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As per given figure A , B and C are the first, second and third excited energy levels of hydrogen atom respectively. If the ratio of the two wavelengths i . e . λ 1 λ 2 is 7 4 n , then the value of n will be

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Step-by-step solution

For λ 1 1 λ 1 = R Z 2 ( 1 2 2 - 1 3 2 ) = R 5 36       . . . ( i ) For λ 2 , 1 λ 2 = R Z 2 ( 1 3 2 - 1 4 2 ) = R 7 144       . . . ( i i ) Dividing (ii) by (i) λ 1 λ 2 = 7 144 5 36 = 7 20 So, 7 4 n = 7 20 ⇒ n = 5

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