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प्रश्न
Show that the minute-hand of clock gains 5°30' on the hour-hand in one minute.
उत्तर
Angle made by hour-hand in one minute
= `(360°)/(12xx60)=(1/2)^circ`
Angle made by minute-hand in one minute
= `(360°)/60` = 6°
∴ gain of minute-hand on the hour-hand in one minute
= 6° − `((1)/2)^circ`
= `(6^circ xx 2)/1 − ((1)/2)^circ`
= `((12 - 1)/2)^circ`
= `((11)/2)^circ` ...[∵ `((11)/2)^circ` is converted into mixed fraction]
= `5.5^circ` or `(5 1/2)^circ`
= 5°30'
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