In Young's double slit experiment ,momochromatic light of wavelength `630 nm` illuminates the pair of slits and produces an interface pattern pattern in which two consecutive bright frings are separated by `8.1 mm.` Another source of monochromatic light produce the interface pattern in which the two consecutive bright fringes are seperated by `7.2mm,` find the wavelength of light from the second sources . What is the effect to on the interference fringes if the monochromatic sources is replaced by a source of white light ?

Explanation

To solve the problem step by step, we will follow these instructions:

### Step 1: Understand the given data
We have two sources of monochromatic light:
- Source 1 has a wavelength \( \lambda_1 = 630 \, \text{nm} = 630 \times 10^{-9} \, \text{m} \)
- The fringe separation for source 1 is \( \beta_1 = 8.1 \, \text{mm} = 8.1 \times 10^{-3} \, \text{m} \)
- The fringe separation for source 2 is \( \beta_2 = 7.2 \, \text{mm} = 7.2 \times 10^{-3} \, \text{m} \)

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