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Q.

A satellite of mass M2 is revolving around earth in a circular orbit at a height of R3 from earth surface. The angular momentum of the satellite is MGMRx. The value of x is _______, where M and R are the mass and radius of earth, respectively. (G is the gravitational constant)

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answer is 3.

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Detailed Solution


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orbital velocity v0=GM4R/3=3GM4R
Angular momentum of satellite =M2v04R3

=M23GM4R4R3=MGMR3
x = 3

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A satellite of mass M2 is revolving around earth in a circular orbit at a height of R3 from earth surface. The angular momentum of the satellite is MGMRx. The value of x is _______, where M and R are the mass and radius of earth, respectively. (G is the gravitational constant)