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Physical Chemistry

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10 Oct 2008 13:16:37 IST
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Atomic structure-Ineresting one!!!!
None

Calculate the ratio between the wavelength of an elecron and a proton if the proron is moving with the velocity of electron????


 


I calculated it to be 1833


 


But the given answer is half of it ,i.e., 916.5


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Rohit's Avatar

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10 Oct 2008 13:18:21 IST
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Use mass of electron-


mass of proton-

Rohit's Avatar

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10 Oct 2008 21:27:17 IST
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Please answer anyone
Rohit's Avatar

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10 Oct 2008 22:00:44 IST
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Will rate each answer

Blazing goIITian

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10 Oct 2008 22:11:54 IST
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your answer is right.


i equated 1/2 mv2 with hc/lamda


maybe we have to take the rotational KE of the electron and the proton

Rohit's Avatar

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10 Oct 2008 22:25:02 IST
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But why??
Rohit's Avatar

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10 Oct 2008 23:17:11 IST
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Help please
Priyesh's Avatar

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10 Oct 2008 23:36:00 IST
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lamda = h/mv




 


since v is same




 


lambda is inversely proportional to mass so




 


lambda(electron) / (lambda(proton) =  mass(proton) / mass(electron)  = 1833

Rohit's Avatar

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10 Oct 2008 23:39:09 IST
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But the given answer is half of it

Hot goIITian

Joined: 24 May 2007
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11 Oct 2008 16:38:39 IST
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i think ur answer is right it's 1833.
Viraj Malkar's Avatar

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12 Oct 2008 16:37:15 IST
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The wavelength of a particle by De-Broglie's experment is 


Wavelength = Plank's Const / (mass of particle * Its velocity)


Therefore


For finding the ratio of the wavelength of electron is to wavelength of proton,we simply have to divide the masses of proton with the mass of electron as the velocity of both the particles is same.


i.e (Lambda elec)/(Lambda proton) = (h/mass of electron*vel) * (mass of proton*vel/h)


                                                              = mass of proton / mass of electron


                                                              = 1833 approximetly.


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