light travelling in air is incident on a soap bubble. If the path difference through the soap bubble is 2.5λ:

a) constructive interference will occur
b) destructive interference will occur
c) partial interference will occur
d) none of the above

Would the answer be a?

upon reflection on the inner surface, another 180deg shift occurs, so the path lenght is 3.0 wavelength, so it is constructive interference.

To answer this question, we need to determine whether the path difference of 2.5λ leads to constructive interference, destructive interference, or partial interference.

Constructive interference occurs when the path difference is an integer multiple of the wavelength (λ). Destructive interference occurs when the path difference is a half-integer multiple of the wavelength.

In this case, the path difference is 2.5λ, which is neither an integer nor a half-integer multiple of the wavelength. Therefore, neither constructive nor destructive interference will occur.

Therefore, the correct answer to the given question would be d) none of the above.