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Standard XII

Physics

Kepler's Law

If L is the...

Question

If $L$ is the angular momentum of a satellite revolving around the earth in a circular orbit of radius $r$ with speed $V$ , then

L \propto V

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L \propto r

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L \propto \sqrt{r}

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L \propto \sqrt{V}

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Solution

The correct option is C $L \propto \sqrt{r}$
$\to L = \to r \times \to p$
In circular orbit, $\to r \times \to p = r p = m v r$
$∴ L = m \sqrt{G M r}$
or, $L \propto \sqrt{r}$

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If L is the angular momentum of a satellite revolving around the earth in a circular orbit of radius r with speed V, then

The correct option is C L∝√r→L=→r×→pIn circular orbit, →r×→p=rp=mvr∴L=m√GMror, L∝√r

If $L$ is the angular momentum of a satellite revolving around the earth in a circular orbit of radius $r$ with speed $V$ , then

The correct option is C $L \propto \sqrt{r}$
$\to L = \to r \times \to p$
In circular orbit, $\to r \times \to p = r p = m v r$
$∴ L = m \sqrt{G M r}$
or, $L \propto \sqrt{r}$