Oscillations Question 1
Question 1 - 2024 (01 Feb Shift 2)
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 $9 m$ is suspended from the same spring is $f _2$. The value of $\frac{f _1}{f _2}$ is
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Answer: (3)
Solution:
$f _1=\frac{1}{2 \pi} \sqrt{\frac{k}{m}}$
$f _2=\frac{1}{2 \pi} \sqrt{\frac{k}{9 m}}$
$\frac{f _1}{f _2}=\sqrt{\frac{9}{1}}=\frac{3}{1}$
