A soap film of thickness t is surrounded by air and is illuminated at near normal incidence by monochromatic light wavelength `lambda` in the film. With respect to the wavelength of the monochromatic light in the film, what film thickness will produce maximum constructive interference

Options

A. `(1)/(4) lambda`
B. `(1)/(2) lambda`
C. `1 lambda`
D. `2 lambda`

Explanation

To solve the problem of determining the film thickness \( t \) that will produce maximum constructive interference in a soap film illuminated by monochromatic light, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Setup**:
- We have a soap film of thickness \( t \) surrounded by air.
- The film is illuminated by monochromatic light of wavelength \( \lambda \) in the film.

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