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7.Gravitation
easy
The ratio of the distances of two planets from the sun is $1.38$. The ratio of their period of revolution around the sun is
A
$1.38$
B
${1.38^{3/2}}$
C
${1.38^{1/2}}$
D
${1.38^3}$
Solution
(b) $\cdot$ Ratio of distance of two planets from sun $\left(\frac{a_{1}}{a_{2}}\right)=1.38$
$\cdot$ Ratio of the period of revolution around sun is $\left(\frac{T_{1}}{T_{2}}\right)=?$
$\Longrightarrow \frac{T_{1}}{T_{2}}=\frac{a_{1}}{a_{2}}^{3 / 2}$
$\frac{a_{1}}{a_{2}}=1.38(\text {Given})$
$\mathrm{So}$
$\Longrightarrow \frac{T_{1}}{T_{2}}=(1.38)^{3 / 2}$
$\frac{T_{1}}{T_{2}}=(1.38)^{3 / 2}$
Standard 11
Physics
