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(D) The formula for fringe width in Young's double-slit experiment is given by $\beta = \frac{\lambda D}{d}$.For a given experimental setup,the distan

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$\beta_R > \beta_G > \beta_B$

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(D) The formula for fringe width in Young's double-slit experiment is given by $\beta = \frac{\lambda D}{d}$.For a given experimental setup,the distance between the slits $(d)$ and the distance between the screen and the slits $(D)$ remain constant.Therefore,the fringe width is directly proportional to the wavelength of the light used: $\beta \propto \lambda$.We know the order of wavelengths for the given colors is $\lambda_R > \lambda_G > \lambda_B$.Since the fringe width is directly proportional to the wavelength,the order of fringe widths will be $\beta_R > \beta_G > \beta_B$.

Young's double-slit experiment is performed using green light,red light,and blue light,one at a time. The fringe widths recorded are $\beta_G, \beta_R,$ and $\beta_B$ respectively. Then:

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