The speed of a light wave in a certain transparent material is 0.701 times its speed in vacuum, which is 3.00×108 m/s . When yel
low light with a frequency of 5.23×1014 Hz passes through this material, what is its wavelength ???? in nanometers?
1 answer:
Answer:
402 nm
Explanation:
First, we find the speed of light in this medium:
v = 0.701 * c
v = 0.701 * 3 * 10^8
v = 2.103 * 10^8 m/s
Speed of a wave is given as the product of wavelength and frequency:
v = λf
Where λ = wavelength
Wavelength, λ, becomes:
λ = v/f
The frequency of the light is 5.23 * 10^14 Hz, therefore, wavelength will be:
λ = (2.103 * 10^8) / (5.23 * 10^14)
λ = 4.02 * 10^(-7) m = 402 nm
The wavelength of the light is 402 nm.
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