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A body of mass ' m ' connected to a massless and unstretchable string goes in vertical circle of radius ' R ' under grav…

Q1

A body of mass ' m ' connected to a massless and unstretchable string goes in vertical circle of radius ' R ' under gravity g . The other end of the string is fixed at the center of circle. If velocity at top of circular path is \(n\sqrt{gR}\), where, \(n⩾1\), then ratio of kinetic energy of the body at bottom to that at top of the circle is

[JEE Main 2025, 29 Jan (Shift 1)]

a

\(\frac{n}{n+4}\)

b

\(\frac{{n}^{2}+4}{{n}^{2}}\)

c

\(\frac{{n}^{2}}{{n}^{2}+4}\)

d

\(\frac{n+4}{n}\)

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