Question

The ratio of angular velocity of rotation of minute hand of a clock with the angular velocity of rotation of the earth about its own axis is

• A. 12
• B. 6
• C. 24
• D. none of these

Answer 1

The correct option is C 24

Let ${\omega }_m$ be the angular velocity of the minute hand of the clock and ${\omega }_e$ be the angular velocity of earth.

${\omega }_m=\frac{2\pi }{T}=\frac{2\pi }{60\times 60}$

${\omega }_e=\frac{2\pi }{24\times 60\times 60}$

$\frac{{\omega }_m}{{\omega }_e}=\frac{2\pi }{60\times 60}\times \frac{24\times 60\times 60}{2\pi }=24$