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12 grade chemistry others

Dual nature of matter was proposed by de Broglie in 1923 and was experimentally verified by Davisson and Germer through a diffraction experiment. The wave nature of matter is significant only for microscopic particles. The de Broglie wavelength, or the wavelength of a matter wave, is given by the equation:

λ = h / (mv)

where m is the mass and v is the velocity of the particle. The de Broglie hypothesis suggested that electron waves are diffracted by the target, similar to how X-rays are diffracted by atomic planes in crystals.

The de Broglie equation is derived from the combination of which of the following theories?

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

(This question has multiple correct options.)







Profile image of Aniket Singh
1 Year agoGrade
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1 Answer

Profile image of Askiitians Tutor Team
1 Year ago

This question has multiple correct options. The De Broglie equation is obtained by the combination of the following theories:

A. Planck’s quantum theory: Planck's quantum theory introduced the concept of quantization of energy, where energy is quantized in discrete packets called "quanta." This theory laid the groundwork for understanding the wave-like behavior of particles.

B. Einstein’s theory of mass-energy equivalence: Einstein's theory of mass-energy equivalence, famously represented by the equation E=mc^2, established the relationship between mass and energy. It showed that mass and energy are interchangeable, and this principle is also applicable to particles, including electrons.

So, the correct options are A and B.