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NEET PHYSICSMedium

In hydrogen spectrum, the shortest wavelength in the Balmer series is λ\lambda. The shortest wavelength in the Bracket series is

A

2λ2\lambda

B

4λ4\lambda

C

9λ9\lambda

D

16λ16\lambda

Step-by-Step Solution

Shortest wavelength 1λ=R(1nf20)\frac{1}{\lambda} = R(\frac{1}{n_f^2} - 0). For Balmer, nf=2n_f=2, 1λ=R(14)\frac{1}{\lambda} = R(\frac{1}{4}). For Bracket, nf=4n_f=4, 1λ=R(116)\frac{1}{\lambda'} = R(\frac{1}{16}). Thus λλ=164=4\frac{\lambda'}{\lambda} = \frac{16}{4} = 4, so λ=4λ\lambda' = 4\lambda.

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