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Derive de-Broglie equation. |
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Answer» Solution :De- Broglie combined the following two equations of ENERGY of which one represents wave character(hu)and the other represents the particle nature `(MC^(2))` . (i)Planck's quantum hypothesis : E = hv (II)Einsteins mass-energy relationship : E = `mc^(2)` From (i) and (ii) hn` = mc^(2)` `hc//lambda= mc^(2)` `lambda = H //mc` The equation represents the wavelength of photons whose momentum is given by mc (Photons have zero rest mass) For a particle of matter mass m and moving with a velocityv, the equation can be written as ` lambda = h //mv ` This is valid only when the particle travels at speeds muchless than the speed of light . |
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