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7. gravitation — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysics7. gravitation1 Mark
MCQ
Two planets have the same average density but their radii are ${R_1}$ and ${R_2}$. If acceleration due to gravity on these planets be ${g_1}$ and ${g_2}$ respectively, then
  • ✓
    $\frac{{{g_1}}}{{{g_2}}} = \frac{{{R_1}}}{{{R_2}}}$
  • B
    $\frac{{{g_1}}}{{{g_2}}} = \frac{{{R_2}}}{{{R_1}}}$
  • C
    $\frac{{{g_1}}}{{{g_2}}} = \frac{{R_1^2}}{{R_2^2}}$
  • D
    $\frac{{{g_1}}}{{{g_2}}} = \frac{{R_1^3}}{{R_2^3}}$
✓

Answer

Correct option: A.
$\frac{{{g_1}}}{{{g_2}}} = \frac{{{R_1}}}{{{R_2}}}$
a
(a)$g = \frac{4}{3}\pi \rho GR$. If $\rho $ = constant then $\frac{{{g_1}}}{{{g_2}}} = \frac{{{R_1}}}{{{R_2}}}$

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