JEE PYQ: Electromagnetic Waves Question 12
Question 12 - 2020 (02 Sep 2020 Shift 2)
In a plane electromagnetic wave, the directions of electric field and magnetic field are represented by $\hat{k}$ and $2\hat{i} - 2\hat{j}$, respectively. What is the unit vector along direction of propagation of the wave?
(1) $\frac{1}{\sqrt{2}}(\hat{i} + \hat{j})$
(2) $\frac{1}{\sqrt{2}}(\hat{j} + \hat{k})$
(3) $\frac{1}{\sqrt{5}}(\hat{i} + 2\hat{j})$
(4) $\frac{1}{\sqrt{5}}(2\hat{i} + \hat{j})$
Show Answer
Answer: (1)
Solution
$\hat{C} = \hat{E} \times \hat{B} = \frac{1}{\sqrt{2}}(\hat{i} + \hat{j})$.