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Dual nature of matter was proposed by de Broglie in 1923, it was experimentally verified by Davisson and Germer by diffraction experiment. Wave character of matter has significance only for microscopic particles. de Broglie wavelength or wavelength of matter wave can be calculated using the following relation: $$\lambda =\dfrac { h }{ mv } $$ where, '$$m$$' and '$$v$$' are the mass and velocity of the particle. de Broglie hypothesis suggested that electron waves were being diffracted by the target, much as $$X$$-rays are diffracted by planes of atoms in the crystals.
De-Broglie equation is obtained by combination of which of the following theories?


A
Planck's quantum theory
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B
Einstein's theory of mass-energy equivalence
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C
Theory of interference
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D
Theory of diffraction
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Solution

The correct options are
A Planck's quantum theory
C Einstein's theory of mass-energy equivalence
Planck's quantum theory$$\Rightarrow $$E=$$h\nu $$
Einstein's theory of mass-energy equivalence$$\Rightarrow $$E$$=mc^2$$
$$mc^2$$=$$h\nu $$
$$mc^2$$=$$\cfrac{h}{\lambda}$$
$$\lambda=\cfrac{h}{nc}$$      velocity=$$\nu$$
$$\lambda=\cfrac{h}{nv}$$ $$\Rightarrow$$debroglies equation 


Chemistry

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