Question

When a cock shows 4 o'clock, how much angle do its minute and hour needles make ?

• A. ${120}^0$
• B. $\frac{\pi }{3}$rad
• C. $\frac{2\pi }{3}$
• D. ${160}^0$

Answer 1

The correct option is A ${120}^0$

The angle between two consecutive hour marks $=\frac{{360}^o}{12}={30}^o$

Here number of hour marks between minute and hour hand $=4$

So angle $=4\times {30}^0={120}^o$