Physics Electrostatics ETEA 2023
PMDC Verified Question 44 of 131
Q.161 Two charges of magnitude \( q_1 = 1\mu\text{C} \) and \( q_2 = 5\mu\text{C} \), are separated at a distance \( r = 1 \times 10^{-3} \text{ m} \) apart, the ratio of the magnitude of the forces acting on them will be:
A
1:5
B
1:25
C
1:3
D
1:1
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option D: 1:1
1. Concept:

Newton's Third Law of Motion strictly dictates that all forces are mutual interactions. An electrostatic force is a shared bond between two objects.

2. Formula:

$$ F_1 = F_2 = k \frac{q_1 q_2}{r^2} $$

3. Solution:

  • Despite \( q_2 \) being five times larger in magnitude than \( q_1 \), the actual force formula multiplies them together.


  • The force \( q_1 \) feels is \( k(1)(5)/r^2 \).


  • The force \( q_2 \) feels is \( k(5)(1)/r^2 \).


  • Both forces are mathematically identical, making their ratio perfectly 1:1.


4. Why other options are incorrect:

Option A attempts to bait students into comparing the ratio of the charges themselves, rather than the mutual forces they experience.

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