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Which one of the following statements is not true of de-Broglie waves(a) All atomic particles in motion have waves of a definite wavelength associated with them(b) The higher the momentum, the larger is the wavelength(c) The fater the particle, the shorter is the wavelength(d) For the same velocity, a heavier particle has a shorter wavelength |
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Answer» Option (b) The higher the momentum, the larger is the wavelength Explanation : As,λ = h/p = h/mv where, h = Planck's constant, λ = wavelength, p = mv = momentum It is shown that wavelength λ is inversely proportional to the momentum. Hence, lighter the momentum, lesser will be the wavelength. So, statement (b) is not true. Option (b) is incorrect , Explanation By deBroglie equation we know , λ = h/p = h/mv where, h = Planck's constant, λ = wavelength, p = mv = momentum As the wave length λ is inversely proportional to momentum mv . So higher the momentum shorter is the wavelength. |
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