jee-main 2003 Q35

jee-main · India Not Maths
Two particles $A$ and $B$ of equal masses are suspended from two massless springs of spring constant $\mathrm{k}_{1}$ and $\mathrm{k}_{2}$, respectively. If the maximum velocities, during oscillation, are equal, the ratio of amplitude of $A$ and $B$ is
(1) $\sqrt{\frac{\mathrm{k}_{1}}{\mathrm{k}_{2}}}$
(2) $\frac{\mathrm{k}_{2}}{\mathrm{k}_{1}}$
(3) $\sqrt{\frac{\mathrm{k}_{2}}{\mathrm{k}_{1}}}$
(4) $\frac{\mathrm{k}_{1}}{\mathrm{k}_{2}}$
Two particles $A$ and $B$ of equal masses are suspended from two massless springs of spring constant $\mathrm{k}_{1}$ and $\mathrm{k}_{2}$, respectively. If the maximum velocities, during oscillation, are equal, the ratio of amplitude of $A$ and $B$ is\\
(1) $\sqrt{\frac{\mathrm{k}_{1}}{\mathrm{k}_{2}}}$\\
(2) $\frac{\mathrm{k}_{2}}{\mathrm{k}_{1}}$\\
(3) $\sqrt{\frac{\mathrm{k}_{2}}{\mathrm{k}_{1}}}$\\
(4) $\frac{\mathrm{k}_{1}}{\mathrm{k}_{2}}$