What is the wavelength in metres of an electromagnetic wave with a frequency of 10^14/s?
c = fw
c = speed of light in m/s
f = frequency in Hz
w = wavelength in m
would this be the setup?
3*10^8/10^14
yes
To calculate the wavelength of an electromagnetic wave, you can use the formula:
wavelength = speed of light / frequency
The speed of light is a constant value, approximately 3 x 10^8 meters per second (m/s). The frequency given in the question is 10^14/s.
Plugging in these values into the formula, we have:
wavelength = (3 x 10^8 m/s) / (10^14/s)
To simplify the calculation, we can rewrite the frequency in scientific notation:
wavelength = (3 x 10^8 m/s) / (1 x 10^14/s)
Next, we can simplify the division by dividing the numerator and denominator by 10^8:
wavelength = (3 / 1) x (10^8 / 10^14) m
Since we are dividing a smaller exponent (10^8) by a larger exponent (10^14), the result will be a very small number. In scientific notation, the simplification would be:
wavelength = 3 x 10^(-6) m
Therefore, the wavelength of the electromagnetic wave with a frequency of 10^14/s is 3 x 10^(-6) meters.