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JEE Main 202330 JanuaryEvening Shift
Exam
JEE Main
Year
2023
Date
30 January
Shift
Evening Shift
Subject
Physics
Chapter
Oscillations

JEE Main 2023 · 30 January · Evening Shift · Physics · Oscillations

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 1kg1kg, the angular frequency is ω1{\omega}_{1}. When the mass block is 2kg2kg the angular frequency is ω2{\omega}_{2}. The ratio ω2ω1\dfrac{{\omega}_{2}}{{\omega}_{1}} is :

For a simple harmonic motion in a mass spring system shown, the surface is frictionless. When the mass of the block is

Options

  1. A2\sqrt{2}
  2. B12\dfrac{1}{\sqrt{2}}
  3. C22
  4. D12\dfrac{1}{2}

Correct answer

B. 12\dfrac{1}{\sqrt{2}}

Step-by-step solution

In case of SHM in spring-block system, angular frequency is given by, ω=km\omega = \sqrt{\dfrac{k}{m}}.

Therefore,

ω2ω1=m1m2=12\dfrac{{\omega}_{2}}{{\omega}_{1}} = \sqrt{\dfrac{{m}_{1}}{{m}_{2}}} = \dfrac{1}{\sqrt{2}}

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