CUET · PHYSICS · PYQ PAPER 2023
A plane electromagnetic wave of frequency 50 MHz travels in free space along the x-direction. At a particular point in space and time \( \vec{E} = 9.3 \hat{j} \text{ V m}^{-1} \). What is \( \vec{B} \) at this point?
- A \( (3.1 \times 10^{-8} \hat{k}) \text{ T} \)
- B \( (3.1 \times 10^{-8} \hat{i}) \text{ T} \)
- C \( (3.1 \times 10^8 \hat{k}) \text{ T} \)
- D \( (3.1 \times 10^{-8} \hat{j}) \text{ T} \)
Answer & Solution
Correct Answer
(A) \( (3.1 \times 10^{-8} \hat{k}) \text{ T} \)
Step-by-step Solution
Detailed explanation
\( \vec{B} = \frac{\hat{k}_{\text{prop}} \times \vec{E}}{c} \) \( \vec{B} = \frac{\hat{i} \times (9.3 \hat{j} \text{ V m}^{-1})}{3 \times 10^8 \text{ m s}^{-1}} \) \( \vec{B} = \frac{9.3 (\hat{i} \times \hat{j})}{3 \times 10^8} \text{ T} \)…
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