Q 11-13-053JEE MainJEE Main 2024 (1 Feb, Shift 2)Easy
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 ______.
Numerical value type. Enter your answer.
Answer: 3
$f = \dfrac{1}{2\pi}\sqrt{\dfrac{k}{m}} \propto \dfrac{1}{\sqrt m}$:
$$\frac{f_1}{f_2} = \sqrt{\frac{9m}{m}} = 3$$
Solution by Sreeraj P, M.Sc Physics