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A rod of length l whose lower end is fix...

A rod of length `l` whose lower end is fixed on a horizontal plane, starts toppling from the vertical position. The velocity of the upper end when it hits the ground is.

A

`sqrt(3 gl)`

B

`sqrt(2 gl)`

C

`2sqrt(gl)`

D

`sqrt(gl)`

Text Solution

Verified by Experts

The correct Answer is:
A
As shown in Fig.

Decrease in gr. `P.E. =` Increase In rot. `K.E.`
`mg ((l)/(2)) = (1)/(2)I omega^(2) = (1)/(2) ((ml^(2))/(3))omega^(2)`
`omega = sqrt((3g)/(l))`
Now, `v = r omega = l sqrt((3g)/(l)) = sqrt(3gl)`
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