Angular momentum of the Earth revolving around the Sun in a circular orbit of radius $R$ is proportional to

\sqrt{R}

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R

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R^{2}

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R^{1 / 3}

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R^{3 / 2}

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Solution

The correct option is B $\sqrt{R}$
We know that angular momentum of Earth
$L = m v R$
$\Rightarrow L = m \sqrt{\frac{G M}{R}} \times R$
$\Rightarrow L \propto R^{1 / 2}$ .

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Angular momentum of the Earth revolving around the Sun in a circular orbit of radius R is proportional to

The correct option is B √RWe know that angular momentum of EarthL=mvR⇒L=m√GMR×R⇒L∝R1/2.

Angular momentum of the Earth revolving around the Sun in a circular orbit of radius $R$ is proportional to

The correct option is B $\sqrt{R}$
We know that angular momentum of Earth
$L = m v R$
$\Rightarrow L = m \sqrt{\frac{G M}{R}} \times R$
$\Rightarrow L \propto R^{1 / 2}$ .