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13. oscillations — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysics13. oscillations1 Mark
MCQ
Three mass and string system is in equilibrium. When $700\,gm$ mass is removed, then the system oscillates with a period of $3\,seconds$ . When the $500\,gm$ mass is also removed, then what will be new time period for system ..... $\sec$
  • A
    $1$
  • ✓
    $2$
  • C
    $3$
  • D
    $\sqrt {\frac{{12}}{5}}$
✓

Answer

Correct option: B.
$2$
b
$\mathrm{T}=2 \pi \sqrt{\frac{\mathrm{m}}{\mathrm{k}}} \Rightarrow \mathrm{T} \propto \sqrt{\mathrm{m}}$

$\therefore \frac{\mathrm{T}_{2}}{\mathrm{T}_{1}}=\sqrt{\frac{\mathrm{m}_{2}}{\mathrm{m}_{1}}}=\sqrt{\frac{400}{900}}$

$\Rightarrow \frac{\mathrm{T}_{2}}{3}=\frac{2}{3} \Rightarrow \mathrm{T}_{2}=2 \mathrm{s}$

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