A laser beam is incident at an angle of 38.0° to the vertical onto a solution of

Question

A laser beam is incident at an angle of 38.0° to the vertical onto a solution of cornsyrup in water.

(a) If the beam is refracted to 24.64° 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 laser beam is incident at an angle of 38.0° to the vertical onto a solution of cornsyrup in water.

(a) If the beam is refracted to 24.64° 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

   a.   Snell's lawis   sin i /sin r   =   refractive index(n)          n   =   sin38.0 / sin 24.64   =   1.477    b.   wavelength inmedium   =   wavelength in vacuum /n          medium   =   632.8nm /1.477   =   428.44   nm    c.   Frequency   f   =   c/    =   3 * 108/ 632.8 *10-9      =   4.74* 1014   Hz    d.   speed   v   =   c/ n   =   3.0 * 108 /1.477   =   2.03 *108   m/s

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