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  • If the earth suddenly shrinks to   th of its original volume with its mass rema

If the earth suddenly shrinks to  \frac{1}{64} th of its original volume with its mass remaining the same,the period of rotation of earth becomes \frac{24}{x}h  The value of x is _________

Option: 1

16


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

By AMC
\begin{aligned} & \frac{2}{5} \mathrm{MR}^2 \omega_1^2=\frac{2}{5} \mathrm{M}\left(\frac{\mathrm{R}}{4}\right)^2 \omega_2 \\ & \frac{\omega_1}{\omega_2}=\frac{1}{16}=\frac{\mathrm{T}_2}{\mathrm{~T}_1}=\frac{\mathrm{T}_2}{24} \\ & \mathrm{~T}_2=\frac{24}{16} \quad \therefore \mathrm{x}=16 \text { Ans. } \end{aligned}

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manish

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