(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

Easy

$A$ 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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Wave Optics

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Single Slit Diffraction of Light

Angular width $(\beta)$ of the central maximum of a diffraction pattern on a single slit does not depend upon

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$A$ circular disc is placed in front of a narrow source. When the point of observation is at a distance of $1 \, m$ from the disc,the disc covers the first $HPZ$ (Half Period Zone). The intensity at this point is $I_0$. The intensity at a point at a distance of $25 \, cm$ from the disc will be:

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In a single slit diffraction pattern:

EasyMHT CET 2009

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$A$ diffraction pattern is obtained using a beam of red light. If the red light is replaced by blue light,then:

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$A$ plane wavefront of wavelength $\lambda$ is incident on a slit of width $a$. The angular width of the principal maximum is

MediumKCET 2018

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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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Angular width $(\beta)$ of the central maximum of a diffraction pattern on a single slit does not depend upon

$A$ circular disc is placed in front of a narrow source. When the point of observation is at a distance of $1 \, m$ from the disc,the disc covers the first $HPZ$ (Half Period Zone). The intensity at this point is $I_0$. The intensity at a point at a distance of $25 \, cm$ from the disc will be:

In a single slit diffraction pattern:

$A$ diffraction pattern is obtained using a beam of red light. If the red light is replaced by blue light,then:

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