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Consider 3rd orbit of He+ (Helium), using non-relativistic approach, the speed of electron in this orbit will be [given K=9x109 constant,  Z = 2 and h (Planck's Constant) =6.6×10-34 J s

a
0.73×106 m/s
b
3.0×108 m/s
c
2.92×106 m/s
d
1.46×106 m/s

detailed solution

Correct option is D

Energy of electron in He+ 3rd orbit E3=-13.6×Z2n2eV=-13.6×49eV       =-13.6×49×1.6×10-19 J≃9.7×10-19 JAs per Bohr's model,Kinetic energy of electron in the 3rd orbit = - E3∴  9.7×10-19=12mev2v=2×9.7×10-199.1×10-31=1.46×106 m s-1

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If speed of electron in the ground state of hydrogen atom is 2.2×106m/s, which of the following cannot be the speed of electron in any orbit of He+ ion?


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