Answer:
The minimum thickness of the soap bubble for destructive interference to occur is 225.56 nm.
Step-by-step explanation:
Given;
wavelength of light, λ = 600 nm
The minimum thickness of the soap bubble for destructive interference to occur is given by;
![t = (\lambda/n)/(2)\\\\t = (\lambda)/(2n)](https://img.qammunity.org/2021/formulas/physics/college/gmjomic94vno69q0d4neanso6agpkzc8w2.png)
where;
n is refractive index of soap film = 1.33
![t = (\lambda)/(2n) \\\\t = (600*10^(-9))/(2(1.33))\\\\t = 2.2556 *10^(-7) \ m\\\\t = 225.56 *10^(-9) \ m\\\\t = 225.56 \ nm](https://img.qammunity.org/2021/formulas/physics/college/oj53i7uvykq2taayys2stl0mfb5srhl7y5.png)
Therefore, the minimum thickness of the soap bubble for destructive interference to occur is 225.56 nm.