Question 39: Wave Optics

Question

In Young's double slit interference experiment, using two coherent waves of different amplitudes, the intensities ratio between bright and dark fringes is 3 . Then, the value of the ratio of the amplitudes of the wave that arrive there is

Accepted Answer

$$\begin{aligned}
& 	ext { Here, } \frac{I_{	ext {bright }}}{I_{	ext {dark }}}=\frac{I_{\max }}{I_{\min }}=3 \quad 	ext{(given)}\
& \Rightarrow \quad \frac{\left(a_1+a_2ight)^2}{\left(a_1-a_2ight)^2}=\frac{3}{1} \Rightarrow \frac{a_1+a_2}{a_1-a_2}=\sqrt{3} \
& \Rightarrow \quad a_1+a_2=\sqrt{3}\left(a_1-a_2ight) \Rightarrow \frac{a_1}{a_2}=\left(\frac{\sqrt{3}+1}{\sqrt{3}-1}ight)
\end{aligned}$$

Answer

$$\left(\frac{\sqrt{3}+1}{\sqrt{3}-1}\right)$$

Answer

$$\left(\frac{\sqrt{3}-1}{\sqrt{3}+1}\right)$$

Answer

$$\sqrt{3}: 1$$

Answer

$$1: \sqrt{3}$$

Wave Optics

In Young's double slit interference experiment, using two coherent waves of different amplitudes, the intensities ratio between bright and dark fringes is 3 . Then, the value of the ratio of the amplitudes of the wave that arrive there is

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