0:00
Hi there.
00:01
So for this problem, we are told that an hydrogen atom has an electron in the 13 state.
00:10
So n is equal to 13.
00:13
So the question is, what is the speed of this electron in the bore model in kilometers per second? so the first thing that we need to determine in this case is the radius of the orbit of this electron.
00:28
So the radius of the radios of this electron.
00:29
So the radius of, of that orbit is equal to the radius for the ground state, which we know is a constant that is 0 .059 nanometers, and this times 13 to the square.
00:57
So from this product, we obtain a value of 8 .94.
01:08
Times 10 to the minus 9 meters, which is the same as 8 .94 nanometers.
01:19
Now, to obtain the speed of this electron at this position is going to be just simply the square root of columns constant times the charge of an electron square, and this divided by the mass of the electron, times the radius of its orbit.
01:47
Now, we just need to simply substitute the values in here, so that will be...