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A test particle is moving in a circular orbit in the gravitational field produced by a mass density p(r)=.  Identify the correct relation between the radius R of the particle’s orbit and its period T:

(a)

T/R is a constant

(b)

TR is a constant

(c)

T/R2 is a constant

(d)

T2/R3 is a constant



Question ID - 51264 | SaraNextGen Top Answer

A test particle is moving in a circular orbit in the gravitational field produced by a mass density p(r)=.  Identify the correct relation between the radius R of the particle’s orbit and its period T:

(a)

T/R is a constant

(b)

TR is a constant

(c)

T/R2 is a constant

(d)

T2/R3 is a constant

1 Answer
127 votes
Answer Key / Explanation : (a) -

M(in) =   dr

           =4

∴        G =  

⇒        v =

∴         T= =

∴          =constant

127 votes


127