The mass density of a planet of radius R varie with the distance r form its centre as `rho (r) = p_(0) ( 1 - (r^(2))/(R^(2))) `. Then the graviational field is maximum at :

The volume charge density in a spherical ball of radius R varies with distence r from the centre as p(r)=p_(0)[1-((r)/(R))^(3)] , where, p_(0) is a constant. The radius at which the field would be maximum is

A cylindrical wire of radius R has current density varying with distance r form its axis as J(x)=J_0(1-(r^2)/(R^2)) . The total current through the wire is

A cylindrical wire of radius R has current density varying with distance r form its axis as J(x)=J_0(1-(r^2)/(R^2)) . The total current through the wire is

Mass density of sphere having radius R varies as rho = rho_0(1-r^2/R^2) . Find maxium magnitude of gravitational field

Mass density of sphere having radius R varies as rho = rho_0(1-r^2/R^2) . Find maxium magnitude of gravitational field

The earth is a homogeneous sphere of mass M and radius R. There is another spherical planet of mass M and radius R whose density changes with distance r from the centre as p=p_(0)r. (a) Find the ratio of acceleration due to gravity on the surface of the earth and that on the surface of the planet. (b) Find p_(0).

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