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

  • question_answer Uncertainty in position of a 0.25 g particle is \[{{10}^{-5}}\]. Uncertainty of velocity is \[(h=6.6\times {{10}^{-34}}\,Js)\] [AIEEE 2002]

    A)                 \[1.2\times {{10}^{34}}\]             

    B)                 \[2.1\times {{10}^{-29}}\]

    C)                 \[1.6\times {{10}^{-20}}\]            

    D)                 \[1.7\times {{10}^{-9}}\]

    Correct Answer: B

    Solution :

               According to \[\Delta x\ \times m\ \times \Delta v=\frac{h}{4\pi }\]; \[\Delta v=\frac{h}{\Delta x\ \times m\ \times 4\pi }\]                 \[=\frac{6.6\times {{10}^{-34}}}{{{10}^{-5}}\times 0.25\times 3.14\times 4}=2.1\times {{10}^{-29}}\ \ m/s\]

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