Q. 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) $w_{2} > w_{1} > w_{3}$
Explanation

(b) Gravitational field is a conservative force field. In a conservative force field work done is path independent.
$\therefore\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ W_{1} = W_{2} = W_{3}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.