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
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
$1 : 1 : 1$
- B
$\sqrt 2:\sqrt 2:1$
- C
$1 : \sqrt 2 : 1$
- D
$1 : 2 : \sqrt 2$
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