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.

what experimental evidence led scientists to change from the previous model to this one?

a few of the positive particles aimed at a gold foil seemed to bounce back.

the colors of light emitted from heated atoms had very specific energies.

experiments with water vapor showed that elements combine in specific proportions.

cathode rays were bent in the same way whenever a magnet was brought near them.