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.
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Similar Questions
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 SolutionIn the Davisson-Germer experiment,an electron beam with a wavelength of $1.5 \ \mathring{A}$ is incident normally on a crystal with an atomic spacing of $3 \ \mathring{A}$. At what angle (in degrees) will the first maximum be formed?
Medium
View SolutionWhich of the following statements is incorrect regarding the Davisson-Germer experiment?
Easy
View SolutionExplain the method of the Davisson and Germer experiment and its results.
Medium
View SolutionThe 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
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