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Oscillations

JEE Main level, numerical answer, medium

110 of 194

Question 110 of 194

A mass $m$ is suspended from a spring of negligible mass and the system oscillates with a frequency ${f}_{1}.$ The frequency of oscillations if a mass $9m$ is suspended from the same spring is ${f}_{2}.$ The value of $\dfrac{{f}_{1}}{{f}_{2}}$ is _____ .

Show answer and solution

Answer: 3

Frequency of oscillation of a spring-block system is given by,

f=\dfrac{1}{2\pi }\sqrt{\dfrac{k}{m}}

Therefore, for both cases, we can write

{f}_{1}=\dfrac{1}{2\pi }\sqrt{\dfrac{k}{m}}

and

{f}_{2}=\dfrac{1}{2\pi }\sqrt{\dfrac{k}{9m}}

Required ratio,

\dfrac{{f}_{1}}{{f}_{2}}=\sqrt{\dfrac{9}{1}}=\dfrac{3}{1}

JEE Main question paper PDF

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JEE Main 2025 Apr 2 Shift 1 question paper

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More Physics practice

JEE Main Physics practice question on Oscillations (Time Period and Frequency), with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.

A mass mmm is suspended from a spring of negligible mass and the system oscillates with a frequency f1.{f}_{1}.f1​. The frequency of oscillations if a mass 9m9m9m is suspended from the same spring is f2.{f}_{2}.f2​. The value of f1f2\dfrac{{f}_{1}}{{f}_{2}}f2​f1​​ is _____ .

JEE Main question paper PDF

More Physics practice

A mass $m$ is suspended from a spring of negligible mass and the system oscillates with a frequency ${f}_{1}.$ The frequency of oscillations if a mass $9m$ is suspended from the same spring is ${f}_{2}.$ The value of $\dfrac{{f}_{1}}{{f}_{2}}$ is _____ .