Student Login

Home›Chapters›Gravitation PYQs›Escape Velocity›Question 71

NEET 2013 · Escape Velocity

Escape Velocity question from NEET 2013

Q71NEET 2013Medium

Escape Velocity

A particle of mass 'm' is kept at rest at a height 3R from the surface of earth, where 'R' is radius of earth and 'M' is mass of earth. The minimum speed with which it should be projected, so that it does not return back, is

(g is acceleration due to gravity on the surface of earth)

Show answer and solution

Answer: (a)

Height $3R$ means distance $r = 4R$ from the centre.
Escape speed there: $v = \sqrt{\frac{2GM}{4R}} = \left(\frac{GM}{2R}\right)^{1/2}$ .
So the answer is (a) $\left(\frac{GM}{2R}\right)^{1/2}$ .

Report a mistake

More questions on Escape Velocity

If ve is escape velocity and vo is orbital velocity of a satellite for orbit close to the…NEET 2012 (AIPMT, Mains)
The mass of a spaceship is 1000 kg. It is to be launched from the earth's surface out…JEE Main 2012 (AIEEE)
A particle of mass m is thrown upwards from the surface of the earth, with a velocity u…NEET 2011 (AIPMT, Mains)
A planet in a distant solar system is 10 times more massive than the earth and its radius…JEE Main 2008 (AIEEE)
The earth is assumed to be a sphere of radius R. A platform is arranged at a height R…NEET 2006 (AIPMT)
The escape velocity for a body projected vertically upwards from the surface of earth is…JEE Main 2003 (AIEEE)
The kinetic energy needed to project a body of mass m from the earth surface (radius R)…JEE Main 2002 (AIEEE)
The escape velocity of a body depends upon mass asJEE Main 2002 (AIEEE)