Understanding the Relationship
The relationship between the speed of light (c), frequency (ν), and wavelength (λ) is given by:
c = νλ
Where:
* c = speed of light (approximately 3.00 x 10⁸ m/s)
* ν = frequency (in Hertz, Hz)
* λ = wavelength (in meters)
Calculations
1. Rearrange the equation to solve for wavelength:
λ = c / ν
2. Plug in the values:
λ = (3.00 x 10⁸ m/s) / (6.88 x 10¹⁴ Hz)
3. Calculate the wavelength in meters:
λ ≈ 4.36 x 10⁻⁷ m
4. Convert meters to nanometers (nm):
λ ≈ 4.36 x 10⁻⁷ m * (10⁹ nm/m) ≈ 436 nm
Answer:
The wavelength of blue light emitted by the mercury lamp is approximately 436 nm.
