CUET · PHYSICS · PYQ PAPER 2025
The electric field in a region is \( \vec{E} = (6\hat{i} + 3\hat{j} + 5\hat{k}) \text{ N/C} \).
The electric flux due to this electric field through an area of \( 100 \text{ cm}^2 \) lying in the X-Y plane is :
- A \( 5 \times 10^2 \text{ N m}^2/C \)
- B \( 5 \times 10^1 \text{ N m}^2/C \)
- C \( 5 \times 10^{-1} \text{ N m}^2/C \)
- D \( 5 \times 10^{-2} \text{ N m}^2/C \)
Answer & Solution
Correct Answer
(D) \( 5 \times 10^{-2} \text{ N m}^2/C \)
Step-by-step Solution
Detailed explanation
\( \vec{E} = (6\hat{i} + 3\hat{j} + 5\hat{k}) \text{ N/C} \) \( A = 100 \text{ cm}^2 = 100 \times 10^{-4} \text{ m}^2 = 10^{-2} \text{ m}^2 \) Area in X-Y plane implies normal is along Z-axis: \( \vec{A} = 10^{-2} \hat{k} \text{ m}^2 \) \( \Phi_E = \vec{E} \cdot \vec{A} \)…
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