What should be the velocity of earth due to rotation about its own axis so that the weight at eq...

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What should be the velocity of earth due to rotation about its own axis so that the weight at equator become \( 3 / 5 \) of initial value. Radius of earth on equator is \( 6400 \mathrm{~km} \)
[AMU 1999]
(a) \( 7.4 \times 10^{-4} \mathrm{rad} / \mathrm{sec} \)
(b) \( 6.7 \times 10^{-4} \mathrm{rad} / \mathrm{sec} \)
(c) \( 7.8 \times 10^{-4} \mathrm{rad} / \mathrm{sec} \)
(d) \( 8.7 \times 10^{-4} \mathrm{rad} / \mathrm{sec} \)
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