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Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692

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BuyFindarrow_forward

Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692
Chapter 7, Problem 2SC
Textbook Problem
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Which photons contain more energy, X-ray photons with a frequency of 3 × 10 17 Hz or ultraviolet photons with a frequency of 2 × 10 15 Hz?

X-ray photons

Ultraviolet photons

Neither. They both contain the same energy per photon.

Interpretation Introduction

Interpretation:

The photon with higher energy is to be determined.

Concept Introduction:

The number of waves or crests that pass through a stationary point in one second is called frequency of the wave.

Small packets of energy associated with light (electromagnetic radiation), are known as photons.

The relation between energy of a photon and its wavelength is as follows:

Εphoton1λ

Here, Εphoton is the energy per photon and λ is the wavelength of light.

The wavelength of the radiation is related to frequency of the radiation by the following expression:

λ=cν

Here, λ is the wavelength of the radiation, c is the speed of light and ν is the frequency of the radiation.

Explanation of Solution

Given information: Frequency of X-ray photons is 3×1017Hz and frequency of ultraviolet photons is 2×1015Hz.

Reason for the correct option:

The relation between the energy of a photon and wavelength is as follows:

Εphoton1λ

Hence, λ is inversely proportional to Εphoton(energy per proton).

Also, the wavelength of the radiation is related to the frequency as follows:

λ=cν

Hence, λ is inversely proportional to ν.

Therefore, by combining the two expressions provided above, we get

Εphotonνc

This means Εphoton is directly proportional to the frequency of the photon

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Chemistry In Focus
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