Test Academy | A planet of mass m is moving in an elliptical path about the sun. Its maximum and minimum distances from the sun are r₁ and r₂ respectively. If Mₛ is the mass of sun then the angular momentum of this planet about the center of sun will be √(2GMₛ/r₁+r₂), 2GMₛm√(r₁r₂/r₁+r₂), m√(2GMₛr₁r₂/r₁+r₂), m√(2GMₛm(r₁+r₂)/r₁r₂)

Question

A planet of mass m is moving in an elliptical path about the sun. Its maximum and minimum distances from the sun are r₁ and r₂ respectively. If Mₛ is the mass of sun then the angular momentum of this planet about the center of sun will be

Options :

√(2GMₛ/r₁+r₂)
2GMₛm√(r₁r₂/r₁+r₂)
m√(2GMₛr₁r₂/r₁+r₂)
m√(2GMₛm(r₁+r₂)/r₁r₂)

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