JEE PYQ: Electromagnetic Waves Question 17
Question 17 - 2020 (05 Sep 2020 Shift 1)
An electron is constrained to move along the y-axis with a speed of 0.1 $c$ in the presence of electromagnetic wave, whose electric field is $\vec{E} = 30\hat{j} \sin(1.5 \times 10^{7}t - 5 \times 10^{-2}x)$ V/m. The maximum magnetic force experienced by the electron will be: (given $c = 3 \times 10^{8}$ ms$^{-1}$ & electron charge $= 1.6 \times 10^{-19}$ C)
(1) $3.2 \times 10^{-18}$ N
(2) $2.4 \times 10^{-18}$ N
(3) $4.8 \times 10^{-19}$ N
(4) $1.6 \times 10^{-19}$ N
Show Answer
Answer: (3)
Solution
$F_{\max} = \frac{qV_0 E_0}{C} = \frac{1.6 \times 10^{-19} \times 0.1 \times 3 \times 10^{8} \times 30}{3 \times 10^{8}} = 4.8 \times 10^{-19}$ N.