Light of wavelength 625 nm illuminates a single slit of width 0.55 mm. The patte

Question

Light of wavelength 625 nm illuminates a single slit of width 0.55 mm. The pattern appears on a screen 1.2 m away. (a) At what distance y from the center of the screen is the location of the first minimum in the diffraction pattern? (b) What is the width of the central maximum? Monochromatic light from a helium-neon laser (wavelength 640 nm) is incident normally on a diffraction grating containing 8000 lines/cm. (a) Find the angle at which the first-order maximum can be observed. (b) Calculate the angle at which the second-order maximum can be observed.

Explanation / Answer

here,

12)

wavelength , lamda = 6.25 * 10^-7 m

slit width , d = 5.5 * 10^-4 m

D = 1.2 m

a)

the distance of the location of first minimum , y = lamda * D/d

y = 6.25 * 10^-7 * 1.2 /( 5.5 * 10^-4)

y = 1.36 * 10^-3 m

b)

the width of central maximum , y' = 2 * y

y' = 2.73 * 10^-3 m

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