Which of the following quantities has the same unit as the product of pressure and volume of a gas?
A. power B. acceleration C. workdone D. force
Correct Answer: C
Explanation
product of pressure and volume \(=\mathrm{PxV}\) in unit form \(\Rightarrow \mathrm{N} / \mathrm{m}^2 \times \mathrm{m}^3=\mathrm{Nm}\) which is the unit of energy or workdone unit of power \(\Rightarrow \mathrm{J} / \mathrm{s}\) or \(\mathrm{W}\) i.e. \(\frac{\mathrm{N}-\mathrm{m}}{\mathrm{s}}\) or \(\mathrm{Nms}^{-1}\) unit of acceleration \(\Rightarrow \mathrm{m} / \mathrm{s}^2\) unit of force \(\Rightarrow \mathrm{kgm} / \mathrm{s}^2\)