A solid sphere of radius R and mass density `rho` is surrounded by another outer sphere of density `2 rho`. Let `E_(P)` is gravitational field at P and `E_(Q)` is at Q. If the ratio of `E_(Q)//E_(P)=3k//4`. Find the value of k.

A system consits of a uniformly charged sphere of radius R and a surrounding medium filled by a charge with the volume density rho=alpha/r , where alpha is a positive constant and r is the distance from the centre of the sphere. Find the charge of the sphere for which the electric field intensity E outside the sphere is independent of R.

The density inside a solid sphere of radius r varies as rho (r ) = rho_(0) ((r )/(R ))^(beta), " where " rho_(0) and beta are constants and r is the distance from the centre. Let E_(1) and E_(2) be gravitational fields due to sphere at distance (R )/(2) and 2R from the centre of sphere. If (E_(2))/(E_(1)) =4 , teh value of beta is

A solid sphere having radius R and uniform charge density rho has a cavity of radius R/2 as shown in figure then the value of |(E_(A)/(E_(B)))| = (m)/(17) .Find the value of m

A solid sphere having radius R and uniform charge density rho has a cavity of radius R/2 as shown in figure.Find the value of |E_A /E_B|

A solid sphere having radius R and uniform charge density rho has a cavity of radius R/2 as shown in figure.Find the value of |E_A /E_B|

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.

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