AIIMS 2010
- Exam
- AIIMS
- Year
- 2010
- Subject
- Physics
- Chapter
- Units and Dimensions
AIIMS 2010 · Physics · Units and Dimensions
Which of the following pairs does not have same dimensions ?
Which of the following pairs does not have same dimensions ?
Options
- Aimpulse and momentum
- Bmoment of inertia and moment of force
- Cangular momentum and Planck's constant
- Dwork and torque.
Correct answer
B. moment of inertia and moment of force
Step-by-step solution
Impulse
= change in momentum
[Impulse Momentum
Angular momentum,
Planck's constant, energy time
change of momentum
.
Work, Torque,
Moment of inertia,
Moment of force, distance force
\begin{aligned}
& \quad=\text{ distance } \times \frac{\text{ change of momentum }}{\text{ time }} \\
& \therefore \quad[\mathrm{I}] \neq[\tau] .
\end{aligned}
Therefore, moment of inertia and moment of force have different dimensions.