Question

In the figure below (not to scale), let L = 1.20 m and d = 0.100 mm and assume the slit system is illuminated with monochromatic 470-nm light.

In the figure below (not to scale let L 1.20 m and d 0.100 mm and assume the slit system is illuminated with monochromatic 470-nm light. Viewing screen. (a) Calculate the phase difference between the two wave fronts arriving at P when 0 0.500 11.66 rad (b) Calculate the phase difference between the two wave fronts arriving at P when y 00 mm. 5.57 rad (c) What is the value of 0 for which the phase difference is o.333 rad? .011 Your response differs from the correct answer by more than 10%. Double check your calculations. (d) what is the value of 0 for which the path difference is 4?

Answer 1

L-120 m d-0.1 m λ=470 nm 470x10 m Use the following formula for the Phase difference Rearrange the above equation for sin8 Calculate the angle as follows. 57.3 rad 0.333 rad 470x10 m 10* m 2(3.14) 0.1 mm1 mm 0.01428 θ-sin-1 (0.01428) = 0.820 The path difference is Use the following formula 2dsin6- Rearrange the above formula for 6 4 8d 470x10-9 nm 10-* m sin(0.0005875) = 0.03360