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Physics Question on Modern Physics

A planet of mass m moves in an elliptical orbit. Its maximum and minimum distances from the Sun are R and r, respectively. Let G denote the universal gravitational constant, and M the mass of the Sun. Assuming M >> m, the angular momentum of the planet with respect to the center of the Sun is

A

m2GMRr(R+r)m\sqrt{\frac{2GMRr}{(R+r)}}

B

mGMRr2(R+r)m\sqrt{\frac{GMRr}{2(R+r)}}

C

mGMRr(R+r)m\sqrt{\frac{GMRr}{(R+r)}}

D

2m2GMRr(R+r)2m\sqrt{\frac{2GMRr}{(R+r)}}

Answer

m2GMRr(R+r)m\sqrt{\frac{2GMRr}{(R+r)}}

Explanation

Solution

The correct answer is (A) : m2GMRr(R+r)m\sqrt{\frac{2GMRr}{(R+r)}}