To determine the charge of a particle composed of two down quarks and one up quark, we need to know the individual charges of the up quark and the down quark.
1. The up quark has a charge of [tex]\(+\frac{2}{3}\)[/tex].
2. The down quark has a charge of [tex]\(-\frac{1}{3}\)[/tex].
We can calculate the total charge of the particle by summing the charges of its constituent quarks.
- Calculate the contribution from the two down quarks:
[tex]\[
2 \times -\frac{1}{3} = -\frac{2}{3}
\][/tex]
- Calculate the contribution from the one up quark:
[tex]\[
+\frac{2}{3}
\][/tex]
Now, sum these contributions:
[tex]\[
-\frac{2}{3} + \frac{2}{3} = 0
\][/tex]
Thus, the charge of the particle is [tex]\(0\)[/tex].
The correct answer is:
C. 0