a) Use the two-dimensional diffraction relationship n = d*sin(theta) to calculat

Question

a) Use the two-dimensional diffraction relationship n = d*sin(theta) to calculate the groove spacing, d. Be careful with units, a good tip is to work in meters.

b) Calculate the number of grooves per centimeter for your grating. Hint: if the groove spacing was 0.1 ft, then how many grooves would you have per foot?

c) Suppose you were given the exact setup described in section A, expect that a different grating with fewer grooves/cm was used. How would you expect this to affect the location of the first-order spot? (Explain how you arrived at your conclusio

Explanation / Answer

b)If groove spacing = 0.1ft,

No. of grooves in a foot length = 1/0.1 = 10/ft = 0.254/m

c) A grating with fewer grooves/cm means the groove spacing is higher now.

Assuming the same light is used for experimentation by the experimenter, The minimum angle for constructive interference decreases as per the given equation. This is because, wavelength and the order of diffraction are fixed. Since the groove spacing is increased, the sin(theta) decreases. This lowers the value of Theta(minimum).

Since theta decreases, the first order spot comes closer to the zero-order maximum

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