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If an electron of a hydrogen like atom goes from state n1 and n2. Find their possible values given time period of the electron in state n1 is eight times of that in another state.

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a

n1=8,n2=1

b

n1=4,n2=1

c

n1=4,n2=2

d

n1=2,n2=4

answer is C.

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Detailed Solution

From Bohr's theory we know that Time period T is directly proportional to n3 where n is the principal quantum numberGiven that T1=8T2⇒n13=8n23 ⇒n1=2n2

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If an electron of a hydrogen like atom goes from state n1 and n2. Find their possible values given time period of the electron in state n1 is eight times of that in another state.