Circular MotionHard
Question
A spherically symmetric gravitational system of particles has a mass density ρ = 
where ρ0 is a constant. A test mass can undergo circular motion under the influence of the gravitational field of particles. Its speed V as a function of distance r (0 < r < ∞) from the centre of the system is represented by
where ρ0 is a constant. A test mass can undergo circular motion under the influence of the gravitational field of particles. Its speed V as a function of distance r (0 < r < ∞) from the centre of the system is represented by
Options
A.
B.
C.
D.
Solution
G
πρ0r = 
, r ≤ R
Hence, v ∝ r
r ≥ R
Hence v ∝
πρ0r = , r ≤ RHence, v ∝ r
r ≥ R Hence v ∝
Create a free account to view solution
View Solution FreeMore Circular Motion Questions
A particle is attached to an end of a rigid rod. The other end of the rod is hinged and the rod rotates always remaining...Two cars of masses m1 and m2 are moving incircles of radii r1 and r2, respectively. Theirspeeds are such that they make ...A circular disc of moment of inertia of 0.1 kg-m2 and radius 0.1 m has a massless string passing around its circumferenc...For a particle in a uniformly accelerated circular motion...A car is moving with constant speed on a road as shown in figure. The normal reaction by the road on the car is NA , NB ...