Answer:
Step-by-step explanation:
We can use the equation for the wavelength of light that passes through a double-slit interference pattern
λ = (d * sinθ) / m
where λ is the wavelength of light
d is the distance between the two slits
θ is the angle between the m=0 and m=1 interference lines
m is the order of the interference line.
Given that
d = 6 X 10^-5 meters
θ = 10 degrees
Interference between the m=0 and m=1 interference lines, so m = 1
Converting θ to radians:
θ = 10 degrees = 0.174533 radians
Put the values in given equation
λ = (6 X 10^-5 meters * sin(0.174533 radians)) / 1
λ ≈ 6.89 X 10^-7 meters
Therefore, the wavelength of light that shines on two slits that are 6 X 10^-5 meters apart and that angle between m=0 and m=1 interference lines is 10 degrees is approximately 6.89 X 10^-7 meters.