A) \[{{\left( \frac{1}{2} \right)}^{\text{o}}}\]
B) \[{{\left( 3\frac{1}{2} \right)}^{\text{o}}}\]
C) \[{{\text{5}}^{\text{o}}}\]
D) \[{{\left( \text{2}\frac{\text{1}}{\text{2}} \right)}^{\text{o}}}\]
Correct Answer: B
Solution :
We know that, the hour hand completes 1 rotation in 12 hours. i.e., 360° = 12 hours \[\Rightarrow 360{}^\circ =60\times 12\] minutes \[\Rightarrow 1\text{ minute=}{{\left( \frac{360}{60\times 12} \right)}^{\text{o}}}\] \[\therefore \text{5 minutes=}{{\left( \frac{360}{60\times 12}\times 5 \right)}^{\text{o}}}={{\left( \frac{5}{2} \right)}^{\text{o}}}={{\left( 2\frac{1}{2} \right)}^{\text{o}}}\]
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