Bohr’s Model; Matter Waves (Sections)Using Heisenberg’s

Chapter 3, Problem 47E

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QUESTION:

Problem 47E

Bohr’s Model; Matter Waves (Sections)

Using Heisenberg’s uncertainty principle, calculate the uncertainty in the position of

(a) a 1.50-mg mosquito moving at a speed of 1.40 m/s if the speed is known to within ±0.01 m/s;

(b) a proton moving at a speed of (5.00 ± 0.01) × 104 m/s. (The mass of a proton is given in the table of fundamental constants in the inside cover of the text.)

Questions & Answers

QUESTION:

Problem 47E

Bohr’s Model; Matter Waves (Sections)

Using Heisenberg’s uncertainty principle, calculate the uncertainty in the position of

(a) a 1.50-mg mosquito moving at a speed of 1.40 m/s if the speed is known to within ±0.01 m/s;

(b) a proton moving at a speed of (5.00 ± 0.01) × 104 m/s. (The mass of a proton is given in the table of fundamental constants in the inside cover of the text.)

ANSWER:

Step 1 of 3

(a)

Given:

Mass is 1.50 mg

 

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