A laser beam is incident at an angle of 36.0° to the vertical onto a solution of

Question

A laser beam is incident at an angle of 36.0° to the vertical onto a solution of cornsyrup in water. (a) If the beam is refracted to 25.44° 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.
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 25.44° 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.
2 nm
(c) What is its frequency?
3 Hz
(d) What is its speed in the solution?
4 m/s

Explanation / Answer

   a.   Refractiveindex   n   =   sin i/ sin r          n   =   sin360 / sin 25.440          n   =   0.5878/ 0.4296   =   1.368    b.   Wavelength inmedium   m   =   vacuum/ n   =   632.8 /1.368   =   462.57   nm    c.   Frequency   f   =   c/   =   3* 108 / 632.8 *10-9   =   4.741 *1014   Hz             (frequency does not chage when light travels from one medium toother.)    d.   Speed inmedium   v=   c /n   =   3 * 108 /1.368   =   2.19 *108   m/s          n   =   0.5878/ 0.4296   =   1.368    b.   Wavelength inmedium   m   =   vacuum/ n   =   632.8 /1.368   =   462.57   nm    c.   Frequency   f   =   c/   =   3* 108 / 632.8 *10-9   =   4.741 *1014   Hz             (frequency does not chage when light travels from one medium toother.)    d.   Speed inmedium   v=   c /n   =   3 * 108 /1.368   =   2.19 *108   m/s

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