91影视

Grating lines on the diffraction grating are 10000 liner per cm, which means that the

distance between the two slits is$\mathrm{d}=\left(\frac{1\mathrm{cm}}{10000}\right)\left(\frac{1\mathrm{m}}{100\mathrm{cm}}\right)=1脳{10}^{鈥�6}鈥�\mathrm{m}$

The order of maximum is 1.

The angles at which the first-order maximum is observed $36.{093}^{掳}\mathrm{and}36.{129}^{掳}$

The equation of the constructive interference can be expressed as

$\mathbf{胃蝉颈苍位}$ 鈥︹赌︹赌︹赌︹赌︹赌︹赌�(1)

Where, d, $\mathrm{位}$, $\mathrm{胃}$and m is the separation between slits, the wavelength of the incident light, and the angle made with the maximum and order of maximum, respectively.

Therefore, if we substitute ${\mathrm{胃}}_1-36.{093}^{掳}$and m=1 in equation (1), we will get,

$$\begin{gathered} {\mathrm{位}}_1=\frac{{\mathrm{胃蝉颈苍}}_1}{\mathrm{m}} \\ =\frac{\left(1脳{10}^{鈥�6}\mathrm{m}\right)脳\sin \left(36.{093}^{掳}\right)}{1} \\ =589.1\mathrm{nm} \end{gathered}$$

And, if we substitute ${\mathrm{胃}}_2=36.{129}^{掳}$and m=1 in equation (1), we will get,

role="math" localid="1654055552622" $$\begin{gathered} {\mathrm{位}}_2=\frac{\mathrm{d}{\mathrm{蝉颈苍胃}}_2}{\mathrm{m}} \\ =\frac{\left(1脳{10}^{鈥�6}\mathrm{m}\right)脳\sin \left(36.{129}^{掳}\right)}{1} \\ =589.6\mathrm{nm} \end{gathered}$$

Therefore, the wavelengths are: $589.1\mathrm{nm}\mathrm{and}589.6\mathrm{nm}$..