QJEEM22Phb07f: JEE Main 2022 Physics - Class 11 JEEM22Phb07f Solution: Two massless springs with spring constants 2 k and 9 k, carry…

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QJEEM22Phb07f: JEE Main 2022 Physics - Class 11 JEEM22Phb07f Solution: Two massless springs with spring constants 2 k and 9 k, carry…

Two massless springs with spring constants 2 k and 9 k, carry 50 g and 100 g masses at their free ends. These two masses oscillate vertically such that their maximum velocities are equal. Then, the ratio of their respective amplitudes will be :

Multiple Choice Options

A 1:02
B 3:02
C 3:01
D 2:03

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Accepted Answer

$ω_{1} A_{1} = ω_{2} A_{2}$

$\Rightarrow \frac{A_{1}}{A_{2}} = \frac{ω_{2}}{ω_{1}}$

$= \sqrt{\frac{k_{2}}{m_{2}}} \times \sqrt{\frac{m_{1}}{k_{1}}} = \sqrt{\frac{9 k}{100} \times \frac{50}{2 k}} = \frac{3}{2}$

QJEEM22Phb07f: JEE Main 2022 Physics - Class 11 JEEM22Phb07f Solution: Two massless springs with spring constants 2 k and 9 k, carry…

Multiple Choice Options

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