A laser beam is incident at an angle of 44.0° to the verticalonto a solution of

Question

A laser beam is incident at an angle of 44.0° to the verticalonto a solution of corn syrup in water. (a) The beam is refracted to 21.04° to the vertical. Calculatethe index of refraction of the syrup solution.

(b) The light is red, with wavelength 632.8 nm in a vacuum.Calculate its wavelength in the syrup solution.
nm
(c) Calculate its frequency in air.
Hz
(d) What is its frequency in the solution?

(e) Calculate its speed in the solution.
m/s (a) The beam is refracted to 21.04° to the vertical. Calculatethe index of refraction of the syrup solution.

(b) The light is red, with wavelength 632.8 nm in a vacuum.Calculate its wavelength in the syrup solution.
nm
(c) Calculate its frequency in air.
Hz
(d) What is its frequency in the solution?

(e) Calculate its speed in the solution.
m/s

Explanation / Answer

a) nisini =nrsinr 1.0 * sin44 = sin 21.04 * n n = 1.935 c) v = f so f = v/ = 3 * 108/632.8 *10-9 = 4.74 *1014Hz d) frequency in solution must be the same, frequency does notchange e) speed in solution = n = speed of light in a vacuum/speed oflight in syrup v(syrup) = 3*108/1.935 = 1.55 * 108m/s b) = v/f = 1.55*108/4.74*1014 327nm Hope that helps 327nm Hope that helps

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