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Model Paper 2 — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsModel Paper 21 Mark
MCQ
Average distance of the earth frorn the sun is $L _1$. If one year of the earth $= D$ days, one year of another planet whose average distance from the sun is $L _2$ will be:
  • A
    $D\left(\frac{L_2}{L_1}\right)^{\frac{1}{2}}$ days
  • B
    $D\left(\frac{L_2}{L_1}\right)^{\frac{2}{3}}$
  • C
    $D\left(\frac{L_2}{L_1}\right)^{\frac{3}{2}}$ days
  • D
    $D\left(\frac{L_2}{L_1}\right)$
✓

Answer

(c) $D\left(\frac{L_2}{L_1}\right)^{\frac{3}{2}}$ days
Explanation: According to Kepler's law of periods,
$T ^2 \propto r ^3 \Rightarrow T \propto r ^{\frac{3}{2}}$
$
\frac{D}{D}=\left(\frac{L_2}{4}\right)^{\frac{3}{2}}
$
$\Rightarrow D^{\prime}=D\left(\frac{L_2}{L_1}\right)^{\frac{3}{2}}$ days

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