JEE PYQ: Oscillations Question 6
Question 6 - 2021 (17 Mar 2021 Shift 2)
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) $\frac{K_2}{K_1}$
(2) $\frac{K_1}{K_2}$
(3) $\sqrt{\frac{K_1}{K_2}}$
(4) $\sqrt{\frac{K_2}{K_1}}$
Show Answer
Answer: (4)
Solution
$A_1\omega_1 = A_2\omega_2$. $A_1\sqrt{\frac{k_1}{m}} = A_2\sqrt{\frac{k_2}{m}}$. $\frac{A_1}{A_2} = \sqrt{\frac{k_2}{k_1}}$.
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