Answer :
Final answer:
The spacing d between lines in a diffraction grating with 3700 lines per cm is 2.7×10–6 meters or 2.7 micrometers.
Explanation:
If a diffraction grating has 3700 lines per cm, the spacing d between lines can be found using the formula d = 1/N, where N is the number of lines per unit length. In this case, we need to convert centimeters to meters because the standard unit for d is meters (m). So, 3700 lines/cm is equal to 370,000 lines/m (since 1m = 100cm). The spacing d would therefore be:
d = 1/N
= 1/370,000 m
= 2.7×10–6 m
So, the spacing between the lines, d, is 2.7×10–6 meters (or 2.7 micrometers).
