Astronomy Today (9th Edition)
Astronomy Today (9th Edition)
9th Edition
ISBN: 9780134450278
Author: Eric Chaisson, Steve McMillan
Publisher: PEARSON
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Chapter 4, Problem 1D
To determine

The meaning of absorption and emission spectrum and their relationship.

Expert Solution & Answer
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Explanation of Solution

Introduction

Spectrum is formed on emission or absorption of light energy by electron. It is a characteristic for particular element. Each element has its own spectra.

Absorption spectrum: The spectrum formed as a result of jump of an electron from lower to higher energy level when energy in form of photon is supplied to it. The absorbed wavelength vanishes from spectrum.

Emission spectrum: The spectrum formed as a result of emission of electron from excited energy level to its ground state. The energy is released in form of a photon. It shows emitted wavelength

Relation between them: Since, energy difference between two energy levels is same while going from upper to lower (emission) or from lower to upper (absorption), frequency of photon is same as energy depends on frequency. Hence color of light is same emitted or absorbed is same for two energy levels.

ΔE( absoption )=ΔE (emission)

Conclusion

Absorption spectrum is formed when electron jumps from lower to higher energy level and vice-versa for emission spectrum.The frequency of absorbed and emitted light is same for both spectrum.

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For the following homework problems please show all of your work. 1. If the energy of a photon is given by the equation E = hv, where h is known as Planck's constant, and has the value of h = 4.136 x 10-15 eV -s, then complete the following table. Please note: the unit called an electron volt (eV) is a unit of energy whose value is compa- rable to the values seen in atomic transitions, and a Hertz is Hz = 1/s. Be sure to show all of your work! %3D Spectral Region | Frequency (v) Radio Energy (E) 3.00 x 10° Hz Microwave 1.24 x 10- eV |Infrared 3.00 x 1012 Hz Red 1.77 eV Yellow 6.00 x 10" Hz Blue 3.10 eV 3.00 x 105 Hz 3.00 x 1019 Hz Ultraviolet X-Ray Gamma Ray 1.24 x 10° eV

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