Question

According to Boyle's law, the product PV remains constant. The SI unit of PV is same as that of

• A. momentum
• B. energy
• C. force
• D. impulse

Hint:

Pressure times volume has the units of force per area times area times length, which is force times length.

Answer 1

The Correct Option is B

Step 1: Use dimensions.
$[P] = ML^{-1}T^{-2}$ and $[V] = L^3$, so $[PV] = ML^2T^{-2}$.

Step 2: Match.
$ML^2T^{-2}$ is the dimension of energy. Momentum is $MLT^{-1}$, force is $MLT^{-2}$, impulse is $MLT^{-1}$.

Final Answer:
Option (B). \[ \boxed{\text{Energy}} \]