Write two statements such that we can use Law of Detachment to identify the flavor of a quark with a charge of - 13 e and rest energy 540 MeV.
Flavor: Strange Reasoning: See solution.
Practice makes perfect
The following table shows how to categorize quarks by their flavors.
Rest Energy and Charge of Quarks
Rest Energy (MeV)
360
360
1500
540
173 000
5000
Electric Charge (e)
+2/3
-1/3
+2/3
-1/3
+2/3
-1/3
Flavor
Up
Down
Charmed
Strange
Top
Bottom
Let's write two statements such that we can use Law of Detachment to identify the flavor of a quark with a charge of - 13 e and rest energy 540 MeV. The Law of Detachment says that:
If the hypothesis of a conditional is true,
then the conclusion is true.
We can use symbols to state the Law of Detachment.
If p → q &is true
and p &is true,
then q &is true.
In order to use the Law of Detachment, we need a conditional statement and its hypothesis, which leads us to the flavor of the quark. Thus, the statements should be as the following.
Statement I: If a quark have a charge of - 13 e and rest energy 540 MeV, then its flavor type is strange.
Statement II: A quark have a charge of - 13 e and rest energy 540 MeV.
Thus, Statement II matches the hypothesis of Statement I. Applying the Law of Detachment, we can make a valid conclusion.
Conclusion
The quark's flavor type is strange.
