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Orbital angular momentum of a satellite or planet

This type of question, asked 4 times: 8 Apr 2023, 8 Apr 2024, 23 Jan 2025, 29 Jan 2025. All 4 questions below, oldest first.

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  1. Question 1

    8 Apr 2023

    99
    The orbital angular momentum of a satellite is LL, when it is revolving in a circular orbit at height hh from earth surface. If the distance of satellite from the earth centre is increased by eight times to its initial value, then the new angular momentum will be-

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  2. Question 2

    8 Apr 2024

    12
    Two planets A and B having masses m1m_{1} and m2m_{2} move around the sun in circular orbits of r1r_{1} and r2r_{2} radii respectively. If angular momentum of AA is LL and that of BB is 3 L3\text{ }L, the ratio of time period (TA TB)\left( \frac{T_{A}}{{\text{ }T}_{B}} \right) is:

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  3. Question 3

    23 Jan 2025

    97
    A satellite of mass M2\frac{M}{2} is revolving around earth in a circular orbit at a height of R3\frac{R}{3} from earth surface. The angular momentum of the satellite is MGMRxM\sqrt{\frac{GMR}{x}}. The value of xx is ____\_\_\_\_ , where M and RR are the mass and radius of earth, respectively. ( G is the gravitational constant)
  4. Question 4

    29 Jan 2025

    99
    Two planets, AA and BB are orbiting a common star in circular orbits of radii RAR_{A} and RBR_{B}, respectively, with RB=2RAR_{B}= 2R_{A}. The planet BB is 424\sqrt{2} times more massive than planet AA. The ratio (LBLA)\left( \frac{L_{B}}{L_{A}} \right) of angular momentum (LB)\left( L_{B} \right) of planet BB to that of planet A(LA)A\left( L_{A} \right) is closest to integer ____\_\_\_\_