An electromagnetic wave of frequency 2.30 × 10^14 hz propagates in carbon tetrachloride with a speed of 2.05 x 10^8 m/s. what is the wavelength of the wave in carbon tetrachloride? show all work and include units of measure.
the index of refraction for water at 20° c is 1.333 and the index of refraction for air at 20° c is 1.00293. find the angle of refraction for a ray of light that enters a bucket of water from air at an angle of 30.0° to the normal. show all work and provide units of measure.

1.

The wavelength of a wave is given by the formula

where

v is the speed of the wave

f is the frequency

For the electromagnetic wave in this problem,

is the frequency

is the speed of the wave

Substituting into the equation, we find

2.  

The angle of refraction can be found by using Snell's law:

where

is the refractive index of the first medium (air)

is the refractive index of the second medium (water)

is the angle of incidence in air

Solving the equation for , we find the angle of refraction of the light ray in water:

3.2x10^7