Circular Motion

Step 1: Angular velocity of the hour hand
The hour hand of a clock completes one full revolution ( 360‌∘ or 2π radians) in 12 hours.
ω‌hour hand ‌=‌

2π

12‌ hours ‌

=‌

π

6‌ hours ‌

Step 2: Angular velocity of Earth's rotation
The Earth completes one full rotation ( 360∘ or 2π radians) in 24 hours.
ω‌Earth ‌=‌

2π

24‌ hours ‌

=‌

π

12‌ hours ‌

Step 3: Ratio of angular velocities
‌‌

ω‌hour hand ‌

ω‌Earth ‌

=‌

‌ π 6

π 12

=‌

12

6

=2
‌‌ Ratio ‌=2:1
Correct Option: B) 2:1