Answer:
θ = 17.67°
Explanation:
The grating equation can be used here to find the angle. The grating equation is given as follows:
[tex]m\lambda = dSin\ \theta[/tex]
where,
m = order = 2
d = 3.88 x 10⁻⁶ m
λ = wavelength of light = 589 nm = 5.89 x 10⁻⁷ m
θ = angle = ?
Therefore, using these values in the equation, we get:
[tex](2)(5.89\ x\ 10^{-7}\ m) = (3.88\ x\ 10^{-6}\ m)Sin\theta \\Sin\theta = \frac{(2)(5.89\ x\ 10^{-7}\ m)}{(3.88\ x\ 10^{-6}\ m)}\\\\\theta = Sin^{-1}(0.3036)[/tex]
θ = 17.67°
