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(D) The formula for fringe width $\beta$ in Young's double-slit experiment is given by $\beta = \frac{D \lambda}{d}$,where $D$ is the distance between

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quadrupled

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(D) The formula for fringe width $\beta$ in Young's double-slit experiment is given by $\beta = \frac{D \lambda}{d}$,where $D$ is the distance between the slits and the screen,$\lambda$ is the wavelength of light,and $d$ is the separation between the slits.According to the problem,the new distance $D' = 2D$ and the new slit separation $d' = \frac{d}{2}$.Substituting these values into the formula for the new fringe width $\beta'$:$\beta' = \frac{D' \lambda}{d'} = \frac{(2D) \lambda}{(d/2)} = 4 \left( \frac{D \lambda}{d} \right) = 4\beta$.Therefore,the fringe width becomes quadrupled.

In Young's double-slit experiment,the separation between the slits is halved and the distance between the slits and the screen is doubled. The fringe width is

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