JEE Main & Advanced Chemistry Structure of Atom Question Bank Uncertainty principle and Schrodinger wave equation

  • question_answer The uncertainty in the position of a moving bullet of mass 10 gm is \[{{10}^{-5}}m\]. Calculate the uncertainty in its velocity [DCE 1999]

    A)                 \[5.2\times {{10}^{-28}}m/sec\]               

    B)                 \[3.0\times {{10}^{-28}}m/sec\]

    C)                 \[5.2\times {{10}^{-22}}m/sec\]               

    D)                 \[3\times {{10}^{-22}}m/sec\]

    Correct Answer: A

    Solution :

               Uncertainty of moving bullet velocity \[\Delta v=\frac{h}{4\pi \times m\times \Delta v}=\frac{6.625\times {{10}^{-34}}}{4\times 3.14\times .01\times {{10}^{-5}}}\]                                     \[=5.2\times {{10}^{-28}}m/sec\].

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