Question Details

If the protons and electrons are the only basic charges in the universe, all the observable charges have to be integral multiples of e. Thus, if an object contains x electrons and y protons, the net charge on the object will be

Options

A

-(x + y) e

B

(x + y) e

C

(x- y) e

D

(y- x) e

Show Answer

Correct Answer :

Option D

(y- x) e

Solution :

The correct option is (y- x) e.

To understand why this is correct, we can look at the fundamental electrical charges of protons and electrons:

1. An electron carries a negative elementary charge, which is represented as:
-e

2. A proton carries a positive elementary charge, which is represented as:
+e

If an object contains
x
electrons, the total negative charge contributed by these electrons is:
-xe

Similarly, if the object contains
y
protons, the total positive charge contributed by these protons is:
+ye

The net charge on the object is the algebraic sum of the total positive charges and the total negative charges:

Net Charge=(Total Charge of Protons)+(Total Charge of Electrons)

Substituting the expressions, we get:

Net Charge=ye+(-xe)

By factoring out the common elementary charge term
e
we obtain the final simplified expression:

Net Charge=(y-x)e

This matches the correct option.

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