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13. oscillations — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics13. oscillations1 Mark
MCQ
A simple pendulum is placed at a place where its distance from the earth's surface is equal to the radius of the earth. If the length of the string is $4 \mathrm{~m}$, then the time period of small oscillations will be ____ $s$. $\left[\right.$ take $\left.\mathrm{g}=\pi^2 \mathrm{~ms}^{-2}\right]$
  • A
    $5$
  • B
    $6$
  • C
    $7$
  • ✓
    $8$
✓

Answer

Correct option: D.
$8$
d
Acceleration due to gravity $\mathrm{g}^{\prime}=\frac{\mathrm{g}}{4}$

$T=2 \pi \sqrt{\frac{4 \ell}{g}}$

$T=2 \pi \sqrt{\frac{4 \times 4}{g}}$

 $T=2 \pi \frac{4}{\pi}=8 s$

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