Student Login

Home›Chapters›Oscillations PYQs›Spring Systems›Question 38

JEE Main 2024 (1 Feb, Shift 2) · Spring Systems

Spring Systems question from JEE Main 2024 (1 Feb, Shift 2)

Q38JEE Main 2024 · 1 FEB · SHIFT 2Easy

Spring Systems

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 $\frac{f_1}{f_2}$ is ________.

Numerical answer type. Work it out, then open the answer.

Show answer and solution

Answer: 3

$f = \frac{1}{2\pi}\sqrt{\frac{k}{m}}$ , so $f \propto \frac{1}{\sqrt{m}}$ .
$\frac{f_1}{f_2} = \sqrt{\frac{9m}{m}} = 3$
So $\frac{f_1}{f_2} = 3$ .

Report a mistake

More questions on Spring Systems

Two bodies A and B of equal mass are suspended from two separate massless springs of…MHT CET 2024 (4 May, Shift 1)
A mass ' m ' attached to a spring oscillates with a period of 3 second. If the mass is…MHT CET 2024 (4 May, Shift 2)
Three masses 500 g, 300 g and 100 g are suspended at the end of spring as shown in figure…MHT CET 2024 (2 May, Shift 1)
Frequency of a particle performing S.H.M. is 10 Hz. The particle is suspended from a…MHT CET 2024 (3 May, Shift 2)
All the springs in fig. (a), (b) and (c) are identical, each having force constant K…MHT CET 2024 (11 May, Shift 2)
The time period of simple harmonic motion of mass M in the given figure is π√((α…JEE Main 2024 (31 Jan, Shift 2)
A spring has a certain mass suspended from it and its period for vertical oscillations is…MHT CET 2023 (9 May, Shift 2)
For a simple harmonic motion in a mass spring system shown, the surface is frictionless…JEE Main 2023 (30 Jan, Shift 2)