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A metre stick is held vertically with on...

A metre stick is held vertically with one end on the floor and is then allowed to fall. If the end touching the floor is not allowed to slip, the other end will hit the ground with a velocity of `(g=9.8"m/s"^(2))`

A

3.2m/s

B

5.4m/s

C

7.6 m/s

D

9.2m/s

Text Solution

Verified by Experts

The correct Answer is:
B
Law of conservation energy – `mgh= (1)/(2) I omega^(2)`
`rArr mg ((l)/(2)) = (1)/(2) I omega^(2)= (1)/(2) (ml^(2))/(3) ((v_(B))/(l.l))^(2)`
`rArr v_(B)= sqrt(3gl) = sqrt(3 xx 9.8 xx 1)= 5.4 m//s`
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