Light containing a mixture of two wavelengths, 500 nm and600 nm, is incident nor

Question

Light containing a mixture of two wavelengths, 500 nm and600 nm, is incident

normally on a diffraction grating. It is desired (1)that the first and second principal

maxima for each wavelength appear at 30°, (2) that thedispersion be as high as

possible, and (3) that the third order for 600 nm be amissing order.

a) What is the separation between adjacentslits?

b) What is the smallest possibleindividual slit width?

c) List all orders for 600 nm thatactually appear on the screen with the valueschosen

in parts (a) and (b).

Explanation / Answer

a)The separation between adjacent slits is d * sinbright = m * where m =0,±1,±2,............ ------------(1) or d = (m * /sinbright) where m = 1, = 500 nm = 500 * 10-9 m andbright = 30o b)The smallest possible individual slit width is same asthe min = (/a) or a = (/min) c)In equation (1) we replace by 600 nm and get thevalues of d for m = 1,2,3,...........

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