Home
Class 12
PHYSICS
The escape velocity of a sphere of mass ...

The escape velocity of a sphere of mass `m` is given by

A

`sqrt((2GM)/R)`

B

`2sqrt((GM)/R)`

C

`sqrt((2GmM)/R)`

D

`sqrt((GM)/R)`

Text Solution

Verified by Experts

The correct Answer is:
A
`1/2mv^2-(GmM)/R =0`
Hence, `v=sqrt((2GM)/R)`
Promotional Banner

Similar Questions

Explore conceptually related problems

The escape velocity of a particle of mass m varies as

The escape velocity of a body depeds upon mass as

Find the escape velocity of particle of mass m which is situated at a radial distance r (from centre of earth) above the earth's surface. M is the mass earth.

A body of mass 2kg is thrown into space with escape velocity 11.2km/s, the escape velocity for another body of mass 5 kg will be .

Two bodies each of mass 1kg are at a distance of 1m. The escape velocity of a body of mass 1 kg which is midway between them is

The escape velocity of a body from the earth is V_(e) . The escape velocity of a planet whose mass and radius are twice those of the earth is

Statement I: If a sphere of mass m moving with speed u undergoes a perfectly elastic head-on collision with another sphere of heavier mass M at rest ( M gt m ), then direction of velocity of sphere of mass m is reversed due to collision (no external force acts on system of two spheres). Statement II: During a collision of spheres of unequal masses, the heavier mass exerts more force on the lighter mass in comparison to the force which lighter mass exerts on the heavier one,

Escape velocity on earth is 11.2 "kms"^(-1) what would be the escape velocity on a planet whose mass is 1000 times and radius is 10 times that of earth ?