Book edition 10th Edition

Author(s) David Halliday

Pages 1328 pages

ISBN 9781118230718

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Short Answer

Consider the decay $Λ^{0} \to p + π^{-}$ with the $Λ^{0}$ at rest. (a) Calculate the disintegration energy. What is the kinetic energy of (b) the proton and (c) the pion?

(a) The disintegration energy is. $37.7 Mev$

(b) The kinetic energy of proton is. $5.35 Mev$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: (a) Evaluate disintegration energy.

The given reaction is written as:

$Λ^{0} \to p + π^{-}$

Solve the disintegration energy as follows:

$\begin{matrix} Q = Δ m c^{2} \\ = (m_{Λ^{0}} - m_{p} - m_{π^{-}}) c^{2} \end{matrix}$

Substitute the values from the standard data.

$\begin{matrix} Q = (1115.6 - 938.3 - 139.6) M e v \\ = 37.7 M e v \end{matrix}$

Thus, the disintegration energy is. $37.7 M e v$

Step 2: (b) Evaluate the kinetic energy of proton.

Solve the kinetic energy of proton in the given reaction as follows;

$K_{p} = \frac{{(E_{_{Λ}} - E_{p})}^{2} - E_{π}^{2}}{2 E_{Λ}}$

Substitute the values from the standard data

$\begin{matrix} K_{p} = \frac{{(1115.6 - 938.3)}^{2} - {(139.6)}^{2}}{2 (1115.6)} Mev \\ = 5.35 Mev \end{matrix}$

Thus, the kinetic energy of proton is . $5.35 M e v$

Step 3: (c) Evaluate the kinetic energy of pion.

Solve the kinetic energy of proton in the given reaction as follows;

$\begin{matrix} K_{π} = Q - K_{p} \\ = (37.7 - 5.35) Mev \\ = 32.4 Mev \end{matrix}$

Thus, the kinetic energy of pion is. $32.4 M e v$

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Fundamentals Of Physics

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Short Answer

Consider the decay $Λ^{0} \to p + π^{-}$ with the $Λ^{0}$ at rest. (a) Calculate the disintegration energy. What is the kinetic energy of (b) the proton and (c) the pion?

Step by Step Solution

Step 1: (a) Evaluate disintegration energy.

Step 2: (b) Evaluate the kinetic energy of proton.

Step 3: (c) Evaluate the kinetic energy of pion.

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Fundamentals Of Physics

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Consider the decay Λ0→p+π−with theΛ0 at rest. (a) Calculate the disintegration energy. What is the kinetic energy of (b) the proton and (c) the pion?

Step by Step Solution

Step 1: (a) Evaluate disintegration energy.

Step 2: (b) Evaluate the kinetic energy of proton.

Step 3: (c) Evaluate the kinetic energy of pion.

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Consider the decay $Λ^{0} \to p + π^{-}$ with the $Λ^{0}$ at rest. (a) Calculate the disintegration energy. What is the kinetic energy of (b) the proton and (c) the pion?