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QJEEM23Ph2322: JEE Main 2023 Physics - Class 11 JEEM23Ph2322 Solution: For a simple harmonic motion in a mass spring system shown, the …

For a simple harmonic motion in a mass spring system shown, the surface is frictionless. When the mass of the block is $1 \mathrm{~kg}$ , the angular frequency is $\omega_{1}$ . When the mass block is $2 \mathrm{~kg}$ the angular frequency is $\omega_{2}$ . The ratio $\omega_{2} / \omega_{1}$ is

JEE Main 2023 (Online) 30th January Evening Shift Physics - Simple Harmonic Motion Question 41 English

Multiple Choice Options

A $1 / \sqrt{2}$
B $1 / 2$
C 2
D $\sqrt{2}$

Step-by-Step Verified Solution

$\omega = \sqrt {{K \over m}} \Rightarrow \omega \propto {1 \over {\sqrt m }}$

${{{\omega _2}} \over {{\omega _1}}} = \sqrt {{{{m_1}} \over {{m_2}}}} = \sqrt {{1 \over 2}}$

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