MGIMS WARDHA MGIMS WARDHA Solved Paper-2008

  • question_answer
    For a certain particle, it is found that uncertainty in velocity is reciprocal of uncertainty in position. This implies that

    A)  mass of particle > unity

    B) mass of particle = unity

    C) mass of particle\[\le \]h

    D) mass of particle\[\ge h/4\pi \]

    Correct Answer: D

    Solution :

    According to Heisenberg?s uncertainty principle \[\Delta x.\Delta p\ge \frac{h}{4\pi }\]                   \[(\because \Delta p=m\Delta v)\] \[\Delta x.m.\Delta v\ge \frac{h}{4\pi }\] Given,     \[\Delta x=\frac{1}{\Delta v}\] Thus,         \[m\ge \frac{h}{4\pi }\]


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