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JEE Main202431 Jan 2024Evening ShiftPhysicsNuclear PhysicsActual

The mass number of nucleus having radius equal to half of the radius of nucleus with mass number 192 is:

Options

  1. A24
  2. B32
  3. C40
  4. D20

Correct answer

A. 24

Step-by-step solution

Given: R 1 = R 2 2 As we know, size of the nucleus is given by R = R 0 A 1 / 3 Therefore, we can write R 0 A 1 1 / 3 = R 0 2 A 2 1 / 3 ⇒ A 1 = 1 8 A 2 ⇒ A 1 = 192 8 = 24

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