The wavelength of the first Balmer line caused by a transition from the n = 3 level to the n = 2 level in hydrogen is \lambda_1 The wavelength of the line caused by an electronic transition from n = 5 to n = 3 is

KVPY SX SB Exam 20141 Question Paper

Question : 39 of 120

Marks: +1, -0

The wavelength of the first Balmer line caused by a transition from the n = 3 level to the n = 2 level in hydrogen is

λ_1

The wavelength of the line caused by an electronic transition from n = 5 to n = 3 is

Solution:

1/λ_1=R[1/2^2-1/3^3]

1/λ_1=R[1/4-1/9]

1/λ_1=R[5/36]

....(1)

1/λ_2=R[1/9-1/25]

1/λ_2=R[16/{9×25}]

....(2)
From (1) & (2)

λ_2/λ_1={5/36} ÷{16/{9×25}}

λ_2=5/36×{9×25}/16=125/64λ_1

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