Answer to Question #217008 in Optics for romika

Question

what is the highest order spectrum which may be seen with monochromatic light of wavelength 6000A by means of a grating spectrum 5000per lines

Answer 1

• Diffraction can be given by the formula: nλ=dsinθ
• To get M=Mmax,  θ has to be  θmax=90^o
• Since we have 1/d as 5000, we can replace these in an equation and solve
• Mmax=d/λ=1/5000x1/6x10^-5. This gives Mmax=3.33 hence Mmax can be rounded off to the nearest whole number as Mmax=3.