Two planets move around sun. periodic times and mean radii of orbits are {T₁},,{T₂} and {r₁},,

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7.Gravitation

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Two planets move around the sun. The periodic times and the mean radii of the orbits are ${T_1},\,{T_2}$ and ${r_1},\,{r_2}$ respectively. The ratio ${T_1}/{T_2}$ is equal to

A

${({r_1}/{r_2})^{1/2}}$

B

${r_1}/{r_2}$

C

${({r_1}/{r_2})^2}$

D

${({r_1}/{r_2})^{3/2}}$

Solution

(d)${T^2} \propto {r^3}\, \Rightarrow \,\frac{{{T_1}}}{{{T_2}}} = {\left( {\frac{{{r_1}}}{{{r_2}}}} \right)^{3/2}}$

Standard 11

Physics

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