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Answer:
B. A beta particle
Step-by-step explanation:
Your nuclear equation is
[tex]_{6}^{14}\text{C} \longrightarrow _{7}^{14}\text{N} + _{x}^{y}\text{X}[/tex]
The main point to remember in balancing nuclear equations is that the sums of the superscripts and the subscripts must be the same on each side of the equation.
Then
6 = 7 + x, so x = 6 – 7 = -1
14 = 14 + y, so y = 14 - 14 = 0
The particle with a charge of -1 and a negligible mass is an electron (e).
The nuclear equation becomes
[tex]_{6}^{14}\text{C} \longrightarrow _{7}^{14}\text{N} + _{-1}^{0}\text{e}[/tex]
An electron is a beta particle, so we could also write the equation as
[tex]_{6}^{14}\text{C} \longrightarrow _{7}^{14}\text{N} + \beta[/tex]