An electromagnetic wave travelling in x-direction is described by… | JEE Main 2026 (2 Apr, Shift 1)

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Nature of EM Waves & Wave Equation

An electromagnetic wave travelling in x-direction is described by field equation

$E_y = 300 \sin \omega \left(t - \frac{x}{c}\right)$ .

If the electron is restricted to move in y-direction only with speed of $1.5 \times 10^{6}$ m/s then ratio of maximum electric and magnetic forces acting on the electron is ______.

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Answer: (a)

Electric force $F_E = eE_0$ ; $\vec B$ is along $z$ with $B_0 = E_0/c$ , and $\vec v\perp\vec B$ , so $F_B = evB_0$ .
$\dfrac{F_E}{F_B} = \dfrac{E_0}{vB_0} = \dfrac{c}{v}$
$\dfrac{3\times10^{8}}{1.5\times10^{6}} = 200$
So the answer is (a) 200.

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