(A) In single slit diffraction,the condition for the first minima on either side of the central maxima is given by $a \sin \theta = \pm \lambda$.For s

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(A) In single slit diffraction,the condition for the first minima on either side of the central maxima is given by $a \sin \theta = \pm \lambda$.For small angles,$\sin \theta \approx \theta = \frac{\lambda}{a}$.The distance of the first minima from the center of the screen is $y = D \tan \theta \approx D \theta = \frac{D \lambda}{a}$.The central maxima lies between the first minima on both sides,so its total width is $2y = \frac{2D \lambda}{a}$.

Class 12 Physics Wave Optics Single Slit Diffraction of Light

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For a parallel beam of monochromatic light of wavelength $\lambda$,diffraction is produced by a single slit whose width $a$ is of the order of the wavelength of the light. If $D$ is the distance of the screen from the slit,the width of the central maxima will be

AIPMT 2015 All AIPMT

A
$\frac{2D\lambda}{a}$
B
$\frac{D\lambda}{a}$
C
$\frac{Da}{\lambda}$
D
$\frac{2Da}{\lambda}$

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Wave Optics

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Single Slit Diffraction of Light

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For a parallel beam of monochromatic light of wavelength $\lambda$,diffraction is produced by a single slit whose width $a$ is of the order of the wavelength of the light. If $D$ is the distance of the screen from the slit,the width of the central maxima will be

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Light is incident normally on a diffraction grating through which the first order diffraction is seen at $32^\circ$. The second order diffraction will be seen at

Assertion: $A$ coloured spectrum is seen when we look through a muslin cloth.Reason: It is due to the diffraction of white light on passing through fine slits.

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Assertion: $A$ coloured spectrum is seen when we look through a muslin cloth.
Reason: It is due to the diffraction of white light on passing through fine slits.