- Home
- Standard 11
- Physics
7.Gravitation
medium
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
A
$\frac{{{g_1}}}{{{g_2}}} = \frac{{{R_1}}}{{{R_2}}}$
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
$\frac{{{g_1}}}{{{g_2}}} = \frac{{R_1^3}}{{R_2^3}}$
(AIIMS-1985)
Solution
(a)$g = \frac{4}{3}\pi \rho GR$. If $\rho $ = constant then $\frac{{{g_1}}}{{{g_2}}} = \frac{{{R_1}}}{{{R_2}}}$
Standard 11
Physics
