JIPMER Jipmer Medical Solved Paper-2002

  • question_answer
    The uncertainity in the momentum of an electron is \[1.0\times {{10}^{-5}}\,kg\,m{{s}^{-1}}\]. The uncertainity in its position will be: \[(h=6.62\times {{10}^{-34}}\,kg\,{{m}^{2}}{{s}^{-1}})\]

    A)  \[1.05\times {{10}^{-28}}m\]                    

    B)  \[1.05\times {{10}^{-26}}m\]    

    C)         \[5.27\times {{20}^{-30}}m\]

    D)         \[5.25\times {{10}^{-28}}\,m\]

    Correct Answer: C

    Solution :

    According to Heisenbergs uncertainity principle \[\Delta x\cdot \Delta p=\frac{h}{4\pi }\] \[\therefore \]  \[\Delta x=\frac{h}{4\pi \cdot \Delta p}\] \[=\frac{6.62\times {{10}^{-34}}\times 7}{4\times 22\times 1.0\times {{10}^{-5}}}\] \[=5.27\times {{10}^{-30}}m\]


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