A radio wave traveling through Earth’s atmosphere has a frequency of 7.6270 × 108 Hz and a wavelength of 39.296 cm. How fast does this radio wave travel?
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Answer:
The speed of the radio wave traveling through Earth's atmosphere is approximately 2.9965 × 10⁸ meters per second.
Explanation:
- The speed of a radio wave can be calculated using the following formula:
Speed of wave = frequency × wavelength
- In this case, the frequency of the radio wave is given as 7.6270 × 10^8 Hz and the wavelength is given as 39.296 cm.
- First, we need to convert the wavelength from centimeters to meters to be consistent with the units of frequency, which is measured in hertz (Hz). To do this, we divide the wavelength by 100:
39.296 cm ÷ 100 cm/m = 0.39296 m
- Now we can use the formula to calculate the speed of the radio wave:
Speed of wave = 7.6270 × 10⁸ Hz × 0.39296m= 2.9965 × 10^8 m/s
- So the speed of the radio wave traveling through Earth's atmosphere is approximately 2.9965 × 10^8 meters per second.
- This is the speed of the radio wave in a vacuum, which is the maximum speed at which any electromagnetic wave can travel.
- In reality, the speed of the radio wave will be slightly slower as it travels through Earth's atmosphere due to the varying density and composition of the atmosphere.
To learn more about radio wave from the given link
https://brainly.in/question/15966142
https://brainly.com/question/69373
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Answer
- Frequency = 7.6270 × 10⁸ Hz
- Wavelength = 39.296 cm
- Speed of the radio wave = ?
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Speed of the radio wave :
⇒ Speed = Frequency × Wavelength
- f = 7.6270 × 10⁸ Hz
- wavelength = 39.296/100 (Converting it to m)
⇒ Speed = 7.6270 × 10⁸ × (39.296/100)
⇒ Speed = 7.6270 × 10⁸ × 0.39296
⇒ Speed = 2.997 × 10⁸
⇒ Speed ≈ 3 × 10⁸ m/s
Therefore the speed of the radio wave is 3 × 10⁸ m/s
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