If W_1 , , W_2 and W_3 represent the work done in moving a partic… - Vidyadip

MCQ

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
${W_1} > {W_2} > {W_3}$
✓
${W_1} = {W_2} = {W_3}$
C
${W_1} < {W_2} < {W_3}$
D
${W_2} > {W_1} > {W_3}$

✓

Answer

Correct option: B.

${W_1} = {W_2} = {W_3}$

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

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