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In the Bohr model of the hydrogen atom, in the lowest energy state the electron

ID: 2006210 • Letter: I

Question

In the Bohr model of the hydrogen atom, in the lowest energy state the electron orbits the proton at a speed of 2.2 x10^6 m/s in a circular orbit of radius 5.3x10^-11 m.

A) What is the orbital period of the electron?
Express your answer using two significant figures.
T =?

B) If the orbiting electron is considered to be a current loop, what is the current I?
Express your answer using two significant figures.
I =?

C) What is the magnetic moment of the atom due to the motion of the electron?
Express your answer using two significant figures.

mu =?

Explanation / Answer

(A) From the definition of speed , speed = distance/tine
   time = distance/speed = 2*3.142*5.3*10^-11 /2.2*10^6 m/s
   = 15.138 *10^-17 sec                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           = 15.138 *10^-17 sec