ExamBro
ExamBro
MHT CET · Physics · Rotational Motion

Two discs \(A\) and \(B\) of same material and thickness have radii \(R\) and \(3 R\) respectively. Their moments of inertia about their axis will be in the ratio

  1. A \(3: 1\)
  2. B \(1: 9\)
  3. C 1:81
  4. D \(1: 27\)
Verified Solution

Answer & Solution

Correct Answer

(C) 1:81

Step-by-step Solution

Detailed explanation

\(M = \rho V = \rho \pi R^2 t\) \(I = \frac{1}{2}MR^2 = \frac{1}{2}(\rho \pi R^2 t)R^2 \Rightarrow I \propto R^4\)