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13. oscillations — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics13. oscillations1 Mark
MCQ
A mass $\mathrm{m}$ 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_____________.
  • ✓
    $3$
  • B
    $4$
  • C
    $5$
  • D
    $6$
✓

Answer

Correct option: A.
$3$
a
$\mathrm{f}_1=\frac{1}{2 \pi} \sqrt{\frac{\mathrm{k}}{\mathrm{m}}}$

$\mathrm{f}_2=\frac{1}{2 \pi} \sqrt{\frac{\mathrm{k}}{9 \mathrm{~m}}}$

$\frac{\mathrm{f}_1}{\mathrm{f}_2}=\sqrt{\frac{9}{1}}=\frac{3}{1}$

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