de Broglie wavelength

de Broglie wavelength

1. de Broglie Wavelength Dr. Mithil Fal Desai Shree Mallikarjun and Shri Chetan Manju Desai College Canacona Goa

2. Dual Nature of electron Louis de Broglie (1924) postulated that some time electron act as particle and some time as wave e -

3. Calculating de Broglie wavelenth Planck’s quantum theory, E = Einstein E = mC 2 Thus,   Here, h is plank constant, is frequency, m is mass and C is speed of light  

4. Calculating de Broglie wavelength Mass and speed of light can be replaced by a mass of matter and velocity, we have or momentum (p) … de Broglie relation A circular wave is completely in a phase, the circumference of the orbit essentially be equivalent to the integral multiple of wavelength (λ) Therefore Circumference, 2πr = nλ here n is integer and r is radius Rearranging   2πr = nλ 2πr nλ  

5. Summary Bohr suggests that n is the principal quantum number , the number of waves an electron creates in a particular orbit is equal to the principal quantum number of the orbit.