Physics Electrostatics UHS 2024
PMDC Verified Question 20 of 131
Q.197 The Coulomb's law states
A
Force between two point charges is inversely proportional to the product of the charges and directly proportional to the square of the distance between them
B
Force between two point charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them
C
Force between two-point charges is directly proportional to the sum of the charges and inversely proportional to the square of the distance between them
D
Force between two-point charges is directly proportional to the product of the charges and the square of the distance between them
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option B: Force between two point charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them
1. Concept:

Coulomb's Law defines two distinct relationships: a numerator driving force magnitude up (charge), and a denominator driving it down exponentially (distance).

2. Formula:

$$ F = k \frac{q_1 q_2}{r^2} $$

3. Solution:

  • The formula states force is "directly proportional" to the numerator (the mathematical product of \( q_1 \) and \( q_2 \)).


  • The formula states force is "inversely proportional" to the denominator (the spatial square of the distance \( r^2 \)).


  • Statement B maps perfectly to this mathematical reality.


4. Why other options are incorrect:

Option A flips the numerator and denominator relationships. Option C falsely claims the charges are added (sum) rather than multiplied (product). Option D claims force scales up with distance, which is entirely false.

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