CUET · PHYSICS · PYQ PAPER 2025
A uniformly charged sphere of \( 80 \text{ } \mu\text{C} \) and radius 2 cm is placed in air.
The electric field intensity at a point 20 cm from the center of the sphere is:
- A \( 1.80 \times 10^7 \text{ N/C} \)
- B \( 1.80 \times 10^5 \text{ N/C} \)
- C \( 1.45 \times 10^5 \text{ N/C} \)
- D \( 1.45 \times 10^7 \text{ N/C} \)
Answer & Solution
Correct Answer
(A) \( 1.80 \times 10^7 \text{ N/C} \)
Step-by-step Solution
Detailed explanation
\( E = \frac{1}{4\pi\epsilon_0} \frac{q}{r^2} \) \( E = (9 \times 10^9 \text{ N}\cdot\text{m}^2/\text{C}^2) \frac{80 \times 10^{-6} \text{ C}}{(0.20 \text{ m})^2} \) \( E = 1.80 \times 10^7 \text{ N/C} \)
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