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JEE Main & Advanced Chemistry Structure of Atom / परमाणु संरचना Question Bank Self Evaluation Test - Structure of Atom

  • question_answer
    The uncertainty in the position of an electron \[(mass=9.1\times {{10}^{28}}g)\] moving with a velocity of \[3.0\times {{10}^{4}}cm\text{ }{{s}^{-1}}\] accurate up to 0.011 % will be

    A) 1.92 cm      

    B) 7.68 cm

    C) 0.175 cm  

    D) 3.84 cm

    Correct Answer: C

    Solution :

    [c] \[\Delta x.\Delta p=\frac{h}{4\pi }\]  or \[\Delta x.m\Delta v=\frac{h}{4\pi };\] \[\Delta v=\frac{0.011}{100}\times 3\times {{10}^{4}}=3.3cm{{s}^{-1}}\]  \[\Delta x=\frac{6.6\times {{10}^{-27}}}{4\times 3.14\times 9.1\times {{10}^{-28}}\times 3.3}=0.175cm\]


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