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MasteringPhysics: Assign... X a https://session.masteringphysics.com/myct/itemview?assignmentproblemID 46273737 University of Michigan Physics 235 Winter 2015 Assignment 5 Magnetic forces and To Exercise 2 Magnetic Moment of the Hydrogen Atom Exercise 27.43: Magnetic Moment of the Hydrogen Atom Part A In the Bohr model of the hydrogen atom, in the lowest energy state the electron orbits the What is the orbital period of the electron? proton at a speed of 2.2 x 10 m/s in a circular orbit of radius 5.3 x 10 m. Express your answer using two significant figures. Submit My Answers Give Up Part B If the orbiting electron is considered to be a current loop, what is the current I? Express your answer using two significant figures mA My Answers Give Up Part C What is the magnetic moment of the atom due to the motion of the electron? Express your answer using two significant figures. My Answers Give Up c Google Signed in as Tony Bryant Help close Resources r previous I 4 of 14 I next Continue Provide Feedback 4:56 PM 2/18/20

Explanation / Answer

Part A:

Orbital period of electron=2?*radius/speed of electron

                                =2*3.14*5.3*10-11/2.2*106

                                =1.513*10-16 sec

Part B.

Current in loop=Charge on electron/orbital period

                                =1.6*10-19/1.513*10-16

                                =1.07 mA

Part C:

Magnetic moment=I*A

Here, A=?r2=3.14*(5.3*10-11)2=8.82*10-21 m2

Magnetic moment=1.07*10-3*8.82*10-21=9.438*10-24 A.m2

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