Two spheres whose radii are in the ratio \( 1: 2 \) are moving with velocities in the ratio \( 3....

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Two spheres whose radii are in the ratio \( 1: 2 \) are
\( \mathrm{P} \)
moving with velocities in the ratio \( 3: 4 \). If their densities are in the ratio \( 3: 2 \), then find the ratio of their kinetic energies.
(1) \( \frac{27}{456} \)
(2) \( \frac{9}{144} \)
(3) \( \frac{100}{251} \)
(4) \( \frac{27}{256} \)


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