An electron in hydrogen atom makes a transition n 1 → n 2 where n 1 are principle quantum numbers of the two states. Assuming Bohr's model to be valid, the time period of the electron in th

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An electron in hydrogen atom makes a transition n 1 ​ → n 2 ​ where n 1 ​ are principle quantum numbers of the two states. Assuming Bohr's model to be valid, the time period of the electron in the initial state is eight times that in the final state. The possible values of n 1 ​ and n 2 ​ are:NEET 2013 (Karnataka)

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Time period of an electron in Bohr orbit is ⇒ T ⇒ T 2 ​ T 1 ​ ​ ​ T = m e 4 4 ε 0 2 ​ h 3 n 3 ​ ∝ n 3 = n 2 3 ​ n 1 3 ​ ​ ​ As T 1 ​ = 8 T 2 ​ then ⇒ ⇒ ⇒ ⇒ ​ ( T 2 ​ 8 T 2 ​ ​ ) ( n 2 ​ n 1 ​ ​ ) 3 n 2 ​ n 1 ​ ​ n 1 ​ ​ = n 2 3 ​ n 1 3 ​ ​ = ( 2 2 ) 3 = 2 2 = 2 n 2 ​ ​

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