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The mathematical expression for the uncertainty principle isA. `Delta x Delta p ge (h)/(4pi)`B. `Delta E Delta r ge (h)/(4pi)`C. `Delta x Delta p ge (h)/(p)`D. `Delta E Delta r ge (h)/(p)` |
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Answer» `Delta x Delta p ge (h)/(4pi) b. We know that `Delta E = m Delta I^(2) = m((Delta x)/(Delta t))^(2)` `or Delta E -Delta t = m(Delta x^(2))/(Delta t)` `Delta x Delta p gt (h)/(4pi)` or `Delta x m Delta V ge (h)/(4pi)` `rArr Delta x m (Delta x)/(Delta t) ge (h)/(4pi)` ` rArr m (Delta x)/(Delta t) ge (h)/(4pi)` On compairing (i) and (ii) we get `delta E = Delta t ge (h)/(4pi)` |
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