Question

Joule second is the unit of

• A. Energy
• B. Power
• C. Angular momentum
• D. Linear momentum

Hint:

To identify the units of physical quantities, understand the relationships between the base quantities involved (e.g., mass, distance, time) and ensure correct unit analysis.

Answer 1

The Correct Option is C

The unit of angular momentum is given by the product of the moment of inertia \( I \) and angular velocity \( \omega \), both of which are measured in SI units. The moment of inertia is measured in \( \text{kg} \cdot \text{m}^2 \), and angular velocity is measured in \( \text{rad/s} \). Therefore, the unit of angular momentum is: \[ \text{Unit of angular momentum} = \text{kg} \cdot \text{m}^2 \cdot \text{rad/s} \] Since \( \text{rad} \) (radian) is a dimensionless unit, the unit of angular momentum is equivalent to \( \text{kg} \cdot \text{m}^2 \cdot \text{s}^{-1} \), which is also known as Joule second (J·s).
Thus, the unit of angular momentum is Joule second.