1.The compound eyes of bees and other insects are highly sensitive to light in t

Question

1.The compound eyes of bees and other insects are highly sensitive to light in the ultraviolet portion of the spectrum, particularly light with a frequency between 6.0 1014 Hz and 0.99 1015 Hz. To what wavelengths do these frequencies correspond?
The lower wavelength is   m.
The upper wavelength is  m.

2.A ray of light enters the top of a glass of water at an angle of 35° with the vertical. What is the angle between the refracted ray and the vertical?

3.A ray of light traveling in air strikes a flat 1.85 cm thick block of glass (n = 1.50) at an angle of 40.5° with the normal. Trace the light ray through the glass, and find the angles of incidence and refraction at each surface.

1st surface
i =  °
r =  °

2nd surface
i =  °
r =  °

4.

The light ray shown in the figure below makes an angle of = 18.2° with the normal line at the boundary of linseed oil and water. Determine the angles 1 and 2. Note that n = 1.48 for linseed oil.
1 =  °
2 =  °

Explanation / Answer

1.solution

The lower wavelength corresponds to higher frequency:
= c/f = 3*108 / 0.99*1015 = 0.303*10-6 m;

The upper wavelength corresponds to lower frequency:
=c/f =3*108 / 6.0*1014 =0.5*10-6 m

2.solution

Snell's law :

n1 sin i = n2 sin r

n1 = index of refraction of air = 1.0
i = 35 degrees
n2 = index of refraction of water = 1.33
1 * sin 35 = 1.33 sin r
--> sin r = sin 35 / 1.33 = 0.431

--> r = sin-1(0.431 ) = 25.54 degrees

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