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Q.

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

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a

0.73×106 m/s

b

3.0×108 m/s

c

2.92×106 m/s

d

1.46×106 m/s

answer is D.

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Detailed Solution

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Energy of electron in He+ 3rd orbit 

E3=-13.6×Z2n2eV=-13.6×49eV

       =-13.6×49×1.6×10-19 J9.7×10-19 J

As per Bohr's model,

Kinetic energy of electron in the 3rd orbit = - E3

  9.7×10-19=12mev2

v=2×9.7×10-199.1×10-31=1.46×106 m s-1

 

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