A single slit of width $a$ is illuminated by violet light of wavelength $400\ nm$ and the width of the diffraction pattern is measured as $y$. When half of the slit width is covered and illuminated by yellow light of wavelength $600\ nm$, the width of the diffraction pattern is

Question

Dr. Abubacker · Accepted Answer

(c) In single slit experiment,
Width of central maxima $(y) = 2\lambda D/d$
$\Rightarrow \frac{y^{'}}{y} = \frac{\lambda^{'}}{d^{'}} 	imes \frac{d}{\lambda} = \frac{600}{d/2} 	imes \frac{d}{400} \Rightarrow y^{'} = 3y$

Q. A single slit of width $a$ is illuminated by violet light of wavelength $400\ nm$ and the width of the diffraction pattern is measured as $y$. When half of the slit width is covered and illuminated by yellow light of wavelength $600\ nm$, the width of the diffraction pattern is

Explanation

Reviewed by Dr. Abubacker

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