See the first and thrid problem below. I only need Question 2 answered. Please e

Question

See the first and thrid problem below. I only need Question 2 answered. Please explain.

Question 2: Suppose the single slit of the first problem and the grating of the third problem of the Thursday discussion were placed at the same distance from screens. If the same wave length light is shined upon the two, the distance between the maxima and minima due to the single slit compared to the the grating will be:

First Problem: A screen is placed 50.0 cm from a single slit, which is illuminated with light of wavelength
680 nm. If the distance between the first and third minima in the diffraction pattern is 3.00 mm,
what is the width of the slit?

Thrid Problem: Light containing two different wavelengths passes through a diffraction grating with 1 200
slits/cm. On a screen 15.0 cm from the grating, the third-order maximum of the shorter
wavelength falls midway between the central maximum and the first side maximum for the longer
wavelength. If the neighboring maxima of the longer wavelength are 8.44 mm apart on the
screen, what are the wavelengths in the light? (Hint: Use the small-angle approximation.)

Explanation / Answer

for the grating
d = 1/1200 =0.000833 cm

for the single slit

y = m lambda L/a

3E-3 =2*680E-9*50.0E-2/a

a=0.000227

so the smaller a means a bigger y

so bigger

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