A piece of plastic is uniformly charged with surface charge density n1. 1. The plastic is then broken into a large piece with surface charge density n2.
2. A small piece with surface charge density n3
3. Rank in order, from largest to smallest, the surface charge densities n1 to n3.
A. n1>n2>n3.
B. n1>n2=n3.
C. n1=n2=n3.
D. n2=n3>n1.
E. n3>n2>n1.

E

Explanation:

Since the definition of density is mass per unit volume, the surface density has to do with the area of the surface.

If a piece of plastic is uniformly charged with surface charge density n1, that means that the charge density will be charged per unit area.

The magnitude of the charge depends on the surface areas.

As the surface areas reduce, the magnitude of the charge will be increasing.

Ranking in order, from largest to smallest, the surface charge densities n1 to n3, the correct option will be option E which is n3>n2>n1

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