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Assertion:- Kinetic energy of two subatomic particles, having same de-Broglie’s wavelength is same. Reason:- de-Broglie’s wavelength is directly related to mass of subatomic particles. How are both statements false? (Please explain why (especially) assertion is false)

Assertion:- Kinetic energy of two subatomic particles, having same de-Broglie’s wavelength is same.

Reason:- de-Broglie’s wavelength is directly related to mass of subatomic particles.

How are both statements false? (Please explain why (especially) assertion is false)

Grade:12th pass

1 Answers

sam
22 Points
6 years ago
The two subatomic particles may be diferent or same.
If they are same, then their de-Broglie's wavelength will be same. i.e both proton, or both electron etc
If there are different, both will have a different mass than the other,then from our equation
{\color{Red} \lambda }= h/ \sqrt{2m(K.E)}
since  \lambda is same and h is a constant, product of 'm’ and K.E will be same. But for different 'm', KE will be different. 
 
The reason is wrong as \lambda = h/mv
thus it is inversely proportional to m
 
 

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