Calculating Fringe Separation in Young's Double-Slit Experiment
How to determine the distance between fringes on the screen in Young's double-slit experiment?
The fringes on the screen are approximately 3.13 mm apart.
To calculate the distance between the fringes on the screen in Young's double-slit experiment, we can use the formula for fringe separation:
fringe separation = (wavelength * distance) / slit separation
Given: - Wavelength of light in air (λ) = 470 nm = 470 × 10^(-9) m - Distance between the slits (d) = 6.00 × 10^(-5) m - Distance from the slits to the screen (L) = 40.0 cm = 0.40 m
Substitute the values into the formula: fringe separation = (470 × 10^(-9) m * 0.40 m) / 6.00 × 10^(-5) m
Solving the expression: fringe separation = (0.188 × 10^(-3)) / (6.00 × 10^(-5)) m fringe separation = 3.13 × 10^(-3) m
Therefore, the fringes on the screen are approximately 3.13 mm apart. It's important to note that the wavelength of light in the medium (water) would be different due to a change in refractive index, but the calculations are based on the wavelength in air.