Work Energy And Power Question 62

Question: If $ W_1,W_2 $ and $ W_3 $ represent the work done in moving a particle from A to B along three different paths 1, 2 and 3 respectively (as shown) in the gravitational field of a point mass m, find the correct relation between $ W_1,W_2 $ and $ W_3 $ [IIT-JEE Screening 2003]

Options:

A) $ W_1\gt W_2\gt W_3 $

B) $ W_1=W_2=W_3 $

C) $ W_1\lt W_2\lt W_3 $

D) $ W_2\gt W_1\gt W_3 $

Show Answer

Answer:

Correct Answer: B

Solution:

Gravitational force is a conservative force and work done against it is a point function i.e. does not depend on the path.