A) \[\sqrt{500}\]m/s
B) \[\sqrt{50}\]m/s
C) \[\sqrt{30}\]m/s
D) \[\sqrt{60}\]m/s
Correct Answer: B
Solution :
Centripetal force for a body moving in circular path is given by \[{{F}_{c}}=\frac{m{{v}^{2}}}{r}\] \[v={{\left[ \frac{{{F}_{c}}r}{m} \right]}^{1/2}}\] Putting \[F=10N,m=100g={{10}^{-1}}kg,\] \[r=50\text{ }cm=5\times {{10}^{-1}}m\] \[v=\sqrt{\left[ \frac{10\times {{10}^{-1}}\times 5}{{{10}^{-1}}} \right]}\] \[v=\sqrt{50}\,m/s\]
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