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skyluke89

Answer:

(2) 1.60 times 10^-17 C

Explanation:

The charge of 1 elementary charge is given by

[tex]1 e = 1.6\cdot 10^{-19} C[/tex]

which corresponds to the charge of the proton.

To find the charge of 100 elementary charges (100 e), we need to solve the following proportion:

[tex]1 e:1.60\cdot 10^{-19}C=100 e:x[/tex]

Solving for x we find

[tex]x=\frac{(1.60\cdot 10^{-19} C)(100 e)}{1 e}=1.60\cdot 10^{-17}C[/tex]

nuhulawal20

A charge of 100 elementary charges is equivalent to 1.60 × 10⁻¹⁷ Coulombs.

Hence option 2) 1.60 × 10⁻¹⁷ C is the correct answer.

Elementary charge is simply the electrical charge carried by a single proton. It is the smallest known quantity of electricity. In relation to coulombs:

[tex]1\ Elementary\ charge = 1.60 * 10^{-19} Coulombs[/tex]

There if;

[tex]1\ Elementary\ charge = 1.60 * 10^{-19} Coulombs\\\\100\ Elementary\ charge = x\\\\[/tex]

We cross multiply

[tex]x * 1\ Elementary\ charge = 100\ Elementary\ charge\ *\ 1.60 * 10^{-19} Coulombs\\\\x = \frac{ 100\ Elementary\ charge\ *\ 1.60 * 10^{-19}Coulombs }{1\ Elementary\ charge}\\\\x = 1.60*10^{-17} Coulombs\\\\x = 1.60*10^{-17} C[/tex]

Therefore, A charge of 100 elementary charges is equivalent to 1.60 × 10⁻¹⁷ Coulombs.

Hence option 2) 1.60 × 10⁻¹⁷ C is the correct answer.

Learn more: https://brainly.com/question/83180

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