(Solved): answer these using diffraction grating theory rules. Data Analysis Insert relevant Data Analysis wo ...

Data Analysis Insert relevant Data Analysis work and screenshots. Theory When we illuminate a system of $N$ closely spaced slits from one side, each of these slits become a source of light wave that diffracts, or spreads out, behind the slit. We call this device of multiple slits a diffraction grating. Figure 8.1 shows one order of diffraction from the diffraction device to a viewing screen. This light ray is a representation of the interference of light sources from all the slits in the diffraction grating where the spacing between two consecutive slits is $d$. The angle ${?}_m$ of the $m^{th}$ order diffraction of $N$ light waves from $N$ different slits, all in phase with each other, is such that: $d\sin \left({?}_m\right)=m?m=0,1,2,3,\dots$ There will be bright constructive interference fringes on the screen at the angles ${?}_m$. We can use the distance $L$ from the grating to the screen to obtain the position $y_m$ of the $m^{\text{th }}$ maximum using: $y_m=L\tan \left({?}_m\right)$ The integer $m$ is called the order of the diffraction, Normally, the spacing $d$ in a grating is very small. Because of that, we customarily characterize a grating by the number of lines per millimeter. For example, a grating with 1000 lines per millimeter will have a value of $d=1.00\times 10^{?6}\mathrm{m}$ since a piece on the grating having a $1\mathrm{mm}$ length, which is a thousandth of a meter, will have 1000 lines.