Two particles (A) and (B) of equal masses are suspended from two massless spring of spring of spring constant `k_(1)` and `k_(2)`, respectively, the ratio of amplitude of (A) and (B) is.

Options

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

Answer

D

Explanation

Maximum velocity `(omega A)` are equal: `omega_(1) A_(1) = omega_(2) A_(2)`
`rArr (A_(1))/(A_(2)) = (omega_(2))/(omega_(1)) = sqrt((K_(2))/(K_(1))) (:' omega = sqrt(K//m))`.