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Question

# An electron is moving in an orbit of a hydrogen atom from which there can be a maximum of six transitions. An electron is moving in an orbit of another hydrogen atom from which there can be a maximum of three transitions. The ratio of the velocity of the electron in these two orbits is

A
12
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B
21
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C
54
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D
34
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Solution

## The correct option is D 34Case-1, when a maximum of six transitions is possible, then we can figure out that 6 transitions are only possible when n=4. That's if the electron is in the fourth orbit, then only 6 transition as possible.Similarly, for case2, the maximum number of 2 transitions are possible only when n=3 or the electron is in 3rd orbit.And we know that velocity of any electron in an orbit is goven byV=(2πkZe2h)1n→V∝1nwhich implies that for 1st and 2nd case.V1V2=(1n1)(1n2)=n2n2=34

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