Book edition 10th Edition

Author(s) David Halliday

Pages 1328 pages

ISBN 9781118230718

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Short Answer

What is the acceleration of a silver atom as it passes through the deflecting magnet in the Stern–Gerlach experiment of Fig. 40-8 if the magnetic field gradient is 1.4 T/mm?

The acceleration of the silver atom as it passes through the deflecting magnet in the experiment is $7.2 \times 10^{4} m / s^{2}$ .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: The given data:

Gradient of the magnetic field, $\frac{dB}{dz} = 1.4 T / mm$

Step 2: Understanding the concept of force of a Stern-Gerlach Experiment:

Using the formula of force from second Newton's law in the force value of the Stern-Gerlach Experiment, we can get the required acceleration by substituting the obtained data from the experiment.

Formulas:

The force is due to Newton’s second law of motion,

F = ma

….. (1)

The force obtained due to gradient change in a magnetic field,

$F = μ_{B} = \frac{dB}{dz} ma = μ_{B} = \frac{dB}{dz}$

….. (2)

Where, the Bohr magneton, $μ_{B} = 9.27 \times 10^{- 24} J / T$

Step 3: Calculation of the value of the acceleration of the silver atom:

Using the value of force from equation (2) in equation (1), the value of the acceleration of the silver atoms as follows: (Using the data given in the Sample problem, $m = 1.8 \times 10^{- 25} kg$ )

$a = \frac{μ_{s} \frac{dB}{dz}}{m} = \frac{(9.27 \times 10^{- 24} J / T) \times 1.4 \times 10^{3} T / m}{1.8 \times 10^{- 25} kg} = 7.2 \times 10^{4} m / s^{2}$

Hence, the value of the acceleration of the silver atom is $7.2 \times 10^{4} m / s^{2}$ .

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Fundamentals Of Physics

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Short Answer

What is the acceleration of a silver atom as it passes through the deflecting magnet in the Stern–Gerlach experiment of Fig. 40-8 if the magnetic field gradient is 1.4 T/mm?

Step by Step Solution

Step 1: The given data:

Step 2: Understanding the concept of force of a Stern-Gerlach Experiment:

Step 3: Calculation of the value of the acceleration of the silver atom:

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Fundamentals Of Physics

Answers without the blur.

Short Answer

What is the acceleration of a silver atom as it passes through the deflecting magnet in the Stern–Gerlach experiment of Fig. 40-8 if the magnetic field gradient is 1.4 T/mm?

Step by Step Solution

Step 1: The given data:

Step 2: Understanding the concept of force of a Stern-Gerlach Experiment:

Step 3: Calculation of the value of the acceleration of the silver atom:

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