Home
Class 12
PHYSICS
Consider a spherical gaseous cloud of ma...

Consider a spherical gaseous cloud of mass density `rho(r)` in a free space where r is the radial distance from its centre. The gaseous cloud is made of particle of equal mass m moving in circular orbits about their common centre with the same kinetic energy K. The force acting on the particles is their mutual gravitational force. If `rho(r)` is constant with time. the particle number density n(r)=`rho(r)` /m is : (g =universal gravitational constant)

Promotional Banner

Similar Questions

Explore conceptually related problems

A particle of mass m is moving in a circular orbit of radius r in a force field given by vecF = -k/r^2 hatr . The angular momentum L of the particle about the centre varies as

A particle of mass m is executing uniform circular motion on a path of radius r. If P is the magnitude of its linear momentum, the radial force acting on the particle will be

A solid sphere of radius R has a mass distributed in its volume of mass density rho=rho_(0) r, where rho_(0) is constant and r is distance from centre. Then moment of inertia about its diameter is

Charge density of a sphere of radius R is rho = rho_0/r where r is distance from centre of sphere.Total charge of sphere will be

Charge density of a sphere of radius R is rho = rho_0/r where r is distance from centre of sphere.Total charge of sphere will be

A particle of mass m is moving in a circular path of constant radius r , such that its centripetal force F_r varies with time t as F_r=K^2rt^2 , where k is a constant. What is the power delivered to the particle by the forces acting on it?

A smooth chute is made in a dielectric sphere of radius R and uniform volume charge density. rho . A charge particle of mass m and charge -q is placed at the centre of the sphere. Find the time period of motion of the particle?

A smooth chute is made in a dielectric sphere of radius R and uniform volume charge density. rho . A charge particle of mass m and charge -q is placed at the centre of the sphere. Find the time period of motion of the particle?