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(D) The formula for fringe width in $YDSE$ is given by $\beta = \frac{\lambda D}{d}$,where $\lambda$ is the wavelength of light,$D$ is the distance be

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decrease four times

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(D) The formula for fringe width in $YDSE$ is given by $\beta = \frac{\lambda D}{d}$,where $\lambda$ is the wavelength of light,$D$ is the distance between the screen and the slits,and $d$ is the distance between the slits.From the formula,it is clear that fringe width $\beta$ is inversely proportional to the slit separation $d$,i.e.,$\beta \propto \frac{1}{d}$.If the distance between the slits is increased $4$ times,the new distance $d' = 4d$.Therefore,the new fringe width $\beta' = \frac{\lambda D}{d'} = \frac{\lambda D}{4d} = \frac{\beta}{4}$.Thus,the fringe width decreases $4$ times.

When the distance between the slits is increased $4$ times in $YDSE$,the fringe width will

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