WBJEE · Physics · Rotational Motion
Three identical square plates rotate about the axes shown in the figure in such a way that their kinetic energies are equal. Each of the rotation axes passes through the centre of the square. Then the ratio of angular speeds \(\omega_{1}: \omega_{2}: \omega_{3}\) is 
- A 01:01:01
- B \(\sqrt{2}: \sqrt{2}: 1\)
- C \(1: \sqrt{2}: 1\)
- D \(1: 2: \sqrt{2}\)
Answer & Solution
Correct Answer
(B) \(\sqrt{2}: \sqrt{2}: 1\)
Step-by-step Solution
Detailed explanation
We know that \[ K=\frac{1}{2} \mathrm{l} \omega^{2} \] where \(K=\) kinetic energy \[ \begin{array}{l} I=\text { moment of inertia } \\ \omega=\text { angular speed } \end{array} \] So, \(\quad \omega \propto \frac{1}{\sqrt{I}}\)…
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