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Wave Optics question bank (Physics)

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Q1.

Two coherent sources of intensity ratio $\alpha$ interfere. In interference pattern, $\dfrac{I_{max}-I_{min}}{I_{max}+I_{min}}$ is

(A)

$\dfrac{2\alpha}{1+\alpha}$

(B)

$\dfrac{2\sqrt{\alpha}}{1+\alpha}$

(C)

$\dfrac{2\alpha}{1+\sqrt{\alpha}}$

(D)

$\dfrac{1+\alpha}{2\alpha}$

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Q2.

In a diffraction pattern due to a single slit of width a, the first minimum is observed at an angle $30^\circ$ when light of wavelength $5000$ Å is incident on the slit. The first secondary maximum is observed at an angle of
$\{\sin(30)^\circ = \cos(60)^\circ = \dfrac{1}{2}\}$

(A)

$\sin^{-1}\left(\dfrac{2}{3}\right)$

(B)

$\sin^{-1}\left(\dfrac{1}{2}\right)$

(C)

$\sin^{-1}\left(\dfrac{3}{4}\right)$

(D)

$\sin^{-1}\left(\dfrac{1}{4}\right)$

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