what is the frequency of the radio wave transmitted by an AM radio station whose wavelength is 2.94 m? Compute the frequency of radio wave using GRESA METHOD?
Given:
Required:
Equation:
Solution:
Answer:
To compute the frequency of a radio wave using the GRESA method, you can use the following formula:
Frequency (f) = Speed of Light (c) / Wavelength (λ)
1. Speed of Light (c): The speed of light in a vacuum is approximately 299,792,458 meters per second (m/s).
2. Wavelength (λ): In this case, the given wavelength is 2.94 m.
Let's compute the frequency using the GRESA method:
1. Plug in the values into the formula:
Frequency (f) = 299,792,458 m/s / 2.94 m
2. Simplify the calculation:
Frequency (f) ≈ 102,005,661.22 Hz
Therefore, the frequency of the radio wave transmitted by the AM radio station is approximately 102.01 MHz (megahertz).
To compute the frequency of a radio wave using the GRESA method, you can follow these steps:
1. Start with the given wavelength. In this case, the wavelength is 2.94 m.
2. Recall the formula that relates the wavelength (λ) and the frequency (f) of a wave:
Speed of light (c) = Wavelength (λ) x Frequency (f)
3. The speed of light in a vacuum is approximately 3 x 10^8 meters per second (m/s). Therefore, you can substitute the known values into the formula:
3 x 10^8 m/s = 2.94 m x Frequency (f)
4. Rearrange the equation to solve for the frequency:
Frequency (f) = (3 x 10^8 m/s) / 2.94 m
5. Calculate the value:
Frequency (f) = 1.02 x 10^8 Hz
Therefore, the frequency of the radio wave transmitted by the AM radio station with a wavelength of 2.94 m is approximately 1.02 x 10^8 Hz (hertz).