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The allowed energies of a simple atom are 0.0 eV, 5.0 eV and 8.0 eV . An electro

ID: 1568950 • Letter: T

Question

The allowed energies of a simple atom are 0.0 eV, 5.0 eV and 8.0 eV . An electron traveling at a speed of 1.9×106 m/s collisionally excites the atom.

Part A

What is the minimum speed the electron could have after the collision?

Express your answer with the appropriate units.

Part B What is the maximum speed the electron could have after the collision? Express your answer with the appropriate units.

NEED PART B BY 11:59!!

The allowed energies of a simple atom are 0.0 eV, 5.0 eV and 8.0 eV . An electron traveling at a speed of 1.9×106 m/s collisionally excites the atom.

Part A

What is the minimum speed the electron could have after the collision?

Express your answer with the appropriate units.

Part B What is the maximum speed the electron could have after the collision? Express your answer with the appropriate units.

NEED PART B BY 11:59!!

Explanation / Answer

the allowed energy(E) for the atom in joule are

E1   0.0eV   0

E2    5ev      5*1.6*10^-19=8*10^-19J

E3       8ev    8*1.6*10^-19=12.8*10^-19 J

E for electron is  

E0=1/2*m*v*v=1/2*9.1*10^-31*sq(1.9*10^6) =16.425*10^-19 J

possible E for e- for 3 energy level are

E1=16.425*10^-19-0=16.425*10^-19J

E2=(16.425-8)*10^-19=8.425*10^-19J

E3=3.625*10^-19J

E1 is max and E3 is min.so corresponding velocity will be max or min

v*v=2*E/m

v1=sqrt(2*E1/m)=sqrt(2*16.425*10^-19/(9.1*10^-31))=1.899*10^6m/s v max

v2=0.89*10^6m/s   v min

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