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In accordance withthe Bohr's model, find the quantum numberthat characterisethe earth'srevolutionaroundthe Sunin an orbitof radius1.5 xx 10^(11)m withorbital speed 3 xx 10^(4) m//s . |
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Answer» SOLUTION :Here , orbital radiusof earth `r = 1.5 xx 10^(11)` m , orbital speed of earth ` v = 3 xx 10^(4) m//s`and mass of earth`m=6.0 xx 10^(24) kg` As per Bohr.smodel, ANGULAR momentum `mv_(n)r_(n) = (n H)/(2pi)` `rArr` Quantum number ` n = (2 pi m v_(n) .r_(n))/(h) = 2 xx 3.142 xx 6.0 xx 10^(24) xx 3 xx 10^(4) xx3 xx 10^(4) xx 1.5 xx (10^(11))/(6.63 xx 10^(-34)) =2.6 xx 10^(74)`. |
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