A solid nonconducting sphere of radius R carries a charge Q distributed uniformly throughout its volume. At a certain distancer1 (r1< R) from the center of the sphere, the electric field has magnitude E. If the same charge Q were distributed uniformly throughout a sphere of radius 2R, the magnitude of the electric field at the same distancer1 from the center would be equal to .

The magnitude of the electric field in the second case will be of the electric field in the first case

Explanation:

The electric field at a distance < R from the center of the sphere is given by

the formula  =  

where R is the radius of the sphere, and, Q is the charge uniformly distributed on the sphere.

It is given that the same charge Q is distributed uniformly throughout a sphere of radius 2R and we have to find the electric field at same distance from the center.

In the second case the electric field will be given by

=

Therefore the magnitude of the electric field in the second case will be of the electric field in the first case.

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.