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JEE Main 2021 (17 Mar, Shift 2) · Spring Systems

Spring Systems question from JEE Main 2021 (17 Mar, Shift 2)

Q62JEE Main 2021 · 17 MAR · SHIFT 2Easy

Spring Systems

Two particles A and B of equal masses are suspended from two massless springs of spring constants K1 and K2 respectively. If the maximum velocities during oscillations are equal, the ratio of the amplitude of A and B is

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Answer: (d)

$v_{max} = A\sqrt{\frac{K}{m}}$ ; equal $v_{max}$ and $m$ give $A \propto \frac{1}{\sqrt{K}}$ .
$\frac{A_A}{A_B} = \sqrt{\frac{K_2}{K_1}}$
So the answer is (d) $\sqrt{\frac{K_2}{K_1}}$ .

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