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»

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

Solution :Potential energy `U= (1)/(2) KX^(2)= (1)/(2)k (A^(2))/(4)` Where `x = (A)/(2)`
Kinetic energy `K = (1)/(2) kA^(2)- (1)/(2) k(A^(2))/(4)= (3)/(8) kA^(2)`
Hence `(K)/(U)= (3//8)/(1//8)= 3: 1`


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