In YDSE, the separation between the slits is | vedclass

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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, $D$ is the distance between t

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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, $D$ is the distance between the slit and the screen, 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, the new fringe width $\beta'$ is:$\beta' = \frac{\lambda D'}{d'} = \frac{\lambda (2D)}{d/2} = 4 \left( \frac{\lambda D}{d} \right) = 4\beta$.Therefore, the fringe width becomes $4$ times the original value.

In $YDSE$, the separation between the slits is halved and the distance between the slit and the screen is doubled. The fringe width is

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