Mass density of sphere of radius `R` is `(K)/(r^(2))`. Where `K` is constant and `r` is distance from centre. A particle is moving near surface of sphere along circular path of radius R with time period T. Then

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

The mass density of a spherical galaxy varies as (K)/(r) over a large distance 'r' from its centre . In that region , a small star is in a circular orbit of radius R . Then the period of revolution , T depends on R as :

The mass density of a spherical galaxy varies as (K)/(r) over a large distance 'r' from its centre . In that region , a small star is in a circular orbit of radius R . Then the period of revolution , T depends on R as :

The mass density of a spherical galaxy varies as K/r over a large distance 'r' from its centre. In that region, a small star is in a circular orbit of radius R. Then the period of revolution, T depends on R as:

The density of a solid sphere of radius R is P(r)=20(r^(2))/R^(2) where, r is the distence from its centre. If the gravitational field due to this sphere at a distence 4 R from its centre is E and G is the gravitational constant, them the ratio of (E)/(GR) is

A particle moves along a semicircular path of radius R in time t with constant speed. For the particle calculate

A solid sphere of radius R is charged with volume charge density p=Kr^(n) , where K and n are constants and r is the distance from its centre. If electric field inside the sphere at distance r is proportional to r^(4) ,then find the value of n.