In the figure shown surfaces are smooth and blocks `A` and `B` have same mass `m`. The two bodies are displaced right and released. It is found that bodies move according to the equation `x_(A)=A sin(omegat+phi)`, `X_(B)=2Asin(omegat+phi)`

Options

A. `(K_(1))/(K_(2))=(3)/(2)`
B. `(K_(1))/(K_(2))=(1)/(2)`
C. `(K_(1))/(K_(2))=1`
D. `(K_(1))/(K_(2))=2`

Explanation

`K_(2)A=omega^(2)(2A)`
`K_(1)A-K_(2)A=omega^(2)A`
`rArr (K_(2))/(K_(1)-K_(2))=(2)/(1)`
`rArr (K_(1))/(K_(2))=(3)/(2)`