Two plates 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 $\frac{T_{1}}{T_{2}}$ is equal to.

{(\frac{r_{1}}{r_{2}})}^{\frac{1}{2}}

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(\frac{r_{1}}{r_{2}})

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{(\frac{r_{1}}{r_{2}})}^{2}

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{(\frac{r_{1}}{r_{2}})}^{\frac{3}{2}}

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Solution

The correct option is D ${(\frac{r_{1}}{r_{2}})}^{\frac{3}{2}}$
According to Kepler's law
$T^{2} \propto r^{3}$

$⟹ \frac{T_{1}}{T_{2}} = {(\frac{r_{1}}{r_{2}})}^{3 / 2}$

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Two plates move around the Sun. The periodic times and the mean radii of the orbits are T1,T2 and r1,r2 respectively. The ratio T1T2 is equal to.

The correct option is D (r1r2)32According to Kepler's law T2∝r3⟹T1T2=(r1r2)3/2

Two plates 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 $\frac{T_{1}}{T_{2}}$ is equal to.

The correct option is D ${(\frac{r_{1}}{r_{2}})}^{\frac{3}{2}}$
According to Kepler's law
$T^{2} \propto r^{3}$

$⟹ \frac{T_{1}}{T_{2}} = {(\frac{r_{1}}{r_{2}})}^{3 / 2}$