FM-95, an FM radio station, broadcasts at a frequency of 9.51 x 107 s-1(95.1 MHz). What is the wavelength of these radio waves in meters? 6.56 m 1.84 m 3.15 m 12.23 m
FM-95, an FM radio station, broadcasts at a frequency of 9.51 x 107 s-1(95.1 MHz). What is the wavelength of these radio waves in meters? 6.56 m 1.84 m 3.15 m 12.23 m
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![**Understanding Radio Wave Wavelengths: A Problem Example**
FM-95, an FM radio station, broadcasts at a frequency of \(9.51 \times 10^7 \, \text{s}^{-1} \) (95.1 MHz). What is the wavelength of these radio waves in meters?
**Options:**
- \(6.56 \, \text{m}\)
- \(1.84 \, \text{m}\)
- \(3.15 \, \text{m}\)
- \(12.23 \, \text{m}\)
**Explanation:**
To calculate the wavelength of radio waves, use the formula:
\[ \lambda = \frac{c}{f} \]
where \( \lambda \) is the wavelength, \( c \) is the speed of light (\(3.00 \times 10^8 \, \text{m/s}\)), and \( f \) is the frequency of the radio wave.
1. Convert the given frequency to standard units if necessary.
2. Substitute the values into the formula to find the wavelength.
This example helps learners understand the relationship between frequency and wavelength of electromagnetic waves and apply this concept to real-world situations like radio broadcasting.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbf8e267e-10e5-42d7-8fd7-a8f3672a74ed%2Feeb34e28-2c20-48b2-9d85-65ed4daee7ac%2Ffrl347f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Understanding Radio Wave Wavelengths: A Problem Example**
FM-95, an FM radio station, broadcasts at a frequency of \(9.51 \times 10^7 \, \text{s}^{-1} \) (95.1 MHz). What is the wavelength of these radio waves in meters?
**Options:**
- \(6.56 \, \text{m}\)
- \(1.84 \, \text{m}\)
- \(3.15 \, \text{m}\)
- \(12.23 \, \text{m}\)
**Explanation:**
To calculate the wavelength of radio waves, use the formula:
\[ \lambda = \frac{c}{f} \]
where \( \lambda \) is the wavelength, \( c \) is the speed of light (\(3.00 \times 10^8 \, \text{m/s}\)), and \( f \) is the frequency of the radio wave.
1. Convert the given frequency to standard units if necessary.
2. Substitute the values into the formula to find the wavelength.
This example helps learners understand the relationship between frequency and wavelength of electromagnetic waves and apply this concept to real-world situations like radio broadcasting.
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