(B) The de Broglie wavelength of the electrons is given by $\lambda = \frac{h}{mv}$.As the speed $v$ of the electrons increases,the wavelength $\lambd

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The angular width of the central maximum of the diffraction pattern will decrease.

(B) The de Broglie wavelength of the electrons is given by $\lambda = \frac{h}{mv}$.As the speed $v$ of the electrons increases,the wavelength $\lambda$ decreases.The angular width of the central maximum in a single-slit diffraction pattern is given by $\theta = \frac{2\lambda}{a}$,where $a$ is the slit width.Since $\lambda$ decreases as $v$ increases,the angular width $\theta$ of the central maximum will also decrease.

Class 12 Physics Wave Optics Single Slit Diffraction of Light

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$A$ parallel beam of fast-moving electrons is incident normally on a narrow slit. $A$ fluorescent screen is placed at a large distance from the slit. If the speed of the electrons is increased,which of the following statements is correct?

A
The angular width of the central maximum of the diffraction pattern will increase.
B
The angular width of the central maximum of the diffraction pattern will decrease.
C
The angular width of the central maximum of the diffraction pattern will remain unchanged.
D
The diffraction pattern will not be observed on the screen in the case of electrons.

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Single Slit Diffraction of Light

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$A$ parallel beam of fast-moving electrons is incident normally on a narrow slit. $A$ fluorescent screen is placed at a large distance from the slit. If the speed of the electrons is increased,which of the following statements is correct?

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When you look at a clear blue sky, you see tiny specks and hair-like structures floating in your view, called "floaters". This is basically

For Bragg's diffraction by a crystal to occur,the $X$-ray of wavelength $\lambda$ and interatomic distance $d$ must satisfy which condition?

Light of wavelength $\lambda$ is incident on a single slit of width $a$,and the distance between the slit and the screen is $D$. In the diffraction pattern,if the slit width is equal to the width of the central maximum,then $D=$

Assertion : Diffraction takes place for all types of waves,mechanical or non-mechanical,transverse or longitudinal.Reason : Diffraction effects are perceptible only if the wavelength of the wave is comparable to the dimensions of the diffracting device.

Light of wavelength $\lambda$ is incident on a slit of width $a$. The resulting diffraction pattern is observed on a screen placed at a distance $D$. If the linear width of the central maximum is equal to the width of the slit,then $D = $ . . . . . . .

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Assertion : Diffraction takes place for all types of waves,mechanical or non-mechanical,transverse or longitudinal.
Reason : Diffraction effects are perceptible only if the wavelength of the wave is comparable to the dimensions of the diffracting device.