Two particles A and B


Two particles A and B of equal masses are suspended from two massless springs of spring constants $K_{1}$ and $K_{2}$ respectively.If the maximum velocities during oscillations are equal, the ratio of the amplitude of $A$ and $B$ is

  1. $\frac{\mathrm{K}_{2}}{\mathrm{~K}_{1}}$

  2. $\frac{\mathrm{K}_{1}}{\mathrm{~K}_{2}}$

  3. $\sqrt{\frac{\mathrm{K}_{1}}{\mathrm{~K}_{2}}}$

  4. $\sqrt{\frac{\mathrm{K}_{2}}{\mathrm{~K}_{1}}}$

Correct Option: , 4


(4) $\mathrm{A}_{1} \omega_{1}=\mathrm{A}_{2} \omega_{2}$

$A_{1} \sqrt{\frac{k_{1}}{m}}=A_{2} \sqrt{\frac{k_{2}}{m}}$


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