A radio wave travels through space with a frequency of 2 x 104 Hz. If the speed of the radio wave is 3 x 108 m/s, what is the wavelength of this wave?
6 x 1012 m
1.5 x 104 m
1 x 104 m
6.7 x 10-4 m
Can someone show me how to solve this?
To find the wavelength of a wave, you can use the formula:
wavelength = speed / frequency
Given that the speed of the radio wave is 3 x 10^8 m/s and the frequency is 2 x 10^4 Hz, you can substitute the values into the formula:
wavelength = (3 x 10^8 m/s) / (2 x 10^4 Hz)
Now, you can simplify the equation:
wavelength = (3 x 10^8 m/s) / (2 x 10^4 Hz)
wavelength = (3 / 2) x (10^8 / 10^4) m
wavelength = 1.5 x 10^4 m
Therefore, the wavelength of the radio wave is 1.5 x 10^4 m. So the correct answer is: 1.5 x 10^4 m.
To solve this problem, we can use the formula for the relationship between frequency, wavelength, and speed of a wave:
Speed of a wave = Frequency x Wavelength
In this case, we are given the frequency (2 x 10^4 Hz) and the speed of the wave (3 x 10^8 m/s). We need to find the wavelength.
Rearranging the formula, we can solve for wavelength:
Wavelength = Speed of a wave / Frequency
Substituting the given values:
Wavelength = (3 x 10^8 m/s) / (2 x 10^4 Hz)
Now, we can simplify this expression:
Wavelength = 1.5 x 10^4 m
Therefore, the wavelength of this wave is 1.5 x 10^4 m.
So, the correct answer choice is: 1.5 x 10^4 m.