To find the wavelength (λ) of blue light with a frequency (f) of 8.6×10¹³ Hz, we can use the formula:
λ = c / f
Where: λ is the wavelength in meters c is the speed of light in meters per second (approximately 3.00×10⁸ m/s) f is the frequency in hertz
Let's calculate it:
λ = (3.00×10⁸ m/s) / (8.6×10¹³ Hz)
λ = 3.49×10⁻⁶ meters
Since you asked for the wavelength in nanometers, we can convert meters to nanometers by multiplying by 10⁹:
λ = 3.49×10⁻⁶ meters * 10⁹ = 349 nanometers
Therefore, blue light with a frequency of 8.6×10¹³ Hz has a wavelength of approximately 349 nanometers.