Gravitational field due to a solid sphere

Intensity Of Gravitaional Field Due To Solid Sphere

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

The density inside a solid sphere of radius a is given by rho=rho_(0)(1-r/a) , where rho_(0) is the density at the surface and r denotes the distance from the centre. Find the gravitational field due to this sphere at a distance 2a from its centre.

The density inside a solid sphere of radius a is given by rho=rho_0/r , where rho_0 is the density at the surface and r denotes the distance from the centre. Find the gravitational field due to this sphere at a distance 2a from its centre.

Match the entries given in column I with those given in column II. {:(,"Column I",,"Column II"),((A),"Plot of gravitational field due to a uniform solid sphere with distance from its centre.",(p),"Continuos"),((B),"Plot of gravitational field due to a thin spherical shell with distance from centre.",(q),"Discontinuos"),((C ),"Plot of gravitational potential due to a uniform solid sphere with distance from centre.",(r),"Straight line"),((D),"Plot of gravitational potential due to a thin spherical shell with distance from centre.",(s),"Rectangular hyperbola"),(,,(t),"Parabola"):}

Intensity Of Gravitational Field Due To Hollow Sphere

The gravitational field due to an uniform solid sphere of mass M and radius a at the centre of the sphere is

The gravitational field due to an uniform solid sphere of mass M and radius a at the centre of the sphere is