Question:
The ratio of angular speeds of the minute hand and second hand of a watch is
The ratio of angular speeds of the minute hand and second hand of a watch is
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Smaller time period → larger angular speed.
Updated On: Apr 21, 2026
- \(1:12 \)
- \(1:6 \)
- \(1:60 \)
- \(12:1 \)
- \(60:1 \)
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The Correct Option is C
Solution and Explanation
Concept:
Angular speed \( \omega = \frac{2\pi}{T} \)
Step 1: Periods.
Minute hand: \( T=3600\,s \)
Second hand: \( T=60\,s \)
Step 2: Ratio.
\[ \omega_m : \omega_s = \frac{1}{3600} : \frac{1}{60} = 1:60 \]
Step 1: Periods.
Minute hand: \( T=3600\,s \)
Second hand: \( T=60\,s \)
Step 2: Ratio.
\[ \omega_m : \omega_s = \frac{1}{3600} : \frac{1}{60} = 1:60 \]
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