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You Want to Make Simultaneous Measurements of the Position and Momentum

question 42

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You want to make simultaneous measurements of the position and momentum of an electron and a proton that are moving along a straight line. An alternate statement of the uncertainty principle involves relationship between position Δ\Delta x) and momentum Δ\Delta p) uncertainties in the form  You want to make simultaneous measurements of the position and momentum of an electron and a proton that are moving along a straight line. An alternate statement of the uncertainty principle involves relationship between position  \Delta x)  and momentum  \Delta p)  uncertainties in the form   . If both of them are located with an uncertainty of 1 × 10<sup>-10</sup>m, what is the ratio of uncertainty in the velocity of the electron to that of the proton? A)  1.672 B)  1837 C)  9.109 D)  0.177 E)  5.443 . If both of them are located with an uncertainty of 1 × 10-10m, what is the ratio of uncertainty in the velocity of the electron to that of the proton?


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