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Q3) 3. (1 pt) Consider an infrared grating with 84 lines per millimeter and 15 m

ID: 971473 • Letter: Q

Question

Q3) 3. (1 pt) Consider an infrared grating with 84 lines per millimeter and 15 mm illuminated area. Calculate the first-order resolving power (R= gammagamma) for this grating
For the grating from Problem 3, what is the minimum separation (in cm-1) for two lines to be resolved if they are centered at 1200 cm-1? Q3) 3. (1 pt) Consider an infrared grating with 84 lines per millimeter and 15 mm illuminated area. Calculate the first-order resolving power (R= gammagamma) for this grating
For the grating from Problem 3, what is the minimum separation (in cm-1) for two lines to be resolved if they are centered at 1200 cm-1? Q3) 3. (1 pt) Consider an infrared grating with 84 lines per millimeter and 15 mm illuminated area. Calculate the first-order resolving power (R= gammagamma) for this grating
For the grating from Problem 3, what is the minimum separation (in cm-1) for two lines to be resolved if they are centered at 1200 cm-1?

Explanation / Answer

First order resolving power =R= gammagamma = m x M

R = 84 lines/mm x 15 mm

= 1260 lines

Wave number = 1200 cm-1

Minimum Separation for 2 lines = 1/1200 cm-1 = 8.33 x 10-4 cm