NEET Sample Paper NEET Sample Test Paper-67

  • question_answer
    The measurement of the electron position is associated with an uncertainty in momentum, which is equal to\[1 \,\times \, 1{{0}^{-}}^{18}g cm {{s}^{-}}^{1}\]. The uncertainty in electron velocity is  (mass of an electron is \[9 \,\times \, 1{{0}^{-28}}\,g\])

    A) \[1\, \times \, 1{{0}^{6}}cm {{s}^{-}}^{1}\]

    B) \[1\, \times \, 1{{0}^{5}}\,cm {{s}^{-}}^{1}\]

    C) \[1\, \times \, 1{{0}^{11}}\,cm {{s}^{-}}^{1}\]          

    D) \[1.1\, \times \, 1{{0}^{9}}\,cm {{s}^{-}}^{1}\]

    Correct Answer: D

    Solution :

    \[\Delta x\cdot \,\,\Delta u=\frac{h}{4\pi m}\] \[\Delta p=1\times {{10}^{-18}}\,g\,\,cm\,\,{{\sec }^{-1}}\] \[m\times \Delta u= 1 \times  1{{0}^{-}}^{18}\] \[\therefore \,\,\,\,\Delta u=\frac{1\times {{10}^{-18}}}{9\times {{10}^{-28}}}\,\,=\,\,1.1\times {{10}^{9\,}}cm\,\,{{\sec }^{-1}}\]


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