Question

The path difference between two interference light waves meeting at a point on the screen is `(87/2)lambda`. The band obtained at that point is ______.

Options

• 87th dark band

• 87th bright band

• 44th bright band

• 44th dark band

Answer 1

The path difference between two interference light waves meeting at a point on the screen is `(87/2)lambda`. The band obtained at that point is the 44th dark band.

Explanation:

Since the path difference between two interfering waves is of type `(2n - 1) (lambda/2).`

So, it forms a dark band.

⇒ `((2n - 1)/2)lambda = (87/2)lambda ⇒ 2n - 1 = 87`

⇒ `n = 88/2 = 44`