The work done to raise a mass m from the surface of the earth to a height h , which is equal to the radius of the earth, is: - Physics MCQ NEET 2019 2026 | ExamTest.live | ExamTest.live

Home Tests Search Rank Profile

mediumMCQNEET 20192026Physics

1 attempts0% success rate4 marks (−1)

The work done to raise a mass m from the surface of the earth to a height h, which is equal to the radius of the earth, is:

A $m g R$
B $2 m g R$
C $\frac{1}{2} m g R$
D $\frac{3}{2} m g R$

Solution & Step-by-step Explanation

Work done (W) is the change in gravitational potential energy: W = U_{f} - U_{i} . U = - \frac{GM m}{r} Initial distance r_{i} = R; Final distance r_{f} = R + h = R + R = 2 R . W = (- \frac{GM m}{2 R}) - (- \frac{GM m}{R}) = \frac{GM m}{2 R} Since g = \frac{GM}{R ^{2}}, we have GM = g R^{2} . W = \frac{( g R ^{2} ) m}{2 R} = \frac{1}{2} m g R

Practice this question

Try it yourself before checking the explanation above.

The work done to raise a mass m from the surface of the earth to a height h, which is equal to the radius of the earth, is:

A

m g R

B

2 m g R

C

\frac{1}{2} m g R

D

\frac{3}{2} m g R

Share This Question

Mechanics Gravitation

Related Questions

Which one of the following statements is true?

Which of the following statements is not correct?

Which one of the following statements is correct?

The product formed by the reaction of an aldehyde with a primary amine is:

Which part of the tobacco plant is infected by Meloidogyne incognita?

The term ecosystem was coined by:

Ready for a Full Test?

Practice with timed mock tests and track your performance across Physics.

Browse Tests Leaderboard

Discussion