbit of radius $$R$$ close to the surface of earth. The additional velocity to be imparted to the spaceship in the orbit to overcome the earth's gravitational pull is : $$($$ $$g =$$ acceleration due to gravity $$)$$

If the radius of earth were to shrink by one percent, its mass remaining the same, the acceleration due to gravity on the earth's surface would

A tunnel is dug along a diameter of the Earth. The force on a particle of mass $$m$$ placed in the tunnel at a distance $$x$$  from the centre is: