What other film thicknesses in part (a) will produce constructive interference?

Question

What other film thicknesses in part (a) will produce constructive interference?

t2 = nm t3 = nm t4 = nm Calculate the minimum thickness of a soap-bubble film (w = 1.33) that will result in constructive interference in the reflected light if the film is illuminated by light with wavelength 602 nm in free space, Recalculate the minimum thickness for constructive interference when the soap-bubble film is on top of a glass slide with n = 1.50. STRATEGY In part (a) there is only one inversion, so the condition for constructive interference is 2nt = (m + 1/2)lamda.. The minimum film thickness for constructive interference corresponds to m = 0 in this equation. Part (b) involves two inversions, so 2nt = m lamda is required. Calculate the minimum thickness of the soap bubble film that will result in constructive interference. Solve 2nt = lamda/2 for the thickness t and substitute. 4(1.33) t= lamda/4n = 602 / 4 (1.33) = 113 nm Find the minimum soap film thickness when the film is on top of a glass slide with n = 1.33. Write the condition for constructive interference, when two inversions take place. 2 nt = m lamda. Solve for t and substitute t= m lamda/2n = 1.(602 nm)/ 2 (1.33) = 226 nm

Explanation / Answer

2nt = 3l/2, 5l/2, 7l/2 t = 339 nm, 565 nm, 791 nm

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