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if the difference b/w the radii of (n+1)th orbit and nth orbit is equal to the radius of (n-1 ) orbit find the value of n
Asked by roshanrocky334 | 13 Jan, 2024, 11:52: AM

According to Bohr's model, radius of n-th orbit of hydrogen atom is

where n is orbital quantum number , m is mass of electron, h is planck's constant , εo is permittivity of free space and e is charge on electron.

Hence n-th orbit is proportional to square of quantum number n

.........................(1)

..............................(2)

if difference of (n+1)-th orbit and n-th orbit equals n-1)-th orbit radius , then we get from eqn.(1) and (2) ,

(n-1)2 = (2n +1)

By solving above expression, we get n = 4

Answered by Thiyagarajan K | 13 Jan, 2024, 01:06: PM

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