To find the wavelength of the monochromatic light passing through two slits, we can use the equation for the interference pattern:
λ = (d * sinθ) / m
Where:
λ is the wavelength of light,
d is the separation between the slits,
θ is the angle at which the bright line is formed relative to the incident beam,
m is the order of the bright line.
In this case, we are given:
d = 0.00800 mm = 0.00800 × 10^(-3) m
θ = 16.0°
m = 3 (since it's the third bright line)
Plugging in these values, we can calculate the wavelength:
λ = (0.00800 × 10^(-3) m * sin(16.0°)) / 3
Calculating this expression gives us:
λ ≈ 73.5 nm
Therefore, the wavelength of the light is approximately 73.5 nm.