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The Gellmann-Nishijima formula relates the quantum numbers of hadrons (particles composed of quarks) to their charge, baryon number, and strangeness. Which of the following statements about the Gellmann-Nishijima formula is true?
  • a)
    The formula can be used to calculate the mass of a hadron from its quantum numbers.
  • b)
    The formula predicts that all hadrons have integer spin.
  • c)
    The formula relates the electric charge of a hadron to its baryon number and strangeness.
  • d)
    The formula is derived from the conservation of isospin in strong interactions.
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The Gellmann-Nishijima formula relates the quantum numbers of hadrons ...
Explanation:
The Gellmann-Nishijima formula, also known as the "Eightfold Way," is a relation between the charge, baryon number, and strangeness of hadrons,
which are particles composed of quarks.
The formula is given by:
Q = (I3 + 1/2 Y)
Where Q is the charge of the hadron, I3 is the third component of its isospin, Y is its hypercharge.
Option (A) is incorrect because the Gellmann-Nishijima formula does not relate to the mass of a hadron, only its quantum numbers.
Option (B) is incorrect because the Gellmann-Nishijima formula does not make any predictions about the spin of a hadron.
Option (C) is partially correct in that the Gellmann-Nishijima formula does relate the electric charge of a hadron to its baryon number and strangeness,
but it does so through the additional quantity of hypercharge.
Option (D) is incorrect because the Gellmann-Nishijima formula is derived from the conservation of electric charge, not isospin.
Therefore, the correct option is option (C).
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Community Answer
The Gellmann-Nishijima formula relates the quantum numbers of hadrons ...
The Gellmann-Nishijima formula, also known as the Gell-Mann Nishijima relation or the Eightfold Way, is a fundamental formula in particle physics that relates the quantum numbers of hadrons to their charge, baryon number, and strangeness. The correct statement about the Gellmann-Nishijima formula is option 'C', which states that the formula relates the electric charge of a hadron to its baryon number and strangeness.

Explanation:
- The Gellmann-Nishijima formula was developed in the 1950s by Murray Gell-Mann and Kazuhiko Nishijima as part of their work on classifying and understanding the properties of elementary particles.
- The formula is based on the concept of "quark flavors" or "quark generations," which are the different types of quarks that can exist within a hadron. The up, down, and strange quarks are the three flavors considered in the original formulation of the formula.
- The Gellmann-Nishijima formula states that the electric charge of a hadron is equal to three times its baryon number plus its strangeness. Mathematically, it can be expressed as Q = I3 + (1/2)Y, where Q is the electric charge, I3 is the third component of isospin, and Y is the hypercharge.
- The baryon number represents the number of quarks minus the number of antiquarks in a hadron, while the strangeness represents the difference between the number of strange quarks and the number of strange antiquarks.
- By using the Gellmann-Nishijima formula, one can determine the electric charge of a hadron if its baryon number and strangeness are known, or vice versa.
- It is important to note that the Gellmann-Nishijima formula does not provide information about the mass of a hadron. The mass of a hadron is influenced by various factors, including the masses of its constituent quarks, their binding energy, and the effects of the strong interaction.
- The conservation of isospin, mentioned in option 'D', is another important principle in particle physics, but it is not directly related to the derivation of the Gellmann-Nishijima formula.

In summary, the Gellmann-Nishijima formula is a fundamental relation that connects the electric charge, baryon number, and strangeness of hadrons. It provides a way to determine one of these properties if the other two are known, but it does not provide information about the mass of a hadron.
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The Gellmann-Nishijima formula relates the quantum numbers of hadrons (particles composed of quarks) to their charge, baryon number, and strangeness. Which of the following statements about the Gellmann-Nishijima formula is true?a)The formula can be used to calculate the mass of a hadron from its quantum numbers.b)The formula predicts that all hadrons have integer spin.c)The formula relates the electric charge of a hadron to its baryon number and strangeness.d)The formula is derived from the conservation of isospin in strong interactions.Correct answer is option 'C'. Can you explain this answer?
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The Gellmann-Nishijima formula relates the quantum numbers of hadrons (particles composed of quarks) to their charge, baryon number, and strangeness. Which of the following statements about the Gellmann-Nishijima formula is true?a)The formula can be used to calculate the mass of a hadron from its quantum numbers.b)The formula predicts that all hadrons have integer spin.c)The formula relates the electric charge of a hadron to its baryon number and strangeness.d)The formula is derived from the conservation of isospin in strong interactions.Correct answer is option 'C'. Can you explain this answer? for UGC NET 2024 is part of UGC NET preparation. The Question and answers have been prepared according to the UGC NET exam syllabus. Information about The Gellmann-Nishijima formula relates the quantum numbers of hadrons (particles composed of quarks) to their charge, baryon number, and strangeness. Which of the following statements about the Gellmann-Nishijima formula is true?a)The formula can be used to calculate the mass of a hadron from its quantum numbers.b)The formula predicts that all hadrons have integer spin.c)The formula relates the electric charge of a hadron to its baryon number and strangeness.d)The formula is derived from the conservation of isospin in strong interactions.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UGC NET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Gellmann-Nishijima formula relates the quantum numbers of hadrons (particles composed of quarks) to their charge, baryon number, and strangeness. Which of the following statements about the Gellmann-Nishijima formula is true?a)The formula can be used to calculate the mass of a hadron from its quantum numbers.b)The formula predicts that all hadrons have integer spin.c)The formula relates the electric charge of a hadron to its baryon number and strangeness.d)The formula is derived from the conservation of isospin in strong interactions.Correct answer is option 'C'. Can you explain this answer?.
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