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(D) The correct option is $D$.Considering the force balance in the orbit:$\frac{GMm}{r^2} = \frac{mv^2}{r}$Here,the gravitational force provides the n

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$\sqrt{GMm^2 r}$

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(D) The correct option is $D$.Considering the force balance in the orbit:$\frac{GMm}{r^2} = \frac{mv^2}{r}$Here,the gravitational force provides the necessary centripetal force for circular motion.Solving for the orbital velocity $v$:$v^2 = \frac{GM}{r} \implies v = \sqrt{\frac{GM}{r}}$The angular momentum $L$ of the satellite is given by the formula $L = mvr$.Substituting the value of $v$:$L = m 	imes \sqrt{\frac{GM}{r}} 	imes r$$L = \sqrt{m^2 	imes \frac{GM}{r} 	imes r^2}$$L = \sqrt{GMm^2 r}$

$A$ satellite of mass $m$ is revolving around the Earth of mass $M$ in an orbit of radius $r$. The angular momentum of the satellite about the centre of the orbit will be:

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