A laser beam enters a .125 m thick glass window at an angle of 39° (from the normal). The index of refraction of the glass is 1.46. At what angle from the normal does the beam travel through the glass? that answer is 25.53 deg
the second part asks
How long does it take the beam to pass through the plate?
To calculate the time it takes for the beam to pass through the glass plate, we need to determine the distance it travels within the glass. Since the thickness of the glass window is given as 0.125 m, and the beam enters and exits the window at different angles, we need to consider the path length within the glass.
As the beam enters the glass at an angle of 39° from the normal, we can calculate the distance it travels within the glass using the concept of trigonometry. The ratio of the distance traveled within the glass (d) to the thickness of the glass window (t) is equal to the inverse of the sine of the angle of incidence (θ1):
d / t = 1 / sin(θ1)
Plugging in the values, we have:
d / 0.125 = 1 / sin(39°)
Now, we can solve for d:
d = 0.125 / sin(39°)
Using a calculator, we find that d is approximately 0.2018 m.
Next, we need to determine the time taken for the beam to travel through this distance within the glass. We can use the relation between distance (d), speed (v), and time (t):
t = d / v
Since the speed of light in a medium is given by v = c / n (where c is the speed of light in a vacuum and n is the refractive index of the medium), we can substitute this value into the equation:
t = d / (c / n)
Plugging in the values, where the speed of light in a vacuum (c) is approximately 3 × 10^8 m/s and the refractive index (n) is 1.46, we have:
t = 0.2018 / (3 × 10^8 / 1.46)
Using a calculator, we find that the time is approximately 4.09 × 10^-10 seconds.
Therefore, it takes the laser beam approximately 4.09 × 10^-10 seconds to pass through the glass plate.
Sorry, you have to show some work of your own. You just seem to be dumping your homework problems here for us to solve.
If you want more help, show more effort