Find the maximum value of resolving power of a grating 3 cm wide having 5000 lines per cm, if the wavelength of light used is 5890 A0.
Answer:-
we know that the number of lines is 5000 lines per cm
d=15000cmd=2×10−6md=\frac{1}{5000}cm\\ d=2\times10^{-6}m\\d=50001cmd=2×10−6m
now we have
θ=λd\theta=\frac{\lambda}{d}\\θ=dλ
now we have resolving power given as
RP=dλRP=2×10−65890×10−10RP=\frac{d}{\lambda}\\ RP=\frac{2\times10^{-6}}{5890\times 10^{-10}}RP=λdRP=5890×10−102×10−6
RP=3.4RP=3.4RP=3.4
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