Transcript
Oo0jm1PPRuo • How We're Redefining the kg
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Kind: captions Language: en what do I have to push sub basement I'm at the National Institute of Standards and Technology near Washington DC and I'm going to the sub basement it's getting dark down here we're going to find out how they're going to redefine a kilogram the kilogram is in trouble since 1799 it's been defined as the mass of a metal cylinder in a locked vault in a basement in Paris but over the last century careful measurements of this International prototype kilogram and in theory identical national standards from around the world have shown that their masses are diverging the spread has grown to around 50 micrograms or 50 parts per billion and having a standard of mass that changes is unacceptable plus the kilogram is the last of the base SI units to still be defined by a physical object the meter for example used to be defined as the length of a platinum bar in Paris but in 1983 it was redefined as the distance light travels in 1 over 299792458 of a second this definition means that the speed of light is set to exactly Etc m/s note how this works first you take the existing definition say the length of that meter bar and you measure as carefully as you can how it relates to a physical constant of the universe the speed of light then you set the exact value of that constant and use it to redefine how long a meter is I know this might seem circular but importantly it moves the point of Truth off of the physical object and onto the unchanging constant of the universe so naturally the thought is to do the same thing with the kilogram but using which constant and how well there were a number of different strategies that were attempted but the two that achieved the greatest success were number one using a silicon sphere to determine and set avagadro's number and number two to use a watt balance to determine and set planks constant how you doing Derek pretty good nice to meet you where is the W balance the W balance is Behind These closed doors and it's in there it's correct and right now the problem is that um we are in a crunch to get a number by the end of May what's the number the Plank's constant this is what we measure with the w balance in 2011 the general conference on weights and measures decided that the kilogram should be redefined based on Plank's constant but that doesn't mean that the avagadro approach was futile I mean you can use avagadro's number to calculate Plank's constant and vice versa so ultimately both approaches are going to be used to redefine Plank's constant and avator number simultaneously one good thing about having a zic sphere is that you only want to redefine if you have agreement between different numbers right and the Silicon sphere method is a method in my mind that comes out of chemistry but the measure of Godus constant just a constant that comes comes out of chemistry this method comes out of physics you measure pl's constant so if they both agree is a pretty strong sign right because you know chemistry and physics agree now since I've already discussed the avagadro approach in a previous video here I want to focus on the watt balance it's actually now called a kibble balance in honor of its inventor Brian kibble who actually passed away in 2016 you know traditional balances work by equating the gravitational forces on objects in two pans the kibble balance looks kind of similar but all of the balancing happens on the left hand side where a mass pan is attached to a coil of wire in a magnetic field on the right hand side is a motor the whole apparatus is sealed and operated in vacuum the balance operates in two modes weighing mode and velocity mode and both are required to determine Plank's constant in weighing mode a kilogram Mass standard is placed on the mass pan and then current is passed through the coil in the magnetic field and adjust it until the weight of the kilogram is equal and opposite to the electromagnetic force on the the coil the equation for this is mass time the local gravitational acceleration is equal to the magnetic field time the length of wire in the coil times the current flowing through it in this equation the variables that are difficult to measure exactly are the magnetic field strength and the length of wire in the coil but luckily the kibble balance allows us to get around this problem using velocity mode in velocity mode the kilogram mass is lifted off the mass pan and now the motor on the other side of the balance is used to move the coil back and forth at constant velocity through the magnetic field this motion induces a voltage in the coil which is equal to the magnetic field times the length of wire in the coil times its velocity now we have two equations which we can solve for b * L and so we can set them equal to each other and eliminate these variables without having to know precisely what their values are and if we rearrange a little bit you get voltage time current equals mass time gravity time velocity on the left hand side there is electrical power and on the right hand side mechanical Power and that's why this was called the watt the unit of Power Balance but how do you go from this to Plank's constant the number that relates a photon's frequency to its energy well it turns out there's actually a way of measuring voltage accurately using a macroscopic Quantum effect that involves Joseph's injunctions so a Joseph's injunction consists of two superconductors separated by a thin piece of insulator now if you apply microwave radiation to that Junction you create a voltage across the device and its value is precisely known to be HF over 2E where H is planks constant f is the frequency of the radiation and E is the charge on an electron Now by tuning that frequency and stacking as many of these Joseph injunctions as you want in series you can create virtually any voltage you like very very precisely the way this is used in the kibble balance is a stack of hundreds of thousands of Joseph's injunctions are put into the circuit with the coil as it is moved through the field and so you exactly balance the voltage which is induced in the coil using those Josephs injunctions so you can measure that voltage very very accurately but how do we measure current well it turns out this voltage measuring method is so good that instead of trying to measure current directly we instead measure V on R which is the same thing so this current is passed through a resistor and we measure that voltage again using Joseph's injunctions and then to measure resistance we use another macroscopic quantum Effect called the quantum Hall effect which is beyond the scope of this video but suffice it to say that the resistance measurement will be an integer fraction 1 over P times Plank's constant divided by the charge on the electron squared so if we sub all of this into our equation and solve for H we have that Plank's constant is equal to 4 over pn^ 2 those are all constant numbers that we know times the local acceleration due to gravity time velocity divid frequency squar time the mass which is 1 kg so here we have a very precise equation for Plank's constant in terms of the mass of 1 kilogram now to get an answer that's good to say 10 parts per billion you need to know all of these values very accurately so to measure V for example the velocity of the coil as it moves through the magnetic field we use a laser interferometer as the distance to the coil changes the interference fringes pass over a detector and essentially by counting how many fringes go past in a certain period of time you can determine the speed of the core oil very accurately to measure g a device called a gravimeter was used to map out the local acceleration due to gravity in the balance room before it was built in there the gravimeter actually drops a corner reflector down a vacuum tube and measures its acceleration again through interferometry counting the fringes as they pass this is a 3D printed map of the acceleration due to gravity in the kibble balance room the bump is due to the mass of the powerful and very heavy permanent magnet that's in the balance the acceleration gravity must continually be measured because it can be affected at this level of precision by the positions of the Sun and Moon and even the water table underneath the building in 2018 the kilogram will no longer be defined by an object in Paris instead it will be defined based on the fixed value of planks constant which is being finalized right now as a result of all these measurements from the kibble balances and silicon spheres so right now what we do is we put the mass in and we get age out and 20 of the redefinition age will be fixed and we use that to realize you the M easy yeah just that just that easy yeah just that simple simple hey this episode of veritasium was supported in part by viewers Like You on patreon and by audible who as you probably know because they're longtime supporters of the channel are leading providers of spoken audio information including Audi books original programming news comedy and more and for viewers of this channel they offer a free 30-day trial just go to audible.com/veritasium you know recently I've been traveling around the world to Israel London Mexico City and tomorrow I'm off to New Orleans because I'm shooting uh stuff for Netflix and what I'll be listening to on the plane is Steven Pinker the better angels of our nature this is an awesome book that takes a scientific and statistical approach to the question of when is the best time to be alive as a human and his answer is now whether it seems like it or not violence and all the terrible things that humans have to deal with has been on the decline for centuries and if you want the statistical proof for that you should check out this book it is fantastic um and if you want you can download it for free by going to audible.com/veritasium or you can pick any other book of your choosing for a one-month 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