Consider a 2.54 cm wide diffraction grating with 2,000 lines. For the first-orde

Question

Consider a 2.54 cm wide diffraction grating with 2,000 lines. For the first-order spectrum (m=l). what is the separation, s, for red (X=650nm) and green (A=550nm) monochromatic light on a screen 2m from the diffraction grating? (You may use the small angle approximation and assume that the light covers the entire grating.) If the grating above is reduced to a width of 2cm, but the total number of lines is kep the same, which of the following describes the resulting change in the resolving power. R, of the grating for the first order spectrum?

Explanation / Answer

56) y = m lambda L/d

so dy = m dlambda L/d = 1*100.0E-9*2/(2.54E-2/2000)= 15.8 mm
so b)

57)

so dy will get smaller so resolving power decreases

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