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(D) The angular velocity $\omega$ is given by the formula $\omega = \frac{2\pi}{T}$,where $T$ is the time period.For the hour hand of a clock,the time

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$2 : 1$

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(D) The angular velocity $\omega$ is given by the formula $\omega = \frac{2\pi}{T}$,where $T$ is the time period.For the hour hand of a clock,the time period $T_1 = 12 	ext{ hours}$.For the Earth,the time period $T_2 = 24 	ext{ hours}$.Therefore,the angular velocity of the hour hand is $\omega_1 = \frac{2\pi}{12}$ and the angular velocity of the Earth is $\omega_2 = \frac{2\pi}{24}$.The ratio is $\frac{\omega_1}{\omega_2} = \frac{2\pi / 12}{2\pi / 24} = \frac{24}{12} = 2$.Thus,the ratio $\omega_1 : \omega_2$ is $2 : 1$.

If $\omega_1$ is the angular velocity of the hour hand of a clock and $\omega_2$ is the angular velocity of the Earth,then the ratio $\omega_1 : \omega_2$ is

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