Bohar proposed his atomic model based on Planck's quantum theory and derived following relations for one electron system in C.G.S units : r n = n 2 × r 1 , E n = E 1 × Z 2 , u n = 
; r 1 = 0.529 Å; u 1 = 2.19 × 10 8 cm/sec ; E 1 = – 13.6eV
For 1 electron systems, other than H
r n = 
;E n = 
; u n = 
Later on de Broglie proposed the dual nature of electron and put forward his wave concept. The wavelength of electron in an orbit was given by λ = h/mu
(i)The number of waves made by a Bohr electron in H-atom for one complete revolution in its 3 rd orbit are –
Text Solution
Verified by Experts(i)[C]; (ii) [D]; (iii)[B]
(i)[C]
Sol. No. of waves in an orbit during one revolution
= No. of orbit
(ii) [D]
Sol.2 π r 3 = 2 π r 1 × n 2 = 2 × 3.14 × 0.529 × 9
= 30 Å = 3.0 × 10
–7 cm = 3.0 × 10 –9 m
(iii)[B]
Sol.E 3 = 
= 
= 2.42 × 10 –19 J
Also P.E. = E 3 × 2
= – 4.84 × 10 –19 J
= – 4.84 × 10 –12 erg
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