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Figure shown the kinetic energy K of a p...

Figure shown the kinetic energy `K` of a pendulum versus. its angle `theta` from the verticle. The pendulum bob has mass `0.2kg` .The length of the pendulum is equal to `(g = 10m//s^(2))`
,

A

`2.0 m`

B

`1.8 m`

C

`1.5 m`

D

`1.2 m`

Text Solution

Verified by Experts

The correct Answer is:
C
`(1)/(2) mV_(m)^(2) = 15 xx 10^(-3)`
`V_(m) = sqrt(0.150) m//s`
` A omega = sqrt(0.150) m//s`
`L theta _(m) . sqrt((g)/(L)) = sqrt(0.150) m//s`
`sqrt(gL) = sqrt(0.150)/(100 xx 10^(-3)) rArr L = (0.150 )/(0.1) = 1.5 m`
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