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CBSE Class 12-science Answered

potential difference v is applied across x-ray tube IF e/m is the charge to mass ratio of an e & c is the speed of ligh in vacum the ratio of the de broghlie wavelength of incident electrons to the shortest wavelength of x-rays produced is given by
Asked by phani8919movva | 05 Jul, 2022, 08:09: PM
answered-by-expert Expert Answer
Wavelength λx of x-ray from x-ray tube is determined from following relation
 
eV = h ν = h (c / λx )
 
where h is plancks constant , e is charge of electron and V is accelerating voltage
 
begin mathsize 14px style lambda subscript x space equals space fraction numerator h space c over denominator e space V end fraction end style
begin mathsize 14px style d e space b r o g l i e space w a v e l e n g t h space space space lambda subscript d equals space fraction numerator h over denominator m v end fraction space equals space fraction numerator h over denominator square root of 2 space E space m end root end fraction space equals space fraction numerator h over denominator square root of 2 space e V space m end root end fraction end style

where m is mass of electron, v is velocity of electron and E is kinetic energy
 
The ratio of de broglie wavelength to wavelength of x-ray
 
begin mathsize 14px style lambda subscript d over lambda subscript x space equals space 1 over c square root of fraction numerator e V over denominator m end fraction end root end style
Answered by Thiyagarajan K | 06 Jul, 2022, 12:37: PM
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