JEE Main & Advanced Chemistry Structure of Atom / परमाणु संरचना Question Bank Mock Test - Atomic Structure

  • question_answer
    Uncertainty in position of a minute particle of mass 25 g in space is \[{{10}^{-5}}^{{}}\] m. The uncertainty in its velocity (in m/s) is

    A) \[2.1\times {{10}^{-34}}\]        

    B) \[0.5\times {{10}^{-34}}\]

    C) \[2.1\times {{10}^{-28}}\]        

    D) \[0.5\times {{10}^{-23}}\]

    Correct Answer: C

    Solution :

    [c] \[\Delta x.\Delta p=\frac{hv}{4\pi };\Delta x.m.\Delta v=\frac{h}{4\pi }\]             \[\Delta v=\frac{h}{4\pi m.\Delta x}=\frac{6.626\times {{10}^{-34}}}{4\times 3.14\times 25\times {{10}^{-3}}\times {{10}^{-5}}}\]             \[=2.1\times {{10}^{-28}}m/s\]


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