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Question

Question: The shortest wavelength in the absorption spectrum of hydrogen (R = 1.096 × 10<sup>7</sup> m<sup>–1<...

The shortest wavelength in the absorption spectrum of hydrogen (R = 1.096 × 107 m–1) is –

A

91.6 nm

B

80.4 nm

C

9.16 nm

D

None

Answer

91.6 nm

Explanation

Solution

1λ\frac{1}{\lambda} = R [11212]\left\lbrack \frac{1}{1^{2}}–\frac{1}{\infty^{2}} \right\rbrack = 1λ\frac{1}{\lambda}= R

l = 1R\frac{1}{R} = 916 × 10–10 m = 91.6 nm