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 $9 \mathrm{~m}$ 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:
$\mathrm{f}_{1}=\frac{1}{2 \pi} \sqrt{\frac{\mathrm{k}}{\mathrm{m}}}$
$\mathrm{f}_{2}=\frac{1}{2 \pi} \sqrt{\frac{\mathrm{k}}{9 \mathrm{~m}}}$
$\frac{\mathrm{f}{1}}{\mathrm{f}{2}}=\sqrt{\frac{9}{1}}=\frac{3}{1}$
