Two bodies $M$ and $N $ of equal masses are suspended from two separate massless springs of force constants $k_1$ and $k_2$ respectively. If the two bodies oscillate vertically such that their maximum velocities are equal, the ratio of the amplitude $M$ to that of $N$ is
A$\frac{{{k_1}}}{{{k_2}}}$
B$\sqrt {\frac{{{k_1}}}{{{k_2}}}} $
C$\frac{{{k_2}}}{{{k_1}}}$
D$\sqrt {\frac{{{k_2}}}{{{k_1}}}} $
AIEEE 2003,IIT 1988, Medium
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D$\sqrt {\frac{{{k_2}}}{{{k_1}}}} $
d (d) Maximum velocity $ = a\omega = a\sqrt {\frac{k}{m}} $
Given that ${a_1}\sqrt {\frac{{{K_1}}}{m}} = {a_2}\sqrt {\frac{{{K_2}}}{m}} $
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