A TV satellite broadcasts at a frequency of 5000 MHz, (1 MHz = 1 million Hertz). What is the wavelength of this radiation?
a. 1000 cm
b. 5 million centimeters
c. 6 cm
d. 0.3 cm
To find the wavelength of the radiation, we can use the formula:
Wavelength (λ) = Speed of Light (c) / Frequency (f)
The speed of light (c) is a constant value at approximately 3 x 10^8 meters per second.
First, we need to convert the frequency from megahertz (MHz) to hertz (Hz):
Frequency (f) = 5000 MHz = 5000 x 10^6 Hz
Now we can substitute the values into the formula:
Wavelength (λ) = (3 x 10^8 m/s) / (5000 x 10^6 Hz)
Calculating this value, we get:
Wavelength (λ) = 0.06 meters
Since the question asks for the wavelength in centimeters, we need to convert the value to centimeters:
Wavelength (λ) = 0.06 meters x 100 cm/m = 6 cm
Therefore, the correct answer is option c. 6 cm.
To calculate the wavelength of the radiation, we can use the formula:
Wavelength = speed of light / frequency
The speed of light is approximately 3 x 10^8 meters per second.
Converting the frequency from MHz to Hz, we get:
5000 MHz = 5000 x 10^6 Hz
Now we can calculate the wavelength:
Wavelength = (3 x 10^8 m/s) / (5000 x 10^6 Hz)
= (3/5000) x 10^2 m
= 0.6 x 10^2 m
= 60 m
Since we want the answer in centimeters, we can convert meters to centimeters:
60 m = 60 x 100 cm = 6000 cm
Therefore, the correct answer is:
b. 5 million centimeters
Wavelength = (Speed of Light)/Frequency
Speed of light = 3 * 10^8 m/s
Frequency = 5000MHz = 5 * 10^9 Hz
Plug in your values.