Using the equation for the distance between fringes, Δy = xλ d, complete the following. (a) Calculate the distance (in cm) between fringes for 694 nm light falling on double slits separated by 0.0850 mm, located 4.00 m from a screen. cm (b) What would be the distance between fringes (in cm) if the entire apparatus were submersed in water, whose index of refraction is 1.333? cm

Distance between fringe or fringe width = xλ / d

where x is location of screen and d is slit separation

Given x = 4 m

λ = 694 nm

d =.085 x 10⁻³ m

distance between fringes

= 4 x 694 x 10⁻⁹ /.085 x 10⁻³

= 4 x 694 x 10⁻⁹ / 85 x 10⁻⁶

= 32.66 x 10⁻³ m

= 32.66 mm.

3.267 cm

b)

when submerged in water, wavelength in water becomes as follows

wavelength in water = wave length / refractive index

= 694 / 1.333 nm

= 520.63 nm

new distance between fringes

3.267 / 1.333

= 2.45 cm.