Question

# Calculate the shortest wavelength in the Balmer series of hydrogen atom. In which region (infrared, visible, ultraviolet) of hydrogen spectrum does this wavelength lie?

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Solution

## The formula for wavelength (λ) in Balmer series is: 1λ=R(122−1n2) where n=3, 4, 5... and R=1.097×107m−1 is the Rydberg constant. 1λ=1.097×107 m−1×(122−1∞2) 1λ=1.097×107×(0.25−0) 1λ=0.2743×107 λ=3.6463×10−7 =364.63×10−9m =364.63 nm This wavelength lies in the visible region of the hydrogen spectrum.

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