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In accordance with the Bohr's model, fi...

In accordance with the Bohr's model, find the quantum number that characterise the earth's revolution around the Sun in an orbit of radius ` 1.5 xx 10^(11)` m with orbital speed `3 xx 10^(4) m//s` .

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Here , orbital radius of 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.s model , 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) xx 3 xx 10^(4) xx 1.5 xx (10^(11))/(6.63 xx 10^(-34)) =2.6 xx 10^(74)`.
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