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A metre scale is standing vertically on ...

A metre scale is standing vertically on a horizontal table on one of its end. It now falls on the table without slipping. The velocity with which the free end of the metre scale strikes the table is
`["Given "I=(mL^(2))/(3)]`

A

9.8 m/s

B

1 m/s

C

4.5 m/s

D

5.4 m/s

Text Solution

Verified by Experts

The correct Answer is:
D
Loss in P.E. =Gain in K.E.
`therefore mgh=(1)/(2)Iomega^(2)=(1)/(2)(ML^(2))/(3)omega^(2)`

`therefore gxx0.5=(1)/(2)xx(1)/(3)xx1^(2)xxomega^(2)`
`therefore omega=sqrt(3g)=sqrt(3xx9.8)=sqrt(29.4)=5.4`
`therefore v=romega=1xx omega=1xx5.4=5.4m//s`
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