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Using semi-empirical mass formula, the most stable isobar with mass number A = 65. corresponds to
  • a)
    Z = 27
  • b)
    Z = 28
  • c)
    Z = 29
  • d)
    Z = 30
Correct answer is option 'C'. Can you explain this answer?
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Using Semi-Empirical Mass Formula to Determine the Most Stable Isobar with Mass Number A = 65

The Semi-Empirical Mass Formula is used to determine the binding energy of a nucleus based on its mass number and atomic number. This formula takes into account five different terms that contribute to the binding energy of a nucleus. These terms are:

1. Volume term (A)
2. Surface term (A^(2/3))
3. Coulomb term (Z^2/A^(1/3))
4. Asymmetry term [(A-2Z)^2/A]
5. Pairing term (±a/A^(1/2))

To determine the most stable isobar with mass number A = 65, we can use the Semi-Empirical Mass Formula and vary the atomic number (Z) to find the maximum binding energy.

Here are the steps to follow:

1. Calculate the binding energy of the nucleus using the Semi-Empirical Mass Formula with A = 65 and different values of Z.
2. Plot the binding energy as a function of Z.
3. Identify the value of Z that corresponds to the maximum binding energy.

Using these steps, we can determine that the most stable isobar with mass number A = 65 corresponds to Z = 29.

Therefore, the correct answer is option 'C'.
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Usingsemi-empirical mass formula, the most stable isobar with mass number A = 65. corresponds toa)Z = 27b)Z = 28c)Z = 29d)Z = 30Correct answer is option 'C'. Can you explain this answer?
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