To calculate:
the wavelengths (λ) corresponding to the broadcast frequencies (ν) of the following radio stations: a. KRNU (Lincoln, NE), 90.3 MHz b. WBEU (Providence, RI), 95.5 MHz c. WYLD (New Orleans, LA), 98.5 MHz d. WAAF (Boston, MA), 107.3 MHZ
Answer to Problem 3.21QA
Solution:
The wavelengths (λ) corresponding to the broadcast frequencies (ν) of the following radio stations:
a) KRNU (Lincoln, NE), 90.3 MHz is 3.32 m
b) WBEU (Providence, RI), 95.5 MHz is 3.14 m
c) WYLD (New Orleans, LA), 98.5 MHz is 3.04 m
d) WAAF (Boston, MA), 107.3 MHz is 2.79 m
Explanation of Solution
1) Concept: Wavelength and frequency are related each other by
2) Formula:
3) Given information: The broadcast frequencies (ν) of the following radio stations:
i. KRNU (Lincoln, NE), 90.3 MHz
ii. WBEU (Providence, RI), 95.5 MHz
iii. WYLD (New Orleans, LA), 98.5 MHz
iv. WAAF (Boston, MA), 107.3 MHZ.
Conversion factor:
4) Calculations:
Conversion of all given frequency from MHz to Hz. Hz is also same as per second.
Wavelength calculation:
Conclusion: The wavelengths of electromagnetic radiation is related to its frequency trough the speed of light. The corresponding to the broadcast frequencies of the listed stations are:
a) KRNU (Lincoln, NE), 90.3 MHz is 3.32 m
b) WBEU (Providence, RI), 95.5 MHz is 3.14 m
c) WYLD (New Orleans, LA), 98.5 MHz is 3.04 m
d) WAAF (Boston, MA), 107.3 MHz is 2.79 m
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