Question

A monochromatic light source produces light with frequency 6:0 1014 Hz and is illu-

minating a double-slit experiment. In addition, the entire experiment is submerged in

water (nw = 1:33).

(a) What is the speed of light in water? (1 mark) answer 2.26e8m/s

(b) What is the wavelength of the light? (1 mark) answer 380nm

(c) If the slit separation is d = 5:0 10?6 m, then at what angles do the three maxima

m = 0; 1, and 2 occur at? (6 marks)

Answer 1

(a) The speed of light in water is given by

Where is the refractive index of water .

So velocity of light in water is=

(b) The velocity of light is given by   

Put the values of frequency and velocity to get wavelength.

Almost equal to 380 nm

(c) Maxima in double slit experiment is given by

  

For m= 0.

For m=1 . So theta=4.301°

For m=2.

So theta = 8.63°

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