Book edition 2nd Edition

Author(s) Randy Harris

Pages 633 pages

ISBN 9780805303087

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Short Answer

Approximately what energy would electrons need to have to be useful as probes that could reveal features as small as $10^{- 18} m$ , the approximate range of the weak force?

The energy would the electrons need to have to be useful as probes that could reveal features as small as $10^{- 18} m$ , the approximate range of the weak force is $1.2 T e V$ .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given data

The size of an object, $λ = 10^{- 18} m$ .

Step 2: Concept of Energy of electron

The energy of an electron is given as,

$E^{2} = m^{2} c^{4} + p^{2} c^{2}$

$E^{2} \approx p^{2} c^{2} E \approx \frac{h}{λ} c$

Where is the mass of an electron, $9.1 \times 10^{- 31} kg$ ,h is reduced Planck's constant, $6.63 \times 10^{- 34} J \cdot s$ , $λ$ is the size of an object to be examined and is the velocity of light, $3 \times 10^{8} m/s$ .

Step 3: Calculation of the energy for an electron

Substitute the numerical values in equation (1) as:

$\begin{array}{rcl} E & = & \frac{(6.63 \times 10^{- 34} J \cdot s) (3 \times 10^{8} m / s)}{(10^{- 18} m)} \\ E & = & 1.989 \times 10^{- 7} J \\ = & 1.2 T e V \end{array}$

The energy would the electrons need to have to be useful as probes that could reveal features as small as $10^{- 18} m$ , the approximate range of the weak force is $1.2 T e V$ .

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Short Answer

Approximately what energy would electrons need to have to be useful as probes that could reveal features as small as $10^{- 18} m$ , the approximate range of the weak force?

Step by Step Solution

Step 1: Given data

Step 2: Concept of Energy of electron

Step 3: Calculation of the energy for an electron

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Modern Physics

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Short Answer

Approximately what energy would electrons need to have to be useful as probes that could reveal features as small as 10-18 m, the approximate range of the weak force?

Step by Step Solution

Step 1: Given data

Step 2: Concept of Energy of electron

Step 3: Calculation of the energy for an electron

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Approximately what energy would electrons need to have to be useful as probes that could reveal features as small as $10^{- 18} m$ , the approximate range of the weak force?