Question

Find the angle through which an hour hand of a clock turns in one minute.

• A. ${60}^{\circ }$
• B. ${\frac{1}{2}}^{\circ }$
• C. $1^{\circ }$
• D. ${30}^{\circ }$

Answer 1

The correct option is B ${\frac{1}{2}}^{\circ }$

Time taken by the hour hand of a clock to turn ${360}^{\circ }=12$ hours

Angle of rotation of hour hand in an hour $=\frac{360}{12}={30}^{\circ }$

One hour $=60$ minutes

Hence,
One minute $=\frac{1}{60}$ hour

Angle of rotation of the hour hand in $1$ minute $=30\times \frac{1}{60}$

$={\frac{1}{2}}^{\circ }$

Angle turned by the hour hand in $1$ minute is ${\frac{1}{2}}^{\circ }$