The minimum uncertainty in a simultaneous measurement of the y component of the proton’s velocity if uncertainty in the measurement of the y component of the proton’s position is 2.0 × 10 − 12 m .

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Answer 1

Question

Chapter 39, Problem 39.45E

(a)

To determine

The minimum uncertainty in a simultaneous measurement of the y component of the proton’s velocity if uncertainty in the measurement of the y component of the proton’s position is 2.0×10−12 m .

(b)

To determine

The minimum uncertainty in a simultaneous measurement of the z component of the electron’s position if uncertainty in the measurement of the z component of the electron’s velocity is 0.250 m/s .

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Students have asked these similar questions

(a) The uncertainty in the y-component of a proton’s position is 2.0 * 10-12 m. What is the minimum uncertainty in a simultane- ous measurement of the y-component of the proton’s velocity? (b) The uncertainty in the z-component of an electron’s velocity is 0.250 m/s. What is the minimum uncertainty in a simultaneous measurement of the z-coordinate of the electron?

Suppose the position of a chlorine ion in a membrane is measured to an accuracy of 0.75 μm. a) What is its minimum uncertainty in velocity in meters per second, given its mass is 5.86 × 10-26 kg? b) If the ion is measured to have a velocity of 8.9 × 103 m/s, what is the uncertainty in its kinetic energy in electron volts?

If a proton has an uncertainty in its velocity of 5.90 × 10⁻⁴ m/s, what is the uncertainty (in meters) in its position?

Answer 2

Question

Chapter 39, Problem 39.45E

(a)

To determine

The minimum uncertainty in a simultaneous measurement of the y component of the proton’s velocity if uncertainty in the measurement of the y component of the proton’s position is 2.0×10−12 m .

(b)

To determine

The minimum uncertainty in a simultaneous measurement of the z component of the electron’s position if uncertainty in the measurement of the z component of the electron’s velocity is 0.250 m/s .

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Answer 3

Question

Chapter 39, Problem 39.45E

(a)

To determine

The minimum uncertainty in a simultaneous measurement of the y component of the proton’s velocity if uncertainty in the measurement of the y component of the proton’s position is 2.0×10−12 m .

(b)

To determine

The minimum uncertainty in a simultaneous measurement of the z component of the electron’s position if uncertainty in the measurement of the z component of the electron’s velocity is 0.250 m/s .

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Answer 4

Question

Chapter 39, Problem 39.45E

(a)

To determine

The minimum uncertainty in a simultaneous measurement of the y component of the proton’s velocity if uncertainty in the measurement of the y component of the proton’s position is 2.0×10−12 m .

(b)

To determine

The minimum uncertainty in a simultaneous measurement of the z component of the electron’s position if uncertainty in the measurement of the z component of the electron’s velocity is 0.250 m/s .

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Answer 5

Chapter 39, Problem 39.45E

(a)

To determine

The minimum uncertainty in a simultaneous measurement of the y component of the proton’s velocity if uncertainty in the measurement of the y component of the proton’s position is 2.0×10−12 m .

(b)

To determine

The minimum uncertainty in a simultaneous measurement of the z component of the electron’s position if uncertainty in the measurement of the z component of the electron’s velocity is 0.250 m/s .

Answer 6

Chapter 39, Problem 39.45E

(a)

To determine

The minimum uncertainty in a simultaneous measurement of the y component of the proton’s velocity if uncertainty in the measurement of the y component of the proton’s position is 2.0×10−12 m .

Answer 7

Chapter 39, Problem 39.45E

(a)

To determine

The minimum uncertainty in a simultaneous measurement of the y component of the proton’s velocity if uncertainty in the measurement of the y component of the proton’s position is 2.0×10−12 m .

Answer 8

(b)

To determine

The minimum uncertainty in a simultaneous measurement of the z component of the electron’s position if uncertainty in the measurement of the z component of the electron’s velocity is 0.250 m/s .

Answer 9

(b)

To determine

The minimum uncertainty in a simultaneous measurement of the z component of the electron’s position if uncertainty in the measurement of the z component of the electron’s velocity is 0.250 m/s .

Answer 10

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Answer 11

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Answer 12

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Answer 13

Ch. 39.2 - Prob. 39.2TYU Ch. 39.3 - Prob. 39.3TYU Ch. 39.4 - Prob. 39.4TYU Ch. 39.5 - Prob. 39.5TYU Ch. 39.6 - Prob. 39.6TYU Ch. 39 - Prob. 39.1DQ Ch. 39 - Prob. 39.2DQ Ch. 39 - Prob. 39.3DQ Ch. 39 - When an electron beam goes through a very small...Ch. 39 - Prob. 39.5DQ

The minimum uncertainty in a simultaneous measurement of the y component of the proton’s velocity if uncertainty in the measurement of the y component of the proton’s position is 2.0 × 10 − 12 m .

Solution Summary: The author calculates the minimum uncertainty in a simultaneous measurement of the y component of proton’s velocity based on the Heisenberg uncertainty principle.

Concept explainers

The minimum uncertainty in a simultaneous measurement of the y component of the proton’s velocity if uncertainty in the measurement of the y component of the proton’s position is 2.0×10−12 m .

The minimum uncertainty in a simultaneous measurement of the z component of the electron’s position if uncertainty in the measurement of the z component of the electron’s velocity is 0.250 m/s .

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Chapter 39 Solutions