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if proton and alpha particle are accelerated through same potential difference from rest then the ratio of their wave number will be what?

Asked by imtiyazmulla68 19th November 2017, 7:40 PM
Answered by Expert
Answer:
For space proton
straight lambda subscript straight p space equals fraction numerator straight h over denominator square root of 2 straight m subscript straight p straight q subscript straight p straight v end root end fraction
straight lambda subscript straight alpha equals space fraction numerator straight h over denominator square root of 2 straight m subscript straight alpha straight q subscript straight alpha straight v end root end fraction
straight m subscript straight alpha equals space 4 straight m subscript straight p
straight q subscript straight alpha equals space 2 straight q subscript straight p

straight lambda subscript straight alpha equals space fraction numerator straight h over denominator square root of 8 straight m subscript straight p 2 straight q subscript straight p straight v end root end fraction

Wave space number space straight nu equals straight C over straight lambda
straight nu subscript straight p over straight nu subscript straight alpha space equals space straight lambda subscript straight alpha over straight lambda subscript straight p
space space space space space equals space fraction numerator square root of 16 over denominator square root of 2 end fraction
space space space space space space equals space fraction numerator square root of 8 over denominator 1 end fraction
space straight nu subscript straight p over straight nu subscript straight alpha space equals space 2 square root of 2 space colon space 1
Answered by Expert 20th November 2017, 3:06 PM
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