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JEE Main 2026 · 2 Apr · Shift 1, Physics question 43

An electromagnetic wave travelling in xx-direction is described by field equation Ey=300sin⁡ω(t−xc)E_y=300\sin\omega\left(t-\dfrac xc\right). If the electron is restricted to move in yy-direction only with speed of 1.5×1061.5\times10^6 m/s then ratio of maximum electric and magnetic forces acting on the electron is ________.

Choose one option
Answer and worked solution

Official answer: A

Forces. FE=eE0F_E=eE_0. In an EM wave B0=E0cB_0=\frac{E_0}c, and the magnetic force is FB=evB0=evE0cF_B=evB_0=\frac{evE_0}c.

Ratio. FEFB=cv=3×1081.5×106=200\dfrac{F_E}{F_B}=\dfrac cv=\dfrac{3\times10^8}{1.5\times10^6}=200.

(A)