The angular momentum of the earth revolving round the sun, is proportional to $r^{n}$ , where r is the distance between the centres of earth and the sun. The value of n is :

1

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\frac{1}{2}

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Solution

The correct option is C $\frac{1}{2}$
$L = {M V}_{U} r = m \sqrt{\frac{{G M}_{r}}{R}} = \sqrt{m G_{m} r}$
$L$ is proportional to $R = L$ is proportional to $r^{1 / 2}$ $n = \frac{1}{2}$

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The angular momentum of the earth revolving round the sun, is proportional to rn, where r is the distance between the centres of earth and the sun. The value of n is :

The correct option is C 12L=MVUr=m√GMrR=√mGmrL is proportional to R=L is proportional to r1/2 n=12

The angular momentum of the earth revolving round the sun, is proportional to $r^{n}$ , where r is the distance between the centres of earth and the sun. The value of n is :

The correct option is C $\frac{1}{2}$
$L = {M V}_{U} r = m \sqrt{\frac{{G M}_{r}}{R}} = \sqrt{m G_{m} r}$
$L$ is proportional to $R = L$ is proportional to $r^{1 / 2}$ $n = \frac{1}{2}$