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If r is the radius of the nucleus and A is the atomic weight (mass number), then

Question and options

If r is the radius of the nucleus and A is the atomic weight (mass number), then
  1. r is proportional to A1/3A^{1/3}
  2. r is proportional to A1/2A^{1/2}
  3. r is proportional to A/3A/3
  4. r is inversely proportional to A1/3A^{1/3}

Answer and explanation

Correct answer: A - r is proportional to \(A^{1/3}\)
Nuclear radius r=r0A1/3r = r_0 A^{1/3} (r0r_0 about 1.2 fm), since nuclear volume is proportional to mass number. The radius therefore grows with the cube root of the mass number; it does not vary as its square root or fall as A rises.

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