A light beam is described by E=800sin⁡ωt−xc .An electron is allowed to move normal to the propagation of light beam with a speed of 3 × 107ms–1. The maximum magnetic force exerted on the electron is 12.8 × 10–xN. What is the value x ?

B0=E0C=8003×108 Fmax=eB0V1.6×10−19×8003×108×3×107 12.8×10−18N

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A light beam is described by $E = 800 \sin ω (t - \frac{x}{c})$ .An electron is allowed to move normal to the propagation of light beam with a speed of 3 × 10⁷ms^–1. The maximum magnetic force exerted on the electron is 12.8 × 10^–xN. What is the value x ?

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Detailed Solution

$\begin{array}{l} B_{0} = \frac{E_{0}}{C} = \frac{800}{3 \times 10^{8}} F_{max} = {eB}_{0} V \\ 1.6 \times 10^{- 19} \times \frac{800}{3 \times 10^{8}} \times 3 \times 10^{7} 12.8 \times 10^{- 18} N \end{array}$

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