Question

MY NOTES ASK YOUR TEACHER In the Bohr model of the hydrogen atom, an electron in the 8th excited state moves at a speed of 3.42 104 m/s in a circular path of radius 3.39 10-9 m. What is the effective current associated with this orbiting electron

Answer 1

The value is
`I = 2.568*10^(-7)\ A`

Step-by-step explanation:

From the question we are told that

The speed of the electron is
`v = 3.42*10^(4) \ m/s`

The radius is
`r = 3.39 *10^(-9) \ m`

Generally the frequency of the electron is mathematically represented as

`f = (v)/(2 \pi * r )`

=>
`f = (3.42 *10^(4))/(2 * 3.142 * 3.39*10^(-9) )`

=>
`f = 1.605 *10^(12) \ s^(-1)`

Generally the current is mathematically represented as

`I = e * f`

Here e is the charge on an electron with value
`e = 1.60*10^(-19) \ C`

So

`I = 1.60*10^(-19) *1.605 *10^(12)`

=>
`I = 2.568*10^(-7)\ A`