1.

The ratio of kinetic energy to the potential energy of a particle executing SHM at a distance equal to half its amplitude, the distance being measured from its equilibrium position is :

Answer»

`4:1`
`8:1`
`3:1`
`2:1`

SOLUTION :Fsor SHM : P.E. `=(1)/(2)m omega^(2)x^(2)`
and `K.E.=(1)/(2)m omega^(2)(a^(2)-x^(2))`
For `x=(a)/(2)` then the RATIO is
`(K.E.)/(P.E.)=(1//2m omega^(2)(a^(2)-a^(2)//4))/(1//2m omega^(2)(a^(2)//4))`
`(K.E.)/(P.E.)=(3a^(2)//4)/(a^(2)//4)=3:1`
So CORRECT CHOICE is ( c ).


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