What is the frequency of a citizen's band(CB)radio which has a wavelength of 11.5meters?
Radio waves are electromagnetic waves and obey the relation
v=fλ
f=frequency (Hz)
λ=wavelength (m.)
v=velocity, m/s
and in vacuum,equals the speed of light for electromagnetic waves
c=3×108 m/s
in air, v is slightly less than c.
So solve for f in the above equation.
To find the frequency of a radio wave, you can use the formula:
Frequency (f) = Speed of Light (c) / Wavelength (λ)
The speed of light is approximately 3 x 10^8 meters per second (m/s).
Let's plug in the values:
f = 3 x 10^8 m/s / 11.5 meters
Calculating the frequency:
f = 2.61 x 10^7 Hz
So, the frequency of a citizen's band (CB) radio with a wavelength of 11.5 meters is approximately 26.1 megahertz (MHz).
To calculate the frequency of a radio wave given its wavelength, you can use the formula:
Frequency (f) = Speed of Light (c) / Wavelength (λ)
The speed of light is a constant value approximately equal to 3.00 x 10^8 meters per second (m/s).
In this case, the wavelength of the citizen's band (CB) radio is given as 11.5 meters.
Using the formula, we can calculate the frequency as follows:
f = 3.00 x 10^8 m/s / 11.5 meters
f = 2.61 x 10^7 Hz (rounded to two decimal places)
Therefore, the frequency of the CB radio is approximately 26.1 MHz (megahertz).