I know that the formula to calculate the speed of light is c=fλ. F is the frequency, c is the speed, and λ is the wavelength. So how do I calculate the wavelength of a purple light with a frequency of 750 * 10^12 HZ. Frequency is measured in HZ. The speed is measured in m/second.
wavelength=speedlight/frequency
= 3E8/750E12 = 3/750 E-4 meters
work it out
To calculate the wavelength of purple light with a frequency of 750 * 10^12 Hz, we can use the formula c = fλ, where c is the speed of light (approximately 3 * 10^8 m/s), f is the frequency, and λ is the wavelength.
1. Start by rearranging the formula to solve for λ: λ = c / f.
λ = (3 * 10^8 m/s) / (750 * 10^12 Hz).
2. Simplify the equation by canceling out the common factor of 10^12:
λ = (3 * 10^8 m/s) / (7.5 * 10^14 Hz).
3. Divide the numerator and denominator by 10^8 to convert the speed of light to meters per second (m/s):
λ = 3 / (7.5 * 10^6 Hz).
4. Simplify the equation further to achieve a more practical wavelength value:
λ ≈ 4 * 10^-7 meters.
This means that the wavelength of the purple light with a frequency of 750 * 10^12 Hz is approximately 4 * 10^-7 meters.
Therefore, to calculate the wavelength of purple light with a frequency of 750 * 10^12 Hz, you can use the formula λ = c / f and substitute the values.