Pure red light has a frequency of 4.28 × 1014 s-1. What wavelength does this correspond to?
Question
Pure red light has a frequency of 4.28 × 10¹⁴ s⁻¹. What wavelength does this correspond to?
Solution
To find the wavelength of the light, we can use the formula for the speed of light, which is c = λν, where c is the speed of light, λ is the wavelength, and ν is the frequency.
The speed of light is approximately 3.00 × 10^8 m/s.
We can rearrange the formula to solve for the wavelength: λ = c / ν.
Substituting the given values into the formula, we get:
λ = (3.00 × 10^8 m/s) / (4.28 × 10^14 s^-1)
This gives us a wavelength of approximately 700 nm (nanometers).
So, the wavelength of pure red light is approximately 700 nm.
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