(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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Class 12 Questions

Class 12

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Wave Optics

Subtopic

Single Slit Diffraction of Light

The width of the $nth$ $HPZ$ (Half Period Zone) will be:

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Red light of wavelength $6500 \, \mathring{A}$ is incident on a slit of width $0.50 \, \text{mm}$. Find the distance between the two first minima on both sides of the central maximum in the diffraction pattern. The distance between the screen and the slit is $1.8 \, \text{m}$.

Medium

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Define diffraction.

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The light of wavelength $6328 \ \mathring{A}$ is incident on a slit of width $0.2 \ mm$ perpendicularly. The angular width of the central maxima will be.....$^o$

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Red light of wavelength $625 \, nm$ is incident normally on an optical diffraction grating with $2 \times 10^{5} \, \text{lines}/m$. Including the central principal maxima, how many maxima may be observed on a screen which is far from the grating?

DifficultKCET 2010

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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?

Similar Questions

The width of the $nth$ $HPZ$ (Half Period Zone) will be:

Red light of wavelength $6500 \, \mathring{A}$ is incident on a slit of width $0.50 \, \text{mm}$. Find the distance between the two first minima on both sides of the central maximum in the diffraction pattern. The distance between the screen and the slit is $1.8 \, \text{m}$.

Define diffraction.

The light of wavelength $6328 \ \mathring{A}$ is incident on a slit of width $0.2 \ mm$ perpendicularly. The angular width of the central maxima will be.....$^o$

Red light of wavelength $625 \, nm$ is incident normally on an optical diffraction grating with $2 \times 10^{5} \, \text{lines}/m$. Including the central principal maxima, how many maxima may be observed on a screen which is far from the grating?

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