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MHT CET · Physics · Rotational Motion

Two particles having mass ' \(M\) ' and ' \(m\) ' are moving in a circular path with radius ' \(R\) ' and ' \(r\) ' respectively. The time period for both the particles is same. The ratio of angular velocity of the first particle to the second particle will be

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

Answer & Solution

Correct Answer

(A) \(1: 1\)

Step-by-step Solution

Detailed explanation

\(\begin{aligned} & \quad \mathrm{T}=\frac{2 \pi}{\omega} \\ & \quad \text { Hence, } \mathrm{T}_1=\mathrm{T}_2 \\ & \Rightarrow \omega_1=\omega_2 \\ & \therefore \quad \frac{\omega_1}{\omega_2}=\frac{1}{1}\end{aligned}\)