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

Question

A laser beam is incident at an angle of 44.0° to the vertical onto a solution of cornsyrup in water. (a) If the beam is refracted to 21.04° 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.
2 nm
(c) What is its frequency?
3 Hz
(d) What is its speed in the solution?
4 m/s (a) If the beam is refracted to 21.04° 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.
2 nm
(c) What is its frequency?
3 Hz
(d) What is its speed in the solution?
4 m/s

Explanation / Answer

angle of incidence i = 44.0°
angle refraction r = 21.04° from snell's law   sin i / sin r = n the index of refraction of the syrup solution is n= sin 44 / sin 21.04                                                                         = 1.9348
(b) wavelength of red in vacuum = 632.8nm wavelength.in solution ' = / n                                        = 327 nm (c) frequency f = c /                        = ( 3 * 10 ^ 8 m /s ) / ( 632.8 * 10 ^ -9 m )                        = 0.474 * 10 ^ 15 Hz                        = 4.74 * 10 ^ 14 Hz
(d) speed in the solution v = c / n                                          = 1.55 * 10 ^ 8 m / s

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