Understanding Discrete Quantities in Electrical Charge

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Electrical charge exists in discrete quantities, specifically as integral multiples of the elementary charge, which is approximately 1.6022 x 10^-19 C. "Discrete quantities" indicates that charges can only take on specific values, similar to counting whole numbers, and cannot be fractional. The reason for this integral nature of charge remains largely speculative, as no fractional charges have ever been observed. The concept was notably supported by findings from Millikan's Oil Drop experiment, which demonstrated that charges are quantized. Overall, electrical charge is fundamentally quantized, reinforcing the principle that charges are always whole number multiples of the elementary charge.
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Homework Statement



"The electrical charge exists in discrete quantities, which are integral multipuls of the electronic charge, 1.6022 e -19 C"

What does "discrete quantities" mean? and Why is electrical charge an integral multipul of the electronic charge instead of just a multipul of the electronic charge?
 
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"Discrete" means that it can only have certain values, not just any old value. For example, the number of sheep in a field is discrete quantity; you can only have 1 sheep, or 2 sheep, or 3 sheep, etc., but not some fractional number like 1.34995 sheep. Electric charge works the same way: you can only have 1 elementary charge (elementary charge = electron charge), or 2x the elementary charge, or 3x the elementary charge, etc., but not any fractional number.

As for why? Nobody really knows. There is some theoretical speculation of reasons why charge occurs only in integral multiples of the elementary charge, but nothing super-convincing. All we really have to go on is that nobody's ever seen a charge which wasn't an integral multiple of the elementary charge.
 
the discrete quantity means that if you go and measure the charges of several individual electrons, you won't get a range of charges.

The integral multiple one is mostly because you can't really have a fraction of an electron.

EDIT: these observations as far as I know was deduced during Milikan's Oil Drop experiment.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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