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(D) In Young's Double Slit Experiment,the condition for obtaining a sharp interference pattern is that the source slit must be narrow and the light mu

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All of the above.

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(D) In Young's Double Slit Experiment,the condition for obtaining a sharp interference pattern is that the source slit must be narrow and the light must be coherent. When the distance $\ell$ between the source slit and the double slits $S_1S_2$ decreases,the spatial coherence of the light reaching the slits $S_1$ and $S_2$ decreases. $1$. As $\ell$ decreases,the angular width of the source as seen from the slits increases,which reduces the visibility of the fringes. If $\ell$ becomes too small,the fringe pattern may disappear (Option $A$). $2$. The reduction in spatial coherence causes the fringes to lose their sharpness (Option $B$). $3$. The fringe width is given by $\beta = \frac{\lambda D}{d}$. Since $\beta$ depends only on the wavelength $\lambda$,the distance between the slits $d$,and the distance to the screen $D$,it remains unchanged when $\ell$ is varied (Option $C$). Therefore,all the given statements are correct.

Column-$I$	Column-$II$
$(A) x = \frac{D \lambda}{d}$	$(P) I_0$
$(B) x = \frac{D \lambda}{4d}$	$(Q) 2 I_0$
$(C) x = \frac{D \lambda}{3d}$	$(R) 3 I_0$
$(D) x = \frac{D \lambda}{6d}$	$(S) 4 I_0$

The figure shows a schematic diagram of Young's Double Slit Experiment. Identify the correct statement$(s)$ if the source slit $S$ is moved closer to the slits $S_1$ and $S_2$,i.e.,the distance $\ell$ decreases.

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