The electron in a hydrogen atom makes a transition from n=n₁ to n=n₂ state. The time period of the electron in the initial state n₁ is eight times that in the final state n₂ . The possible values of n₁ and n₂ are

Step-by-step solution

Here, for hydrogen atom, Z=1 We know that, time period of electron in n th orbit is given as aligned T_ n & n³ & T_ n₁ T_ n₂ = n₁³ n₂³ aligned Since, T_ n₁ =8 T_ n₂ 8 T_ n₂ T_ n₂ = n₁³ n₂³ 2³= ( n₁ n₂ )³ n₁=2 n₂ Hence, this condition satisfies only in option (b). i.e., n₁=4 and n₂=2