A solid sphere of radius R has a volume charge density `rho=rho_(0) r^(2)` (where `rho_(0)` is a constant ans r is the distance from centre). At a distance x from its centre (for `x lt R`), the electric field is directly proportional to :

A sphere of radius R has a uniform distribution of electric charge in its volume. At a distance x from its centre, for x lt R , the electric field is directly proportional to

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

A solid non conducting sphere of radius R has a non-uniform charge distribution of volume charge density, rho=rho_(0)r/R , where rho_(0) is a constant and r is the distance from the centre of the sphere. Show that : (i) the total charge on the sphere is Q=pirho_(0)R^(3) (ii) the electric field inside the sphere has a magnitude given by, E=(KQr^(2))/R^(4)

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.

A non-conducting solid sphere has volume charge density that varies as rho=rho_(0) r, where rho_(0) is a constant and r is distance from centre. Find out electric field intensities at following positions. (i) r lt R" " (ii) r ge R

A solid sphere of radius R has a charge Q distributed in its volume with a charge density rho=kr^a , where k and a are constants and r is the distance from its centre. If the electric field at r=(R)/(2) is 1/8 times that r=R , find the value of a.

[" A solid sphere of radius "R" is charged with "],[" volume charge density "rho=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.]