In a lake, a fish rising vertically to the surface of water uniformly at the rate of \( 3 \mathr...

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In a lake, a fish rising vertically to the surface of water uniformly at the rate of \( 3 \mathrm{~m} / \mathrm{s} \), observes a bird diving vertically towards the water at the rate of \( 9 \mathrm{~m} / \mathrm{s} \). The actual velocity of the dive of the bird is (Given, refractive index of water \( =4 / 3 \) )
(a) \( 3.6 \mathrm{~m} / \mathrm{s} \)
(b) \( 4.5 \mathrm{~m} / \mathrm{s} \)
(c) \( 6.0 \mathrm{~m} / \mathrm{s} \)
(d) \( 12.0 \mathrm{~m} / \mathrm{s} \)
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