The uncertainty in the y -component of a proton\'s position is 2.7×1012m. Part A

Question

The uncertainty in the y-component of a proton's position is 2.7×1012m.

Part A

What is the minimum uncertainty in a simultaneous measurement of the y-component of the proton's velocity?

Part B

The uncertainty in the z-component of an electron's velocity is 0.260 m/s . What is the minimum uncertainty in a simultaneous measurement of the z-coordinate of the electron?

Exercise 39.45 Part A The uncertainty in the y-component of a proton's position is 2.7 × 10-12 m. What is the minimum uncertainty in a simultaneous measurement of the y-component of the proton's elocity? m/s Submit My Answers Give Up Part B The uncertainty in the z-component of an electron's velocity is 0.260 m/s. What is the minimum uncertainty in a simultaneous measurement of the z-coordinate of the electron? Submit My Answers Give Up Provide Feedback Continue

Explanation / Answer

a) delta v > [ h / 4 pi * m * delta x]

= [6.625 * 10-34] / [4 pi * 1.67 * 10-27 * 2.7 * 10-12]

= 1.17 * 104 m/s

b) delta x > [ h / 4 pi * m * delta v]

= [6.625 * 10-34] / [4 pi * 9.1 * 10-31 * 0.260]

= 2.22 * 10-4 m

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