Question

Two monochromatic coherent light beams $A$ and $B$ have intensities $L$ and $\frac{ L}{4}$ respectively. If these beams are super. posed, the maximum and minimum intensities will be
(A) $\frac{9 \mathrm{~L}}{4}, \frac{\mathrm{L}}{4}$
(B) $\frac{5 L}{4}, 0$
(C) $\frac{5 \mathrm{~L}}{2}, 0$
(D) $2 L, \frac{L}{2}$

Answer 1

Ans: (A)
$$\begin{aligned} &I_{\text {maximum }}=\left(\sqrt{L}+\sqrt{\frac{L}{4}}\right)^{2}=\frac{9 L}{4} \\ &I_{\text {minimum }}=\left(\sqrt{L}-\sqrt{\frac{L}{4}}\right)^{2}=\frac{L}{4} \end{aligned}$$

Answer 2

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Answer 3

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