WBJEE · Physics · Units and Dimensions
In which of the following pairs, the two physical quantities have different dimensions?
- A Planck's constant and angular momentum
- B impulse and linear momentum
- C Moment of inertia and moment of a force
- D Energy and torque
Answer & Solution
Correct Answer
(C) Moment of inertia and moment of a force
Step-by-step Solution
Detailed explanation
(a) Planck's constant = Energy \(=\left[\mathrm{ML}^{2} \mathrm{T}^{-1}\right]\) Angular momentum = Moment of inertia Angular velocity \(=\left[\mathrm{ML}^{2}\right] \times\left[\mathrm{T}^{-1}\right)=\left[\mathrm{ML}^{2} \mathrm{T}^{-1}\right]\) (b) Impulse = Force x Time…
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