Have you thought much around the speed of light and also its implications? If not, you really should. Therein lie marvels.

You are watching: Speed of light in inches per nanosecond

We see into the pastWe every agree top top the rate of lightSimultaneity is in the eye of the beholderTime slow downLengths shorten
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Photo by Casey Horner ~ above UnsplashWe See right into The Past

Get a flashlight, stand one foot away from a wall, direct the flashlight at the wall and revolve it on. The light beam will display up on the wall, look at instantly. Actually, it no instant. The took about a nanosecond. A nanosecond is 10⁻⁹ secs i.e. A billionth of a second. It is too brief of an interval to it is in perceptible come a human brain and so that feels like the beam native the flashlight struggle the wall surface instantly.

In a billionth that a second (nanosecond) light travels one foot. This is the time it takes because that the irradiate from objects roughly us in a room to reach united state so that we view them practically instantaneously.

In a millionth of a second (microsecond) light travels a thousands feet. The irradiate from a street light a couple of blocks away takes a microsecond or for this reason to with us, i beg your pardon still seems instantaneous to us.

In a thousandth that a second (millisecond) irradiate travels 186 miles. That is around the distance in between Seattle and Portland. Currently of course our flashlight i will not ~ be detectable in ~ such large distances (due to its short power). But the time the takes because that light to travel thousands of miles i do not care noticeable to us in other ways. For example, if friend visit a website ~ above your machine in Seattle and the website is offered from a data center in Atlanta, the data transfer throughout the thousands of miles adds tens of milliseconds delay to the loading of the website (compared come if the website was served from a data center in Seattle). In case you’re wondering what data transfer has to do with light, digital data is sent as electromagnetic tide in optical yarn (light being electromagnetic tide within a details band that frequencies that space visible to the human being eye).

In one second irradiate travels 186,000 mile or 300,000 kilometers. That’s around the street to the moon. So when we watch up at the moon in the night sky, we’re actually seeing the the means it was a second ago (not that the moon is changing every second, yet still).

It takes about 8 minutes for the light from the sun to reach us. If the sunlight were to explode right now (don’t worry, that’s not going to take place till an additional 5 exchange rate years) we will certainly not know around it it rotates 8 minute after!

The next time friend look up at the night sky, wonder at just how you’re looking way into the past. That takes 10s of thousands of years because that the light from visible stars to reach us. Are some of those stars still around? and if we go past the naked eye and also consider stars we can detect v telescopes and other instruments, well then we’re feather millions and also billions the years into the past!


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We all Agree on The rate Of Light

The rate of light is, declared in miscellaneous units, 1 foot per nanosecond or 186 miles per millisecond or 300,000 kilometers every second. This is technically the rate in a vacuum (e.g. In space). Light travels a bit more slowly v media such together glass or water, yet that’s not pertinent for this discussion.

A an ext relevant issue is follow to who perspective is the rate of irradiate 300,000 kilometers per second? If i’m on a relocating bus and there’s a ball on the seat beside me, the round is stationary (has 0 speed) from my suggest of view. However as you was standing on the street and also see the bus journey by, you watch the round as relocating at the exact same speed together the bus. The rate of the sphere is different relying on the observer. What around the headlight beam create from the bus? Does it traverse a foot every nanosecond from her perspective or mine? The answer, counterintuitively, is that the headlight beam has the very same speed from your perspective as well as my perspective! that is an extremely different native the situation of a round on a bus.


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Photo by CHUTTERSNAP ~ above Unsplash

The speed of light is the same from every observer’s perspective, even when the observers are moving rapidly loved one to each other. Because that completeness, I’ll cite the salient information that every observer have to be in one inertial framework (i.e. Non-accelerating) yet let that information not obfuscate the main point here. The constancy of the speed of light from every observer’s view is a fundamental law of Physics (proposed by Einstein in the year 1905 in a theory well-known as distinct Relativity). And also boy go it result in some mind-blowing effects that we shall discover next.


In the Eye that the Beholder: Simultaneity

I (on a moving bus) watch two points happening at the very same time. Friend (standing on the road) should likewise see those two points happening simultaneously, right? Wrong! This is a an outcome of the speed of light being consistent for all observers.

How can we recognize this ns of simultaneity across different observers? Well, through some shenanigans on the bus. What happens once inside the bus the driver switches on a light that is exactly half-way in between the former of the bus and also the rear? Obviously, the irradiate will travel at the very same speed (conventionally denoted through ‘c’) in the direction of the front and the back and reach the 2 ends in ~ the same time (in a couple of nanoseconds ~ the light was switched on). If ‘Lₘₑ’ is the street from the bulb to each end of the bus, then the light will certainly reach each finish after a time Lₘₑ / c.


But what perform you watch while standing on the road as the bus cd driver by? because that you, the internal bus irradiate rays are moving to the former and ago of the bus at the same constant speed of irradiate (due come the Physics postulate). However the distinction for you is the the earlier of the bus is relocating towards the irradiate at the speed of the bus (let’s speak to the bus’s rate ‘v’) and the prior of the bus is moving away native the irradiate at the rate of the bus. For this reason you check out the light reach the ago before the reaches the front. If ‘Lₒᵤ’ is the street you check out from the bulb to each end of the bus (which you’d mean to be the very same as Lₘₑ, yet who to know in every this weirdness), the light reaches the rear finish at time Lₒᵤ / (c + v) and then the front end at time Lₒᵤ / (c -v). What I check out as keep going simultaneously, you see as keep going at various times!


Time slow Down

I, ~ above the relocating bus, check out my watch’s 2nd hand ticking as soon as every second. Ns pat the window next come me ~ above every tick. You, ~ above the street, view my bus drive by with me top top it, tapping the home window periodically. You usage your watch to measure the moment interval between my taps. You measure one 2nd between taps, right? Wrong! The time between two taps as seen by girlfriend is better than one second! The elapsed time relies on the timekeeper. you will view a moving clock together running slower 보다 a stationary clock.

What shenanigans can I carry out on the bus this time to aid you understand this? I notification that yes sir a winter on the bus’s ceiling. I happen to have a flashlight. I suggest it up in the direction of the ceiling, switch it on and also measure the time it takes for the light to reflect off the mirror and come earlier to me (the irradiate from the winter comes back to me as soon as I watch the light in the mirror). This just takes a couple of nanoseconds, so virtually speaking it’s not feasible for me to measure such a brief time interval. Yet imagine a tall sufficient bus and also you get the idea. If ‘H’ is the height of the bus then i measure a time that tₘₑ = 2H / c.


What time interval do you measure up for my flashlight beam to take trip up to the ceiling, reflect off the mirror and also return to me? you will check out the light beam walk diagonally as much as the ceiling v the continuous speed of irradiate (again due to the Physics postulate). And also then reflect off and return diagonally to me, again through the continuous light speed. Because the diagonal courses are longer than the straight vertical routes (remember Pythagoras), you will measure the moment interval in between me switching on the flashlight and also the irradiate beam reflecting ago to me come be much longer than what ns measured. You will see the moment interval as dilated contrasted to what i see.


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You observe the time passing on my bus together slowed under by a variable of γ, which goes indigenous 1 (when the bus is stationary) to ∞ (when the bus move at the speed of light). Keep in mind that it’s not actually possible for the bus to relocate at the speed of light because speeding up to that speed would precise require limitless energy. Time dilation and also other such results of unique Relativity come to be noticeable when γ is noticeably bigger than 1. The takes a yes, really high speed for γ to get large. For example, at 87% the the speed of light, γ just about becomes larger than 2. In our everyday lives, us don’t generally encounter such quick objects.


Is this time dilation true or is it just some beguiling trick? it is totally and measurably true. Because that example, there space unstable, sub-atomic primary school particles referred to as muons that decay to fifty percent their amount every 2 microseconds. This particles are current in cosmic light ray bombarding the earth all the time. However, v a 2 microsecond degeneration period, we would expect hardly any kind of muons to survive the long journey through the earth atmosphere prior to reaching united state on the earth surface. However in fact, many much more than naively expected do survive long enough. The reason for the is time dilation. Native our view on earth, the muons room moving really fast, so their degeneration time dilates, leading to considerably longer survive times.

One final note. There are countless so-called paradoxes connected with time dilation, spreading doubt on its validity (e.g. The pair paradox). Permit me reiterate as strongly together possible: time dilation is an observable and also measurably true effect and also does not actually lead to any type of paradoxes whatsoever. Each alleged paradox is in reality a an outcome of an incomplete or incorrect understanding of unique Relativity.


Lengths Shorten

I measure the size of the relocating bus ns on. Indigenous the street, you measure up the length of my bus as it passes you by. We both agree ~ above the bus’s length, right? Wrong! Lengths count on the measurer. You will observe the bus as shorter than what ns observe. The size will it is in shortened by the factor γ us introduced while dilation ar above.

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This time my setup ~ above the bus will usage the same light and also mirror together that offered to show time dilation, other than the mirror will be put at the former of the bus and also the irradiate at the ago of the bus. If ns measure the length of the bus to be ‘Lₘₑ’, then the time it takes for the light to with the prior of the bus and also return come the ago of the bus will certainly be tₘₑ = 2 Lₘₑ / c.