Suppose that one of Millikan’s oil drops has a charge

gorovogpg

gorovogpg

Answered question

2021-12-25

Suppose that one of Millikan’s oil drops has a charge of 4.8×1019 C. How many excess electrons does the drop contain?

Answer & Explanation

Lynne Trussell

Lynne Trussell

Beginner2021-12-26Added 32 answers

Given,
One Milikian's oil drop has a charge =4.8×1019 C
Charge of an electron =1.6×1019
Number of electrons can be calculated as:
Charge=no.of electrons×charge of an electron
No. of electrons=Chargecharge of an electron
No. of electrons=4.8×1019 C1.6×1019 C=3
Answer:
Number of excess electrons the drop contain =3
fudzisako

fudzisako

Skilled2023-06-14Added 105 answers

Answer:
3 extra electrons
Explanation:
Let Q be the charge of the oil drop, which is Q=4.8×1019 C. The number of excess electrons, N, can be calculated as follows:
N=Qe
Substituting the given values, we get:
N=4.8×10191.6×1019
Now, let's simplify this expression. When dividing two numbers in scientific notation, we subtract the exponents and divide the mantissas. Therefore:
N=4.81.6×10191019
Simplifying further, we have:
N=3×1
Hence, the number of excess electrons on the oil drop is N=3.
Now, it's important to note that the negative sign indicates an excess of negative charge, which means the oil drop gained 3 extra electrons.
Jazz Frenia

Jazz Frenia

Skilled2023-06-14Added 106 answers

Given:
q=ne
where:
q is the charge of the oil drop,
n is the number of excess electrons, and
e is the charge of a single electron.
Given that the charge of the oil drop is 4.8×1019C, we can substitute this value into the equation:
4.8×1019C=n·e
We know that the charge of a single electron, e, is 1.6×1019C, so we can substitute this value as well:
4.8×1019C=n·(1.6×1019C)
To solve for n, we can rearrange the equation:
n=4.8×1019C1.6×1019C
Simplifying the expression, we have:
n=3
Therefore, the oil drop contains 3 excess electrons. However, it's important to note that electrons are indivisible, and we cannot have a fractional number of electrons. The negative sign indicates an excess of electrons compared to the overall charge of the oil drop. In this case, it means that the oil drop is deficient in 3 electrons compared to being electrically neutral.
xleb123

xleb123

Skilled2023-06-14Added 181 answers

To solve the problem, we can use the equation for the charge of an electron:
e=1.6×1019C where e represents the charge of a single electron.
Given that the oil drop has a charge of 4.8×1019C, we can calculate the number of excess electrons using the equation:
Number of excess electrons=Charge of the oil dropCharge of a single electron
Substituting the given values, we have:
Number of excess electrons=4.8×1019C1.6×1019C
Simplifying the expression, we get:
Number of excess electrons=4.81.6=3
Therefore, the oil drop contains 3 excess electrons.

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