Q.
Consider the arrangement shows in the figure. The distance $D$ is large compared to the separation $d$ between the slits. For this arrangement, match the items in Column I with terms in Column II and choose the correct option from codes given below.
Column I
Column II
A
The minimum value of $d$ so that there is a dark fringe at $O$ for $x=D$ is
1
$\sqrt{\frac{\lambda D}{3}}$
B
For $x=D$ and $d$ minimum such that there is dark fringe at $O$, the distance $y$ at which next bright fringe is located is
2
$2d$
C
fringe width for $x=D$
3
$d$
D
The minimum value of $d$ so that there is a dark fringe at $O$ for $x=D / 2$ is
4
$\sqrt{\frac{\lambda D}{2}}$
Column I | Column II | ||
---|---|---|---|
A | The minimum value of $d$ so that there is a dark fringe at $O$ for $x=D$ is | 1 | $\sqrt{\frac{\lambda D}{3}}$ |
B | For $x=D$ and $d$ minimum such that there is dark fringe at $O$, the distance $y$ at which next bright fringe is located is | 2 | $2d$ |
C | fringe width for $x=D$ | 3 | $d$ |
D | The minimum value of $d$ so that there is a dark fringe at $O$ for $x=D / 2$ is | 4 | $\sqrt{\frac{\lambda D}{2}}$ |
Wave Optics
Solution: