A particle is rotated in a vertical circle by connecting it to a light rod of length l and keeping o

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5.Work, Energy, Power and Collision

medium

$A$ particle is rotated in a vertical circle by connecting it to $a$ light rod of length $l$ and keeping the other end of the rod fixed. The minimum speed of the particle when the light rod is horizontal for which the particle will complete the circle is

A

$\sqrt {g{\text{l}}} $

B

$\sqrt {2g{\text{l}}} $

C

$\sqrt {3g{\text{l}}} $

D

none

Solution

$\frac{1}{2} m v^{2}+m g l=\frac{1}{2} \mu^{2},$ for $u_{\min } v=0$

$u_{\min }=\sqrt{2 g l}$

Standard 11

Physics

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