The proton is 1836 times heavier than electron. The Coulombs force of repulsion between two protons at a certain distance between them is F. Then the Coulomb force between two electrons for same distance would be :a)Fb)- Fc)F/(1836)2d)F (1836)2Correct answer is option 'A'. Can you explain this answer?

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The proton is 1836 times heavier than electron. The Coulomb's force of repulsion between two protons at a certain distance between them is F. Then the Coulomb force between two electrons for same distance would be :

a)
F
b)
- F
c)
F/(1836)²
d)
F × (1836)²

Correct answer is option 'A'. Can you explain this answer?

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The proton is 1836 times heavier than electron. The Coulomb's forc...

Coulomb's force does not depend upon mass.

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The proton is 1836 times heavier than electron. The Coulomb's forc...

Explanation:

To find the Coulomb force between two electrons at the same distance, we need to apply Coulomb's law. Coulomb's law states that the force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

Let's assume the charge on an electron is 'e'. Then the charge on a proton would be 'e' as well, but opposite in sign. The mass of a proton is 1836 times greater than the mass of an electron.

Let's consider the force between two protons at a certain distance. According to Coulomb's law,

F = k * (q1 * q2) / r^2

Where:
F = Coulomb force
k = Coulomb's constant
q1 = charge of proton (e)
q2 = charge of proton (e)
r = distance between protons

Now, let's consider the force between two electrons at the same distance. According to Coulomb's law,

F' = k * (q1 * q2) / r^2

Where:
F' = Coulomb force between electrons
q1 = charge of electron (e)
q2 = charge of electron (e)
r = distance between electrons

Since the charge on an electron is the same as the charge on a proton, we can write q1 = q2 = e in both cases.

Comparison:
Comparing the two equations, we can see that the only difference is in the masses of the particles:

For protons: F = k * (e * e) / r^2
For electrons: F' = k * (e * e) / r^2

Since the masses of the particles do not appear in the equations, the force between two electrons for the same distance would be the same as the force between two protons. Therefore, the correct answer is option 'A', F.

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