Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A double slit has two slits, each mm wide, with a distance of mm between their centres. Light of wavelength nm falls on them, and the screen is m away. Find the fringe width of the interference fringes, the width of the central diffraction maximum, the number of bright fringes inside the central maximum and the order that is missing.
A grating of spacing gives bright lines at . The highest order has . In a real double slit, an order is missing when , and the orders inside the central maximum have .
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. The fringe width. .
Step 2. The central maximum. .
Step 3. The ratio. . Also fringe widths.
Step 4. The bright fringes. The orders with are . That is bright fringes.
Step 5. The missing order. The order falls on the first dark place of the diffraction pattern, which is the edge of the central maximum.
Answer: mm; mm; fringes; order .
Check. The central maximum is fringe widths wide. This is bright fringes plus the two missing ones at the edges.
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