Two planets of radii r 1 and r 2 are of the same mass- The ratio of the acceleration due to gravity g1-g2 at the surface of the two planets is-A- T2-rB- r1-r22

The correct option is C Let, the mass of the planets be "m". g_1 = G × m/r_1^2 and g_2 = G × m/r_2^2 g_1/g_2=r_2^2 /r_1^2 ...

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Standard XII

Physics

Understanding of Field

Two planets o...

Question

Two planets of radii $r_{1}$ and $r_{2}$ are of the same mass.

The ratio of the acceleration due to gravity $\frac{g_{1}}{g_{2}}$ at the surface of the two planets is:

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Solution

The correct option is D

Let, the mass of the planets be "m".
$g_{1}$ = G $\times$ $\frac{m}{{r_{1}}^{2}}$ and $g_{2}$ = G $\times$ $\frac{m}{{r_{2}}^{2}}$
$\frac{g_{1}}{g_{2}} = \frac{{r_{2}}^{2}}{{r_{1}}^{2}}$

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