NEET Chemistry Structure of Atom / परमाणु संरचना NEET PYQ-Structure of Atom

  • question_answer
    The position of both, an electron and a helium atom is known within 1.0 mm. Further the momentum of the election is known within \[5.0\times {{10}^{-26}}\,kg\,m{{s}^{-1}}\]. The minimum uncertainty in the measurement of the momentum of the helium atom is:                                     [AIPMT 1998]

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

    B)       \[80\,kg\,m{{s}^{-1}}\]

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

    D)  \[5.0\times {{10}^{-26}}\,kg\,m{{s}^{-1}}\]

    Correct Answer: D

    Solution :

    By Heisenberg uncertainty principle
                            \[\Delta x\times \Delta p\ge \frac{h}{4\pi }\]
                when the position of electron and helium atoms is known and momentum of electron is also known within a range, therefore the momentum of helium atom is equal to the momentum of electron
                i.e.,       \[5\times {{10}^{-26}}\,kg\,m{{s}^{-1}}\]


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