Two spring constant `1000Nm^(-1)` and `2000Nm^(-1)` are ateched with same time .They will have potential energy is the value is

Options

A. `2:1`
B. `2^(2):1^(2)`
C. `1:2`
D. `1^(2):2^(2)`

Answer

A

Explanation

`U = (1)/(2) kx^(2) = (1)/(2) k((F)/(k))^(2) = (F^(2))/(2k)`
`U_(1) xx k_(1) = U_(2) xx k_(2)` or `(U_(1))/(U_(2)) = (k_(2))/(k_(1)) = (2000)/(1000) = (2)/(1)`