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The Schrodinger equation for a free electron of mass m and energy W written in terms of the wave function `Psi` is `(d^(1)Psi)/(dx^(2))+(8pi^(2)mE)/(h^(2))Psi=0`. The dimensions of the coefficient of `Psi` in the second term must beA. `[M^(1)L^(1)]`B. `[L^(2)]`C. `[L^(-2)]`D. `[M^(1)L^(-1)T^(1)]` |
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Answer» Correct Answer - C `h = (E lamda)/(C)` `(mEC^(2))/((E lamda)^(2))=(mEC^(2))/(E^(2)lamda^(2))=(M^(1)(L^(1)T^(-1))^(2))/(M^(1)L^(2)T^(-2)L^(2))=(L^(2)T^(-2))/(L^(2)T^(-2)L^(2))=L^(-2)` |
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