Young's double slit experiment is carried out by using green, yellow, red and blue lights one by one. Arrange the expected values of fringe width (β) in increasing order

(A) $β_{Green}$
(B) $β_{Yellow}$
(C) $β_{Blue}$
(D) $β_{Red}$

Choose the correct answer from the options given below:

(C), (A), (B), (D)

The correct answer is Option (3) → (C), (A), (B), (D)

Fringe width formula:

$\beta = \frac{\lambda D}{d}$

Fringe width $\beta$ ∝ wavelength $\lambda$.

Order of wavelengths: $\lambda_{\text{Blue}} < \lambda_{\text{Green}} < \lambda_{\text{Yellow}} < \lambda_{\text{Red}}$

So, $\beta_{\text{Blue}} < \beta_{\text{Green}} < \beta_{\text{Yellow}} < \beta_{\text{Red}}$

${C < A < B < D}$