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Concepts Of Physics MCQ Edition [Volume 2]

Exam: Concepts Of Physics MCQ Edition [Volume 2]
Subject: Physics
Chapter: The Nucleus

Concepts Of Physics MCQ Edition [Volume 2] · Physics · The Nucleus

Determine the missing products to complete the given decay scheme:...

Determine the missing products to complete the given decay scheme:
^{25}_{13}\text{Al} \to ^{25}_{12}\text{Mg} + \,?

Options

A $e^{+} + \bar{\nu}$
B $e^{+} + \nu$
C $e^{-} + \nu$
D $e^{-} + \bar{\nu}$

Correct answer

B. $e^{+} + \nu$

Step-by-step solution

The given nuclear reaction is ^{25}_{13}\text{Al} \to ^{25}_{12}\text{Mg} + \,?

<br><br>In this decay, the mass number

A

remains constant at

25

, while the atomic number

Z

decreases from

13

to

12

.<br><br>This indicates that a proton is converted into a neutron, which is characteristic of

\beta^{+}

decay (positron emission).<br><br>The fundamental process for

\beta^{+}

decay is

p \to n + e^{+} + \nu

, where

e^{+}

is a positron and

\nu

is an electron neutrino.<br><br>The complete decay equation is ^{25}_{13}\text{Al} \to ^{25}_{12}\text{Mg} + e^{+} + \nu

.

The missing products are

e^{+}

and

\nu

.

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