Q.
The average life of an excited state of hydrogen atom is of the order 10−8s .The number of revolutions made by an electron when it is in state n=2 and before it suffers a transition to state n=9 are
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a
8.23×106
b
2.82×106
c
22.8×106
d
2.28×106
answer is A.
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Detailed Solution
Velocity of electronvn=2.19×106Znms−1The distance travelled by electron in 10−8 s Second Bohr’s Orbit =2.19×106×1×10−82m =1.095×10−2 mThe circumference of second orbit =2π r2 =2π×0.529×10−10×22 =13.3×10−10m∴ Number of revolutions=1.095×10−213.3×10−10=8.23×106
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