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 how long it takes for the laser beam to pass through the glass window, you need to find the time it takes for light to travel through the thickness of the glass.

The speed of light in a medium is given by the equation:
v = c / n

where:
v = speed of light in the medium
c = speed of light in a vacuum (~3.00 x 10^8 m/s)
n = refractive index of the medium (in this case, glass)

First, let's calculate the speed of light in glass:
v = c / n
v = (3.00 x 10^8 m/s) / 1.46
v = 2.05 x 10^8 m/s

Next, we need to calculate the time it takes for the light to travel through the glass window.

distance = thickness of glass window = 0.125 m

time = distance / speed
time = 0.125 m / 2.05 x 10^8 m/s
time ≈ 6.10 x 10^-10 seconds

So, it takes approximately 6.10 x 10^-10 seconds for the laser beam to pass through the glass window.

To determine how long it takes for the laser beam to pass through the glass window, we need to apply the formula for the speed of light in a medium.

The formula is: Speed of light in a medium = Speed of light in vacuum / Index of refraction

First, let's calculate the speed of light in vacuum. The speed of light in a vacuum is approximately 299,792,458 meters per second (m/s).

Next, we need to calculate the speed of light in the glass window. We can use the formula:

Speed of light in glass = Speed of light in vacuum / Index of refraction

Speed of light in glass = 299,792,458 m/s / 1.46 = 205,817,990 m/s

Since we have the thickness of the glass window (0.125 m) and the speed of light in the glass (205,817,990 m/s), we can calculate the time it takes for the beam to pass through the glass using the formula:

Time = Thickness / Speed

Time = 0.125 m / 205,817,990 m/s = 6.08 x 10^-7 seconds

Therefore, it takes approximately 6.08 x 10^-7 seconds for the laser beam to pass through the glass window.