A body crosses the topmost point of a vertical circle with critical speed. What will be its centripetal acceleration when the string is horizontal. (A) g (B) 2g (C) 3g (D) 6g

Consider the formula

v2 = u2+2gh

v2 = (√gl)2 + 2gl

v2 = gl + 2gl

v2 = 3gl

v = (√3gl)

Now,

ac = (v2)/l

ac = 3gl/l

ac = 3g

Hence, when the string is horizontal, centripetal acceleration is 3g

So, the correct option is (C)

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