So this is our uncertainty in velocity and here they're giving us the mass of the subatomic particles. Alright, so remember uncertainty in momentum is Delta P here we're giving the speed in which it's moving. The massive a neutron is given as 1.67510 times 10 to the negative 27 kg. times 10 to the seventh meters per second. Here, it says calculate the uncertainty in momentum off a neutron moving at 6. In this example we're going to talk about the uncertainty involved with a neutron.

When it comes to Plank's constant, the units can either be in jewels, time, seconds or kilograms, times meter squared over seconds. So this is equivalent to also saying kilograms times meter squared over seconds. That would mean that Jules Times seconds equals kilograms times meter squared over second squared times s so one second will cancel with one second here. Remember that one? Jewell is equal to kilograms times meter squared over second squared. Remember, this could be further expanded by substituting in mass times, uncertainty and velocity and then h is Plank's constant, which is 6.626 times 10 to the negative. So here what's going to be that Delta X, which is our uncertainty in position in terms of meters times Delta P, which we just said is the uncertainty in our momentum. Now here it's going to say it's used when given the uncertainties in position and momentum. Now, with this, we go on to the uncertainty principle formula itself. And then v here represents the uncertainty and it will be Delta v the uncertainty in our velocity. The M here is just the mass in kilograms of our electron. We're going to say here that are uncertainty in position. We're going to say that Delta P equals R uncertainty and momentum, and here it's in units of kilograms times meters over seconds.

Now we're going to say mo mentum can be described as mass in motion. Now here we're going to say that it can be broken down in terms off uncertainty and momentum and then the uncertainty principle formula itself. With the inability to determine both the velocity and position of an electron, comes the Heisenberg uncertainty principle. And that's the reason why you can't know both the velocity and position of an electron at the same exact time Now this relationship, we call it complementarity, where electrons can be seen as either particles or waves, but not both simultaneously. Again, Some say that light energy can be seen as just a cluster off particles known as photons. Remember, light energy can move in the form of a wave, and we're going to say that the position, often electron, is related to its particle nature. We're going to say here that the velocity or speed, often electron, is related to its wave nature. Be hitting both as a wave, and a particle is a reason for this issue. But you wouldn't know how fast it's moving now related to an electron.

But you won't know what's position, and conversely, you might know where it's located. Now, the physicist Werner Heisenberg theorized that the velocity and position of an electron cannot be calculated simultaneously, meaning that you might know the velocity or speed oven electron as it's traveling.

Heisenberg principle formula