Final answer:
The diffraction angle for a setup using a 3,660 Ångstrom slit with a minima of order 26 and a wavelength of 12 nm is approximately 80.87 degrees.
Step-by-step explanation:
To find the diffraction angle for a setup using a 3,660 Ångstrom slit, we can use the formula:
sinθ = m * λ / w
where θ is the diffraction angle, m is the order of the minima, λ is the wavelength of light, and w is the width of the slit.
Plugging in the given values: m = 26, λ = 12 nm = 12000 Ångstroms, and w = 3660 Ångstroms, we get:
sinθ = 26 * 12000 / 3660
solving for θ, we find:
θ = arcsin(26 * 12000 / 3660)
Calculating this value, we find that the diffraction angle θ is approximately 80.87 degrees.