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A spherically symmetric gravitational system of particles has a mass density

where is a constant. A test mass can undergo circular motion under the influence of the gravitational field of particles. Its speed  as a function of distance  from the centre of the system is represented by

a)b)c)d)



Question ID - 54259 | SaraNextGen Top Answer

A spherically symmetric gravitational system of particles has a mass density

where is a constant. A test mass can undergo circular motion under the influence of the gravitational field of particles. Its speed  as a function of distance  from the centre of the system is represented by

a)b)c)d)

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

(c)

Substituting in Eq. (i) we get

 graph is a straight line passing through orgine.

The corresponding  graph will be as shown in option (c).

127 votes


127