For an infinitely long solide cylinder of radius R having a uniform density , the gravitational field at a distance `r_(1)` is `E_(1)` and at a distance `r_(2)` is `E_(2)` , then

For an infinitely long solid cylinder of radius R having a uniform density , the gravitational field at a distance r_(1) is E_(1) and at a distance r_(2) is E_(2) , then

For an infinitely long solid cylinder of radius R having a uniform density , the gravitational field at a distance r_(1) is E_(1) and at a distance r_(2) is E_(2) , then

An infinitely long solid cylinder of radius R has a uniform volume charge density rho . It has a spherical cavity of radius R//2 with its centre on the axis of cylinder, as shown in the figure. The magnitude of the electic field at the point P , which is at a distance 2 R form the axis of the cylinder, is given by the expression ( 23 r R)/( 16 k e_0) . The value of k is . .

An infinitely long solid cylinder of radius R has a uniform volume charge density rho . It has a spherical cavity of radius R//2 with its centre on the axis of cylinder, as shown in the figure. The magnitude of the electric field at the point P , which is at a distance 2 R form the axis of the cylinder, is given by the expression ( 23 r R)/( 16 k e_0) . The value of k is . .

An infinitely long solid cylinder of radius R with uniform volume charge density rho has a spherical cavity of radius (R)/(2) with its centre on the axis of the cylinder as shown in the figure. The magnitude of the electric field at a point P which is at a distance 2R from the axis of the cylinder is given by (23rhoR)/(6Kepsilon_(0)) . What is the value of K ?

An infinitely long cylinderical wire of radius R is carrying a current with current density j=alphar^(3) (where alpha is constant and r is the distance from the axis of the wire). If the magnetic fixed at r=(R)/(2) is B_(1) and at r=2R is B_(2) then the ratio (B_(2))/(B_(1)) is

An infinitely long cylinderical wire of radius R is carrying a current with current density j=alphar^(3) (where alpha is constant and r is the distance from the axis of the wire). If the magnetic fixed at r=(R)/(2) is B_(1) and at r=2R is B_(2) then the ratio (B_(2))/(B_(1)) is

Charge is uniformly distributed with density rho in a cylindrical region of radius R and infinite length. The magnitude of electric field at distance (R )/(2) and 2R from the axis of the cylinder is E_(1) and E_(2) respectively. The ratio (E_(1))/(E_(2)) is equal to ___________.