You Want to Make Simultaneous Measurements of the Position and Momentum

Multiple Choice

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^-10m, 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