de Broglie Wavelength Of An Electron As Determinant Of Velocity Of An Electron
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de Broglie Wavelength Of An Electron As Determinant Of Velocity Of An Electron Assume the particle illustrated in Figure 22.13 is an electron moving with velocity v:
(a) How fast would the electron be moving in order to have a wavelength of 0.711 Å?
(b) Under certain conditions, the element molybdenum emits light with characteristic wavelength of 0.711 Å. What region of the electromagnetic spectrum do the emitted light belong?
(c) Name an important use for the light emitted by molybdenum.

The strings: S7P5A51 (Change - Physical Change)

The math:
Pj Problem of Interest is of type change (physical change). Velocity problems are change problems because it measures rate of change of distance with respect to time. (a) The de Broglie equation that relates the wavelength of a particle with the velocity of a particle is:
λ = h/(mv) --------------(1)
Where λ is wavelength in meters; h is Plank's constant in Joules-sec; m is mass of particle in kilogram; v is velocity of particle in meter/sec.
So, from equation (1) we have:
v = h/(λm)
Plank's constant, h = 6.626 x 10-34 J-s = 6.626 x 10-34 kg-m2/s2;
Mass of electron = 9.109 x 10-28 g = 9.109 x 10-28 /103 kg.
Wavelength, λ = 0.711 Å = 0.711 x 10-10 m.
So, v = (6.626 x 10-34) /[(0.711 x 10-10) x (9.109 x 10-28 /103)
So, v = (6.626 x 10-34)/(6.476 x 10-41)
So, v = (6.626/6.476) x 10-34 x 1041
So, v = 1.02 x 107 m/sec.
So, speed of electron will be 1.02 x 107 m/sec, if it is to have a wavelength of 0.711 Å.

(b) If the conditions are appropriate, molybdenum emits X rays.

(c) X rays emitted by molybdenum are used in diffraction experiments to determine the structure of molecules.

Math The Universe is composed of matter and radiant energy. Matter is any kind of mass-energy that moves with velocities less than the velocity of light. Radiant energy is any kind of mass-energy that moves with the velocity of light.
Periodic Table
Composition And Structure Of Matter
How Matter Gets Composed
How Matter Gets Composed (2)
Molecular Structure Of Matter
Molecular Shapes: Bond Length, Bond Angle
Molecular Shapes: Valence Shell Electron Pair Repulsion
Molecular Shapes: Orbital Hybridization
Molecular Shapes: Sigma Bonds Pi Bonds
Molecular Shapes: Non ABn Molecules
Molecular Orbital Theory
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