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Physics solution

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Science

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Study Guide

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Question: Calculate the wavelength (in nm) of a photon emitted by a
hydrogen atom when its electron drops from the n=4 state to the n=1 state.
Solution :
We use Bohr's formula--
1/ wavelength= Rh [1/N^2 - 1/ n^2] * Z..........where N = 1 and n = 4
1/ wavelength= Rh [1/1 - 1/ 16] * 1
1/ wavelength= Rh [1 - 1/ 16]
1/ wavelength= Rh [(16 – 1)/ 16]
1/ wavelength= Rh [15/ 16]
wavelength = 911.5 A * 16/15 .......where A is angstrom
= 972.2667 A
= 97.2667 nm.
Hence Wavelength = 97.2667 nm

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