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7. gravitation — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysics7. gravitation1 Mark
MCQ
A simple pendulum doing small oscillations at a place $\mathrm{R}$ height above earth surface has time period of $T_1=4 \mathrm{~s}$. $T_2$ would be it's time period if it is brought to a point which is at a height $2 R$ from earth surface. Choose the correct relation $[R=$ radius of Earth]:
  • A
    $\mathrm{T}_1=\mathrm{T}_2$
  • B
    $2 \mathrm{~T}_1=3 \mathrm{~T}_2$
  • ✓
     $3 \mathrm{~T}_1=2 \mathrm{~T}_2$
  • D
    $2 \mathrm{~T}_1=\mathrm{T}_2$
✓

Answer

Correct option: C.
 $3 \mathrm{~T}_1=2 \mathrm{~T}_2$
c
$\mathrm{T}_1=2 \pi \sqrt{\frac{\ell}{\mathrm{GM}}(2 \mathrm{R})^2}$

$\mathrm{~T}_2=2 \pi \sqrt{\frac{\ell}{\mathrm{GM}}(3 \mathrm{R})^2}$

$\therefore \frac{\mathrm{T}_1}{\mathrm{~T}_2}=\frac{2}{3}$

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