Give the explanation of topic of de broglie and it's numerical
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7.5.3 Experimental Verification of the de Broglie Wavelength
Davisson–Germer experiment. In this experiment electrons were scattered off of nickel crystals as in an X-ray scattering experiment. The electrons had a kinetic energy of 54 eV (electron volts) = 8.6 × 10−11 ergs, which corresponds to a momentum of magnitude p = (2meE)1/2 = 3.9 × 10−19 g cm/s. The de Broglie wavelength for this particle is λdeB = 1.67 × 10−8 degrees. This prediction was found to be true in their experiment.
Davisson–Germer experiment. In this experiment electrons were scattered off of nickel crystals as in an X-ray scattering experiment. The electrons had a kinetic energy of 54 eV (electron volts) = 8.6 × 10−11 ergs, which corresponds to a momentum of magnitude p = (2meE)1/2 = 3.9 × 10−19 g cm/s. The de Broglie wavelength for this particle is λdeB = 1.67 × 10−8 degrees. This prediction was found to be true in their experiment.
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Problem:
What is the wavelength of an electronmoving at 5.31 x 106 m/sec?
Given: mass of electron = 9.11 x 10-31 kg
h = 6.626 x 10-34 J·s
Solution:
de Broglie's equation is
λ = h/mv
λ = 6.626 x 10-34 J·s/ 9.11 x 10-31 kg x 5.31 x 106 m/sec
λ = 6.626 x 10-34 J·s/4.84 x 10-24 kg·m/sec
λ = 1.37 x 10-10 m
λ = 1.37 Å
What is the wavelength of an electronmoving at 5.31 x 106 m/sec?
Given: mass of electron = 9.11 x 10-31 kg
h = 6.626 x 10-34 J·s
Solution:
de Broglie's equation is
λ = h/mv
λ = 6.626 x 10-34 J·s/ 9.11 x 10-31 kg x 5.31 x 106 m/sec
λ = 6.626 x 10-34 J·s/4.84 x 10-24 kg·m/sec
λ = 1.37 x 10-10 m
λ = 1.37 Å
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The de Broglie equation is an equation used to describe the wave properties of matter, specifically, the wave nature of the electron: λ = h/mv, where λ is wavelength, h is Planck's constant, m is the mass of a particle, moving at a velocity v. de Broglie suggested that particles can exhibit properties of waves.
The de Broglie equation is an equation used to describe the wave properties of matter, specifically, the wave nature of the electron: λ = h/mv, where λ is wavelength, h is Planck's constant, m is the mass of a particle, moving at a velocity v. de Broglie suggested that particles can exhibit properties of waves.
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