An object placed at a distance of twice the Earth's radius,

PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation

Problem

2R_E

, from the Earth is allowed to fall to the ground. The mass of the Earth is

M

. In the absence of any frictional forces, which of the following gives the speed at which the object will hit the Earth's surface? (1)

\sqrt{\frac{GM}{2R_E}}

(2)

\sqrt{\frac{GM}{R_E}}

(3)

2\sqrt{\frac{2GM}{R_E}}

(4)

2\sqrt{\frac{GM}{R_E}}