A laser beam is incident at an angle of 31.0° to the vertical onto a solution of

Question

A laser beam is incident at an angle of 31.0° to the vertical onto a solution of cornsyrup in water. (a) If the beam is refracted to 20.44° to the vertical, what is the index ofrefraction of the syrup solution?
1

(b) Suppose the light is red, with wavelength 632.8 nm in a vacuum.Find its wavelength in the solution.
2 nm

(c) What is its frequencyin the solution?
3 Hz

(d) What is its speed in the solution?
4 m/s (a) If the beam is refracted to 20.44° to the vertical, what is the index ofrefraction of the syrup solution?
1

(b) Suppose the light is red, with wavelength 632.8 nm in a vacuum.Find its wavelength in the solution.
2 nm

(c) What is its frequencyin the solution?
3 Hz

(d) What is its speed in the solution?
4 m/s

Explanation / Answer

for (a) n1sin1 =n2sin2 Medium 1 = air Medium 2 = syrup solution n1 = 1      sin1 1sin(31o) = n2sin(20.44o) n2 = (sin31o)/sin(20.44o)=1.47

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