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(i) StateBohr'squantizationconditionfor definingstationaryorbits. Howdoesde- Brogliehypothesis explainthe stationaryorbits ? (ii) findthe relation beweenthe threewavelengths lambda_(1), lambda _(2)" and"lambda_(3) from theenergyleveldiagramshown : |
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Answer» Solution :Only those ORBITS are STABLE for which the angular MOMENTUM of revolving electron is an integral multiple of `(h/(2pi))`where h is the PLANCK’s constant. Thus the angular momentum (L) of the orbiting electron is quantised. That is `L = (nh)/(2pi)` According to dc Broglie hypothesis Linear momentum `= h /lamda` and for CIRCULAR orbit L = rnp, where rn is the radius of quantised orbits `=r_nh/lamda` Also, `L=(nh)/(2pi)` `:. (r_nh)/lamda=(nh)/(2pi) " or" 2pir=nlamda` Hence, circumference of permitted orbits are integral multiples of the wavelength |
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