CUET · PHYSICS · PYQ PAPER 2023
A thin infinite line charge has linear charge density of \( 2.0 \times 10^{-9} \text{ C/m} \). The electric field intensity at a distance of 3 m from the line charge is : (\( \frac{1}{4\pi\epsilon_0} = 9 \times 10^9 \))
- A \( 12 \text{ N C}^{-1} \)
- B \( 6 \text{ N C}^{-1} \)
- C \( 1.2 \text{ N C}^{-1} \)
- D \( 24 \text{ N C}^{-1} \)
Answer & Solution
Correct Answer
(A) \( 12 \text{ N C}^{-1} \)
Step-by-step Solution
Detailed explanation
\( E = 2 \left( \frac{1}{4\pi\epsilon_0} \right) \frac{\lambda}{r} \) \( E = 2 (9 \times 10^9) \frac{2.0 \times 10^{-9}}{3} \) \( E = 12 \text{ N C}^{-1} \)
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