Question

In twenty minutes, the angular displacement of the minute hand of a wrist watch is

• A. $\frac{\pi }{90}rad$
• B. $\frac{\pi }{30}rad$
• C. $\frac{\pi }{3}rad$
• D. $\frac{2\pi }{3}rad$

Answer 1

The correct option is D $\frac{2\pi }{3}rad$

In twenty minutes the clock position will be:-
Total $60$ minutes $=2\pi$ radians
Angular displacement of $20$ minutes $=\frac{1}{3}\times 2\pi =\frac{2\pi }{3}rad$