Two plane polarized light waves combine at a certain point whose … - Vidyadip

MCQ

Two plane polarized light waves combine at a certain point whose electric field components are
$\mathrm{E}_{1}=\mathrm{E}_{0} \sin \omega \mathrm{t}$
$E_{2}=E_{0} \sin \left(\omega t+\frac{\pi}{3}\right)$
Find the amplitude of the resultant wave.

A
0.9 E
B
$E_{0}$
C
1.7 $\mathrm{E}_{0}$
D
3.4 $\mathrm{E}_{0}$

✓

Answer

C. 1.7 $\mathrm{E}_{0}$
$\mathrm{E}=\sqrt{\left(\mathrm{E}_{0}\right)^{2}+\left(\mathrm{E}_{0}\right)^{2}+2\left(\mathrm{E}_{0}\right)\left(\mathrm{E}_{0}\right) \cos \frac{\pi}{3}}$
$\mathrm{E}=\sqrt{2 \mathrm{E}_{0}^{2}+\mathrm{E}_{0}^{2}}=\sqrt{3} \mathrm{E}_{0}=1.73 \mathrm{E}_{0}$

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