Calculate the ratio of the velocity of light to the velocity of electron in the first orbit of a hydrogen atom. (h=6.624×10−27erg−sec;me=9.108×10−28g;rn=1=0.529×10−8cm)
A
1
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B
137
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C
6
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D
225
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Solution
The correct option is B 137 According to Bohr's postulate, velocity of an electron in Bohr orbit can be given by: vn=2.189×106Znm/s
Since for H, Z = 1. putting up the values vn=2.189×106m/s
The ratio of the velocity of light (c) to the velocity of electron in the first orbit of a hydrogen atom (v) cv=3×1082.189×106=137