Question

An AM radio station broadcasts at 1010 kHz, and its FM partner broadcasts at 98.3 MHz. Calculate and compare the energy of the photons emitted by these two radio stations.

Solution

Verified
Step 1
1 of 2
  • The wavelength of AM radio station is vAM=1010kHz=1010103Hz=1010103s1v_{AM} = 1010 \mathrm{kHz} = 1010 \cdot 10^{3} \mathrm{Hz} = 1010 \cdot 10^{3} \mathrm{s^{-1}}

  • The wavelength of FM radio station is vFM=98.3MHz=98.310106s1v_{FM} = 98.3 \mathrm{MHz} = 98.3 \cdot 10^{10^{6}} \mathrm{s^{-1}}

-The Plank's constant is h=6.6261034Jsh = 6.626 \cdot 10^{-34} \mathrm{J \cdot s}

Let us find the energy of photons emitted by these two radio stations.

\bullet The energy of AM radio stations is

EAM=hvAM=6.6261034Js1010103s1=6.691028J\begin{align*} E_{AM} &= h \cdot v_{AM}\\ &= 6.626 \cdot 10^{-34} \mathrm{J \cdot s} \cdot 1010 \cdot 10^{3} \mathrm{s^{-1}}\\ &= {\color{#4257b2}6.69 \cdot 10^{-28} \mathrm{J}} \end{align*}

\bullet The energy of FM radio stations is

EFM=hvFM=6.6261034Js98.310106s1=6.511026J\begin{align*} E_{FM} &= h \cdot v_{FM}\\ &= 6.626 \cdot 10^{-34} \mathrm{J \cdot s} \cdot 98.3 \cdot 10^{10^{6}} \mathrm{s^{-1}}\\ &= {\color{#4257b2}6.51 \cdot 10^{-26} \mathrm{J}} \end{align*}

Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy
Continue with GoogleContinue with Facebook

Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy
Continue with GoogleContinue with Facebook

Recommended textbook solutions

Pearson Chemistry by Matta, Staley, Waterman, Wilbraham

Pearson Chemistry

ISBN: 9780132525763Matta, Staley, Waterman, Wilbraham
3,748 solutions
Chemistry: The Central Science 14th Edition by Bruce Edward Bursten, Catherine J. Murphy, H. Eugene Lemay, Matthew E. Stoltzfus, Patrick Woodward, Theodore E. Brown

Chemistry: The Central Science

14th EditionISBN: 9780134414232Bruce Edward Bursten, Catherine J. Murphy, H. Eugene Lemay, Matthew E. Stoltzfus, Patrick Woodward, Theodore E. Brown
7,741 solutions
Modern Chemistry 1st Edition by Jerry L. Sarquis, Mickey Sarquis

Modern Chemistry

1st EditionISBN: 9780547586632Jerry L. Sarquis, Mickey Sarquis
2,184 solutions
Chemistry 10th Edition by Donald J. DeCoste, Steven S. Zumdahl, Susan A. Zumdahl

Chemistry

10th EditionISBN: 9781305957404 (1 more)Donald J. DeCoste, Steven S. Zumdahl, Susan A. Zumdahl
5,864 solutions

More related questions