A) \[360{}^\circ \]
B) \[370{}^\circ \]
C) \[390{}^\circ \]
D) \[372{}^\circ \]
Correct Answer: D
Solution :
Sol. [d] 'Gain in 1 h (60 min) = 2 min \[\therefore \] Gain in 1 min \[=\,\frac{2}{60}\,=\,\frac{1}{30}\]min \[\therefore \]Gain in 1 min =\[=\,\frac{1}{30}\,\times \,60\,=\,2\]sec Now clock gain 2 sec in 1 minute, angle traversed by second hand in 1 min = \[360\,{}^\circ \] Angle traversed by second hand in 1 sec \[=\,\frac{360{}^\circ }{60}\,=\,6{}^\circ \] Now, total seconds covered by second hand in one minute = (60 + 2) sec = 62 sec \[\therefore \]Angle traversed by second hand in 62 sec \[=\,62\,\times \,6{}^\circ \,=\,372{}^\circ \]
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