Calculating Light Travel Time Through Different Materials

In summary, the speed of light, denoted by the symbol c, is approximately 299,792,458 meters per second in a vacuum. It can be calculated by dividing the distance traveled by the time it takes to travel that distance, using the formula c = d/t. The speed of light is typically measured in meters per second, but can also be expressed in other units. It is a fundamental constant in physics and plays a crucial role in understanding the behavior of matter and energy in the universe. According to the theory of relativity, the speed of light is constant and does not change, regardless of the observer's frame of reference or the speed of the source emitting the light.
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[SOLVED] Simple speed of light problem

Homework Statement


How long does it take light to travel trough a 5.23-mm-thick piece of window glass?

Trough what thickness of water could light travel in the same amount of time?


Homework Equations





The Attempt at a Solution



I thought I could just do the speed of light divided by the thickness to get my seconds but that's not right so can someone please help me?
 
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  • #2
nevermind...got it
 
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To solve this problem, we can use the equation speed = distance/time, where speed is the speed of light (approximately 3 x 10^8 m/s), distance is the thickness of the material, and time is the time it takes for light to travel through the material.

For the first part of the problem, we can plug in the given values and solve for time:

speed = distance/time
3 x 10^8 m/s = 5.23 x 10^-3 m / time
time = 1.74 x 10^-11 seconds

So it would take approximately 1.74 x 10^-11 seconds for light to travel through a 5.23-mm-thick piece of window glass.

For the second part of the problem, we can use the same equation and solve for the distance:

speed = distance/time
3 x 10^8 m/s = distance / 1.74 x 10^-11 seconds
distance = 5.22 x 10^-3 meters

Therefore, light could travel through approximately 5.22 mm of water in the same amount of time.

I hope this helps!
 

FAQ: Calculating Light Travel Time Through Different Materials

What is the speed of light?

The speed of light, denoted by the symbol c, is approximately 299,792,458 meters per second in a vacuum. This is considered to be the fastest possible speed in the universe.

How do you calculate the speed of light?

The speed of light can be calculated by dividing the distance traveled by the time it takes to travel that distance. In other words, the formula is c = d/t, where c is the speed of light, d is the distance, and t is the time.

What unit is used to measure the speed of light?

The speed of light is typically measured in meters per second (m/s), but it can also be expressed in other units such as kilometers per second (km/s) or miles per second (mi/s).

Why is the speed of light important in physics?

The speed of light is a fundamental constant in physics and is important in many areas of study, including relativity, quantum mechanics, and electromagnetism. It also plays a crucial role in understanding the behavior of matter and energy in the universe.

Is the speed of light constant?

Yes, according to the theory of relativity, the speed of light is constant and does not change. This means that no matter the observer's frame of reference or the speed of the source emitting the light, the speed of light will always be the same.

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