Question

Which pair of following quantities has dimensions different from each other.

• A. Impulse and linear momentum
• B. Planck's constant and angular momentum
• C. Moment of inertia and moment to force
• D. Young's modulus and pressure

Answer 1

Answer: (C)

Moment of inertia and moment to force

Moment of inertia $=\frac{1}{2}\times mass\times {\left(Radiusofgyration\right)}^2=\left[M^1{L}^2{T}^0\right]$

Moment of force $=$ torque $=N.m=$$\left[M^1{L}^2{T}^{-2}\right]$

Both are different from each other.