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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 ₁: ₂: ₃ is

Options

  1. A01:01:01
  2. B2 : 2 : 1
  3. C1: 2 : 1
  4. D1: 2: 2

Correct answer

B. 2 : 2 : 1

Step-by-step solution

We know that K= 1 2 l ² where K= kinetic energy array l I= moment of inertia = angular speed array So, 1 I aligned ₁: ₂: ₃ &= 1 I₁ : 1 I₂ : 1 I₃ &= 1 1 : 1 1 : 1 2 = 2 : 2 : 1 aligned

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