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One type of hadron consists of two down quarks and one up quark - Scottish Highers Physics - Question 8 - 2016

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One type of hadron consists of two down quarks and one up quark. The charge on a down quark is -$ rac{1}{3}$. The charge on an up quark is +$ rac{2}{3}$. Which row i... show full transcript

Worked Solution & Example Answer:One type of hadron consists of two down quarks and one up quark - Scottish Highers Physics - Question 8 - 2016

Step 1

Calculate the Total Charge of the Hadron

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Answer

To find the total charge of the hadron, which has two down quarks and one up quark, we calculate as follows:

Each down quark contributes - rac{1}{3}, and the up quark contributes + rac{2}{3}. Therefore, the total charge (Q) is:

Q=2×(13)+1×(+23)Q = 2 \times \left(-\frac{1}{3}\right) + 1 \times \left(+\frac{2}{3}\right)

Calculating this gives:

Q=23+23=0Q = -\frac{2}{3} + \frac{2}{3} = 0

Step 2

Determine the Type of Hadron

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Answer

This configuration of quarks (two down quarks and one up quark) corresponds to a baryon since a baryon is defined as a hadron made up of three quarks. The hadron in question fits this definition.

Step 3

Identify the Correct Row in the Table

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Answer

From the calculations, we find that the charge of the hadron is 0 and it is a baryon. This corresponds to row A in the table.

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