Concepts Of Physics MCQ Edition [Volume 1]PhysicsIntroduction to Physics
Determine the dimensions of moment of inertia I . Some of the equations involving related quantities are = ₂ - ₁ t₂ - t₁ , = ₂ - ₁ t₂ - t₁ , = F r and I = mr^2 . The symbols have standard meanings.
Options
- AML
- BML^2
- CML^2 T⁻¹
- DML^2 T⁻²
Correct answer
B. ML^2
Step-by-step solution
From the given equation, I = mr^2 . The dimensional formula for mass m is [M] . The dimensional formula for distance r is [L] . Substituting these dimensions, the dimensional formula for moment of inertia I is [M][L]^2 = [ML^2] .