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16. If travelling at same speeds, which of the followingmatter waves have the shortest wavelength?(a) Electron(b) Alpha particle (He2+)(c) Neutron(d) Proton |
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Answer» If travelling at same speeds, which of the following matter waves have the shortest wavelength?Correct option is(B).Alpha particle (He 2+ )According to de Broglie's equation λ= mvh where, λ= de-Broglie wavelengthh=6.626×10 −34 Js=Planck's constantm=mass of particlev= speed of particlethus, for different particles travelling at same speed, the wavelength is inversely proportional to their massesmass of electron = 9.110×10 −28 gmass of proton = 1.6727×10 −24 gmass of neutron = 1.6750×10 −24 gmass of Alpha particles 4 He 2+ =4× mass of proton=4×1.6727×10 −24 =6.68×10 −24 gHigher is the mass shorter will be the wavelength associated with it:Therefore alpha particles having highest mass thus will have shortest wavelength.the correct answer isoption (b) my frnds options (b) is correct for this question that is alpha particles |
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