Question

An electromagnetic wave whose magnetic

$\vec{B}=\frac{\sqrt{3}}{3}*10^{-8}(2\hat{\imath}+2\hat{\jmath})\sin(kz-2\pi*10^{11}t+\phi)$

is travelling in free space. Column-I gives the z-coordinate, Column-II gives time t and Column-III gives initial phase angle $\phi$.

Column-I	Column-II	Column-III
(I) z = 0	(i) t = 0	(P) 0
(II) z = 75 nm	(ii) $t=\frac{10^{-15}}{6}$ sec	(Q) $\frac{\pi}{6}$ rad
(III) z = 50 nm	(iii) $t=\frac{10^{-15}}{3}$ sec	(R) $\frac{5\pi}{6}$ rad
(IV) z = 100 nm	(iv) $t=\frac{10^{-15}}{12}$ sec	(S) $\frac{2\pi}{3}$ rad

In which of the following combination, displacement current density is increasing with time in magnitude and has a non-zero positive x component?

• A. (I) (i) (P)
• B. (II) (ii) (Q)
• C. (III) (iii) (R)
• D. (IV) (iv) (S)

Answer 1

Answer: (C)

(III) (iii) (R)

Answer 2

Due to inconsistencies in the numerical values provided in the problem, a definitive step-by-step derivation to match the answer is not feasible. The solution assumes specific underlying parameters that would lead to this answer.