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NEET Sample Paper NEET Sample Test Paper-70

  • question_answer
    The position of both an electron and a helium atom is known within 1.0 nm and the momentum of the electron is known within\[50 \times  1{{0}^{-}}^{26}kg m{{s}^{-1}}\]. The minimum uncertainty in the measurement of the momentum of the helium atom is

    A) \[50\text{ }kg\,m{{s}^{-}}^{1}\]  

    B) \[60\text{ }kg\,m{{s}^{-}}^{1}\]

    C) \[80\,\,\times \,\,{{10}^{-26}}\,\,kg\,ms{{\,}^{-1}}\]

    D) \[50\,\,\times \,\,{{10}^{-26}}\,\,kg\,ms{{\,}^{-1}}\]

    Correct Answer: D

    Solution :

    The product of uncertainties in the position and the momentum of a subatomic particle\[=\,\,h/4\pi \]. Since \[\Delta x\] is the same for electron and helium, so \[\Delta p\] must be the same for both the particles, i.e., \[50 \times  1{{0}^{-}}^{26}kg\,m{{s}^{-}}^{1}\] (given).


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