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Find the ratio of de-Broglie wavelengths, associated with (i) Protons, accelerated through a potential of 128 V, and (ii) alpha-particles, accelerated through a potential of 64 V. |
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Answer» <P> Solution :`lambda=(h)/(sqrt(2meV))`(i) for problem, `lambda_(1)=(h)/(sqrt(2m_(p)exx128))`….(1) (ii)For `alpha`-PARTICLE , `lambda_(2)=(h)/(sqrt(2m_(alpha).(2e)xx64))`…(2) Divide EQ.(1) by eq.(2) `(lambda_(1))/(lambda_(2))=sqrt((m_(alpha)xx128)/(m_(p)xx128))` `=sqrt((m_(alpha))/(m_(p)))` `=sqrt((4m_(p))/(m_(p)))=sqrt4=(2)/(1)` |
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