Question

For the path $PQR$ in a conservative force field, the amount of work done in carrying a body from $P$ to $Q$ & from $Q$ to $R$ are $5J$ & $2J$ respectively. The work done in carrying the body from $P$ to $R$ will be-

• A. $7J$
• B. $3J$
• C. $\sqrt{21}J$
• D. $Zero$

Answer 1

The correct option is A $7J$

For a conservative force field the work done is independent of the path taken.

So, $W_{PR}=W_{PQ}+W_{QR}$

$\Rightarrow W_{PR}=5+2=7J$

Hence, correct answer is option $A$