White light is incident on a very thin glass plate of thickness `1 mu m`. Index of refraction for the glass is 1.5. Which wavelengths in the visible region (400 nm to 700 nm) are strongly transmitted by the glass plate ?

Explanation

To determine which wavelengths in the visible region (400 nm to 700 nm) are strongly transmitted by a very thin glass plate of thickness \(1 \mu m\) (or \(1 \times 10^{-6} m\)) with an index of refraction of \(1.5\), we will analyze the interference of light waves.

### Step-by-Step Solution:

1. **Understanding the Path Difference**:
When light passes through a thin film (in this case, the glass plate), it undergoes interference. The path difference (\(\Delta x\)) between the light waves reflected from the top and bottom surfaces of the film is given by:
\[
\Delta x = 2 \mu t
...