What is the frequency of a ray of light whose wavelength is 500 nm in vacuum, wh

Question

What is the frequency of a ray of light whose wavelength is 500 nm in vacuum, when it travels through a medium of refractive index 1.5? A polarizer has its axis parallel to the y-axis. How much light does it let through if the incident light is polarized along the x-axis? A polarizer has its axis parallel to the y-axis. How much light does it let through if the incident light is polarized? Initially polarized light is sent into a system of three polarizing sheets whose polarizing directions make angles of theta_1 = 20 degree, theta_2 = 40 degree, theta_3 = 60 degree with the direction of the y axis. What percentage of the light's initial intensity is transmitted by the system? Initially polarized light is sent into a system of three polarizing sheets whose polarizing directions make angles of theta_1 = 90 degree, theta_2 = 60 degree, theta_2 = 30 degree with the direction of the y axis. The initial direction of polarization is along the y-axis. What percentage of the light's initial intensity is transmitted by the system?

Explanation / Answer

6)

as the frequency of light is constant

frequency of light = speed of light/wavelength

frequency of light = 3 *10^8/(500 *10^-9)

frequency of light = 6 *10^14 Hz

7)

as theta = 90 degree

light passing through = cos^2(theta)

light passing through = cos^2(90)

light passing through = 0

8)

for the unpolarized light

fraction of light passing through = 1/2

9)

for the output intensity

let the input intensity is Io

for the output intensity

output intensity = 0.5 * Io * cos^2(40 - 20) * cos^2(60-40)

output intensity = 0.398 * Io

output intensity = 39.8 % of input intensity

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