Class 12PhysicsDual Nature of Radiation and MatterDavisson-Germer Experiment and Heisenberg Uncertainty Principle
DifficultWhat is a wave packet? Explain using a necessary diagram.
(N/A) resultant wave obtained by the superposition of waves of different wavelengths is called a wave packet.
The matter wave associated with an electron is not extended in infinite space. It is a wave packet extended about a central wavelength.
In this condition,$\Delta x$ is not infinite but has a definite value which depends on the range of the wave packet.
Also,a wave packet does not have a definite wavelength but is made up of a number of wavelengths around a central wavelength.
With the description of a wave packet using the de-Broglie relation and Born's probability interpretation,one can reproduce Heisenberg's uncertainty principle exactly.
Figure $(a)$ shows a schematic diagram of a wave packet,and figure $(b)$ shows an extended wave with a fixed wavelength.
The matter wave associated with an electron is not extended in infinite space. It is a wave packet extended about a central wavelength.
In this condition,$\Delta x$ is not infinite but has a definite value which depends on the range of the wave packet.
Also,a wave packet does not have a definite wavelength but is made up of a number of wavelengths around a central wavelength.
With the description of a wave packet using the de-Broglie relation and Born's probability interpretation,one can reproduce Heisenberg's uncertainty principle exactly.
Figure $(a)$ shows a schematic diagram of a wave packet,and figure $(b)$ shows an extended wave with a fixed wavelength.
Explore More
Similar Questions
The wave property of electrons implies that they will show diffraction effects. Davisson and Germer demonstrated this by diffracting electrons from crystals. The law governing the diffraction from a crystal is obtained by requiring that electron waves reflected from the planes of atoms in a crystal interfere constructively (see figure).
Electrons accelerated by potential $V$ are diffracted from a crystal. If $d = 1\; \text{\AA}$, and $i = 30^{\circ}$, $V$ should be about ....... $V$.
$(h = 6.6 \times 10^{-34}\; J-s, m = 9.1 \times 10^{-31}\; kg, e = 1.6 \times 10^{-19}\; C)$
Electrons accelerated by potential $V$ are diffracted from a crystal. If $d = 1\; \text{\AA}$, and $i = 30^{\circ}$, $V$ should be about ....... $V$.
$(h = 6.6 \times 10^{-34}\; J-s, m = 9.1 \times 10^{-31}\; kg, e = 1.6 \times 10^{-19}\; C)$
DifficultAIEEE 2008
View SolutionWhat is the uncertainty in the velocity of an electron if the uncertainty in the measurement of its position is $50 \text{ pm}$? $(m_e = 9.1 \times 10^{-31} \text{ kg}, h = 6.63 \times 10^{-34} \text{ Js}, \pi = 3.142)$
DifficultMHT CET 2026
View SolutionThe Davisson-Germer experiment that first demonstrated the wave nature of matter used electrons accelerated to $54 \ V$. Determine the wavelength of the electrons in the Davisson-Germer experiment in $\mathring{A}$.
Medium
View SolutionGiven below are two statements :-
Statement $I$ : Davisson-Germer experiment establishes the wave nature of electrons.
Statement $II$ : If electrons have wave nature,they can interfere and show diffraction.
In the light of the above statements,choose the correct answer from the options given below:
Statement $I$ : Davisson-Germer experiment establishes the wave nature of electrons.
Statement $II$ : If electrons have wave nature,they can interfere and show diffraction.
In the light of the above statements,choose the correct answer from the options given below:
In the Davisson-Germer experiment,an electron beam of energy $60 \ eV$ is incident normally on a crystal surface. If the maximum intensity is observed at an angle of $50^\circ$ with the direction of the incident beam,what is the interatomic spacing in the crystal lattice in $\mathring A$?
Medium
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo