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?

To determine the distance between the fringes on the screen, we can use the concept of interference in Young's double-slit experiment. The distance between the slits, the wavelength of light, and the distance to the screen are key factors in determining the fringe separation. Given the wavelength of light in air, the distance between the slits, and the distance to the screen, how far apart are the fringes on the screen?

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.

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