CUET · PHYSICS · PYQ PAPER 2025
Two positive point charges are 3 m apart in the air and the sum of the two charges is \( 20 \text{ } \mu\text{C} \). If the force between them is 0.075 N, the two charges are
- A 14 \( \mu\text{C} \) and 6 \( \mu\text{C} \)
- B 4 \( \mu\text{C} \) and 16 \( \mu\text{C} \)
- C 15 \( \mu\text{C} \) and 5 \( \mu\text{C} \)
- D 12 \( \mu\text{C} \) and 8 \( \mu\text{C} \)
Answer & Solution
Correct Answer
(C) 15 \( \mu\text{C} \) and 5 \( \mu\text{C} \)
Step-by-step Solution
Detailed explanation
\( F = k \frac{q_1 q_2}{r^2} \) \( 0.075 = (9 \times 10^9) \frac{q_1 q_2}{3^2} \) \( q_1 q_2 = \frac{0.075 \times 9}{9 \times 10^9} = 7.5 \times 10^{-11} \text{ C}^2 \) \( q_1 + q_2 = 20 \times 10^{-6} \text{ C} \) \( x^2 - (q_1 + q_2)x + q_1 q_2 = 0 \)…
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