A) \[\text{5}\,\text{cm}\]
B) \[\frac{15}{4}\,\text{cm}\]
C) \[\frac{10}{3}\,\text{cm}\]
D) \[\text{2}\,\text{cm}\]
Correct Answer: D
Solution :
Potential energy of the body at point A = kinetic energy of the body at point B \[mgh=\frac{1}{2}m{{v}^{2}}\] \[gh=\frac{{{v}^{2}}}{2}\] Velocity at lowest point in a vertical circle \[v=\sqrt{5Rg}\] \[gh=\frac{5Rg}{2}\] \[R=\frac{2h}{5}\] But \[h=5cm\] \[\therefore \] \[R=\frac{2\times 5}{5}=2cm\]
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