If the radius of earth shrinks to ηR (η < 1), where R is the radius of earth, then the time period of rotation of earth about its axis will become

Engineering

Physics

Conservation of Angular Momentum

Question

24η hour

24η² hour

$\frac{24}{η}$ hour

$\frac{24}{η^{2}}$ hour

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I₁ω₁ = I₂ω₂
$\frac{2}{5}$ mR² $\frac{2 π}{24}$ = $\frac{2}{6}$ m(rR)² $\frac{2 π}{T'}$
T' = 24η²

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