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A body of mass ‘m’ is tied to a string and revolved in a vertical circle of radius R. It has critical speed at its highest point, then match the following
Set-I (position) Set-II (speed (V) or tension (T))
a Lowest point e T = 6 mg
b Highest point f T = 3 mg
c When string is horizontal g $V = \sqrt{R g}$
d When string makes 60⁰ with downward vertical h $V = \sqrt{4 R g}$

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a-h; b-g; c-f; d-e

a-g; b-a; c-f; d-h

a-e; b-g; c-f; d-h

a-e; b-g; c-h; d-f

answer is A.

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Detailed Solution

$T = \frac{m v^{2}}{r} + m g \cos θ$ and $v^{2} = u^{2} - 2 g r \cos θ$

Where $u = \sqrt{5 g r}$

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