91影视

The wavelength of the light is$\mathrm{位}=600鈥�\mathrm{nm}\left(\frac{{10}^{鈥�9}\mathrm{m}}{1\mathrm{nm}}\right)=6脳{10}^{鈥�7}鈥�\mathrm{m}$

The order of maximum is 1.

Grating lines on the reflection grating are 8000 liner per centimeter, which means

that the distance between the two slits is $\mathrm{位}=600鈥�\mathrm{nm}\left(\frac{1\mathrm{cm}}{8000}\right)\left(\frac{1\mathrm{m}}{100\mathrm{cm}}\right)=1.25脳{10}^{鈥�6}鈥�\mathrm{m}$

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.

For a given value of $\mathrm{位}$we can determine the angle for the first-order maximum (m=1) using the formula using equation (1),

role="math" localid="1654061489643" $\mathrm{胃}={\sin }^{鈥�1}\left(\frac{\mathrm{位}}{\mathrm{d}}\right)$鈥︹赌︹赌︹赌︹赌︹赌︹赌�.(2)

Substituting the given data in equation (1) will give,

$$\begin{gathered} \mathrm{胃}={\sin }^{鈥�1}\left(\frac{\mathrm{位}}{\mathrm{d}}\right) \\ ={\sin }^{鈥�1}\left(\frac{6脳{10}^{鈥�7}\mathrm{m}}{1.25脳{10}^{鈥�6}\mathrm{m}}\right) \\ =28.7^{掳} \end{gathered}$$

Therefore, the angle for the first-order maximum is $28.7^{掳}$.