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 $W_1, W_2 \, \, and \, \, W_ 3$

• A. $W_1> W_2 > W_ 3$
• B. $W_1= W_2 = W_ 3$
• C. $W_1< W_2 < W_ 3$
• D. $W_2> W_1 > W_ 3$

Answer 1

Answer: (B)

$W_1= W_2 = W_ 3$

Answer 2

Gravitational field is a conservative force field. In a conservative force field work done is path independent
$\therefore \, \, \, \, \, \, W_1= W_2 = W_ 3$