JEE Main & Advanced Sample Paper JEE Main Sample Paper-38

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

    A) \[1.92\,\,cm\]                 

    B)  \[7.68\,cm\]

    C)  \[0.175\,cm\]                

    D)  \[3.84\,cm\]

    Correct Answer: C

    Solution :

     \[\Delta x=(h.4\pi )\times m\times \Delta v\]\[=\frac{6.6\times {{10}^{-27}}\times 100}{4\times 3.14\times 9.1\times {{10}^{-28}}\times 3\times {{10}^{4}}\times 0.011}=0.175cm\]


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