7.Gravitation
medium

બે ગ્રહ જેની ત્રિજ્યા $R_1$ અને $R_2$ અને ઘનતા $\rho_1$ અને $\rho_2$ હોય તો ગુરુત્વ પ્રવેગ નો ગુણોત્તર કેટલો થાય?

A

${g_1}:{g_2} = \frac{{{\rho _1}}}{{R_1^2}}:\frac{{{\rho _2}}}{{R_2^2}}$

B

${g_1}:{g_2} = {R_1}{R_2}:{\rho _1}{\rho _2}$

C

${g_1}:{g_2} = {R_1}{\rho _2}:{R_2}{\rho _1}$

D

${g_1}:{g_2} = {R_1}{\rho _1}:{R_2}{\rho _2}$

(AIIMS-2013)

Solution

(d) $g = \frac{4}{3}\pi \rho GR$

$\therefore \frac{{{g_1}}}{{{g_2}}} = \frac{{{R_1}{\rho _1}}}{{{R_2}{\rho _2}}}$

Standard 11
Physics

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