JEE Main & Advanced Sample Paper JEE Main - Mock Test - 43

  • question_answer
    In an atom, an electron is moving with a speed of 600 m/s with an accuracy of 0.005%. Certainty with swish the position of the electron can be located is  \[(h=6.6\times {{10}^{-~34}}kg\,{{m}^{2}}{{s}^{-1}},{{e}_{m}}=9.1\times {{10}^{-31}}kg)\]-

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

    B)        \[5.10\times {{10}^{-3}}m\]

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

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

    Correct Answer: C

    Solution :

    [c] \[\left( \Delta P \right)\left( \Delta x \right)=\frac{h}{4\pi }\] \[\left( \Delta x \right)=\frac{h}{4\pi m\left( \Delta V \right)}\] \[=\frac{6.6\times {{10}^{-34}}}{4\times \frac{22}{7}\times 9.1\times {{10}^{-31}}\times 600\times \frac{5\times {{10}^{-3}}}{100}}\] \[=\frac{66\times 7\times {{10}^{-34}}\times {{10}^{3}}\times {{10}^{31}}}{4\times 22\times 91\times 6\times 5}\] \[=\frac{7}{40\times 91}\] \[=1.92\times {{10}^{-3}}m\]


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