Question

For the path $PQR$ in a conservative force field (figure), the amount of work done in carrying a body from $P$ to $Q$ & from $Q$ to $R$ are $3\text{J}$ & $2\text{J}$ respectively. The work done in carrying the body from $P$ to $R$ will be

• A. $7\text{J}$
• B. $3\text{J}$
• C. $5\text{J}$
• D. zero

Answer 1

The correct option is C $5\text{J}$

We know, work done by conservative force is independent of path.
$\therefore$ Work done (from $P$ to $R$) = Work done (from $P$ to $Q$) + Work done (from $Q$ to $R$)
$=3\text{J}+2\text{J}=5\text{J}$