A gravitational field is present in a region and a mass is shifted from $A$ to $B$ through different paths…
A gravitational field is present in a region and a mass is shifted from $A$ to $B$ through different paths as shown. If $W_1, W_2$ and $W_3$ represent the work done by the gravitational force along the respective paths, then
$\mathrm{W}_1=\mathrm{W}_2=\mathrm{W}_3$
$\mathrm{W}_1>\mathrm{W}_2>\mathrm{W}_3$
$\mathrm{W}_1>\mathrm{W}_3>\mathrm{W}_2$
$\mathrm{W}_1 < \mathrm{W}_2 < \mathrm{W}_3$
Solution
Since, gravitational force is a conservative force and hence the work done is independent of the paths covered between points $A$ and $B$.
