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Question

If in Bohr’s model, the time period of revolution is represented as Tn,z (where n represents shell number and Z represents atomic number). Then the value of T1,2:T2,1 will be:

A
8 : 1
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B
1 : 8
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C
1 : 1
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D
1 : 32
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Solution

The correct option is D 1 : 32
Time period of revolution in nth Bohr's orbit is given by, Tn=2πrnvn
According to Bohr's model of atom, rnn2Z and vnZn
Therefore, Tn(n2Z)(Zn) or Tnn3Z2
Applying it for the given question, we get
T1,2:T2,1=(1322)2312=1:32

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