A) \[\frac{3\pi }{2}\] radians
B) \[\frac{5\pi }{12}\] radians
C) \[\frac{3\pi }{8}\] radians
D) \[\frac{7\pi }{8}\] radians
Correct Answer: B
Solution :
Angle traced by the hourly in \[\frac{7}{2}\] hours \[={{\left( \frac{360}{12}\times \frac{7}{2} \right)}^{o}}={{105}^{o}}\] Angle traced by minute hand in 30 minutes \[=\frac{360}{60}\times 30={{180}^{o}}\] \[\therefore\] Required angle \[=180-105={{75}^{o}}\] \[=75\times \frac{\pi }{180}=\frac{5\pi }{12}\] radians
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