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JEE Main & Advanced AIEEE Solved Paper-2009

  • question_answer
    In an atom, an electron is moving with a speed of 600 m/s with an accuracy of 0.005%. certainity with which the position of the electron can be located is \[h=6.6\times {{10}^{34}}kg\]\[{{m}^{2}}{{s}^{1}},\]mass of electron\[{{e}_{m}}=9.1\times {{10}^{31}}kg\]):     AIEEE  Solved  Paper-2009

    A) \[1.52\times {{10}^{4}}m\]         

    B) \[5.01\times {{10}^{3}}m\]

    C)                                        \[1.92\times {{10}^{3}}m\]

    D)        \[3.84\times {{10}^{3}}m\]

    Correct Answer: C

    Solution :

    \[\Delta v=.=9.1\times {{10}^{31}}kg\] \[\Delta x=?\] \[\Delta x\times m\Delta v\ge \frac{h}{4\pi }\] \[\Delta x\ge \frac{h}{4m\Delta v\pi }\] \[\ge \frac{6.6\times {{10}^{-34}}}{4\times 9.1\times {{10}^{-31}}\times 0.03\times 3.14}\] \[\ge 1.9248\times {{10}^{-3}}\]


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