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Relativistic corrections become necessary when the expression for the kinetic energy (1)/(2)mv^(2), becomes comparable with mc^(2),where m is the mass of the particle.At what de-Broglie wavelength will realtivistic corrections become important for an electron? |
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Answer» `lambda`=10 nm `lambda_(min)=(h)/(mv_(max))=(h)/(mc)` ………(1) `therefore lambda_(min)=(6.625xx10^(-34))/(9.1xx10^(-31)xx3xx10^(8))` `therefore lambda_(min)=0.002427`nm ........(2) `implies` From equations (1) and (2) , we can that if `VGTC` then `lambda ltlambda_(min)` Here in options (C )and (D) ,we are given `lambdaltlambda_(min)`.Hence in these two CASES we get `vgtC`. Hence in these two cases,we would require to make correction based upon theory of relativity. |
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