A student shines monochromatic light of wavelength 640 nm through a single slit that is 0.080 mm wide. The student wishes to locate the second dark band (the second diffraction minimum) on a distant screen.
a. Calculate the angular position, in degrees, of the second minimum.
b. Using the small-angle approximation sinθ≈θ (in radians), estimate the same angle and determine the percent error introduced by this approximation.