A student is trying to make an accurate measurement of the wavelength of green light from a mercury lamp. The wavelength λ of this light is 546 nm. Using a double-slit of separation 0.50 mm, the student can see 10 clear bright fringes on a screen at a distance of 0.80 m from the slits. The student can measure their overall width to within ±1 mm using a ruler.

The student then tries an alternative experiment using a diffraction grating with 3000 lines cm^-1. The angle between the two second-order maxima can be measured to within ±0.1°.

a. Determine the width of the 10 fringes that the student can measure in the first experiment.

b. Determine the angle of the second-order maximum that the student can measure in the second experiment.

c. Based on your answers to parts a and b, suggest which experiment you think will give the more accurate value of λ.