Question

total charge of nucleus of neutral atom of radius R is +Ze,where z is atomic nos. and e is charge of a proton ,and electron are uniformly distributed in it. apply gauss law to find field intensity at distance r form centre. (pls answer fastest

Answer 1

Answer:

Final Answer :

When r <=R, E(r) = 0

When r >R, E(r) = Ze/4π£° (1/r^2 - r/R^3)

STEPS AND Understanding :

1)   We know, that size of Nucleus in negligible as compared to Nucleus.

So, At any distance r, we have to understand there exists nucleus with charge( +Ze. )

2)   As atom is Neutral, the total Negative Charge in a sphere of Radius R is (-Ze. )

3)   We will find Negative charge density to calculate charge at any distance r.

4)   We will. apply Gauss law to find Electric Field at less than equal to R distance and more than that.

For Calculation see pic

Explanation: