Question
A grating is 3.4 cm wide. A spectral line of wavelength 578 nm is observed at...
A grating is 3.4 cm wide. A spectral line of wavelength 578 nm is observed at 39∘ in order 3.
The grating is made up of ---- lines. (How many?)
Homework Answers
Answer #1
We use the equation for a grating
d = distance between the lines in a grating
= angle =
39o
m = order = 3
= wavelength =
578 nm = 578 x 10-9 m
So, d = (3 x 578 x 10-9 )/sin(39) m = 2.76 x 10-6 m = 2.76 x10-4 cm
No. of lines per cm = 1/d = 1/2.76 x10-4 cm-1 = 3623.19 cm-1
Width of the grating = 3.4 cm
No of lines = 3623.19 x 3.4 lines = 12318.846 lines = 12319 lines (rounding off)
Hence, there are 12319 lines in the grating
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