AP EAMCET202420 May 2024Evening ShiftPhysicsNuclear PhysicsActual
One mole of radium has an activity of 1 3.7 kilo curie. Its decay constant is (Avagadro number =6 10²³ ~mol ⁻¹ )
Options
- A1 6 10⁻¹⁰ s⁻¹
- B10⁻¹⁰ s⁻¹
- C10⁻¹¹ s⁻¹
- D10⁻⁸ s⁻¹
Correct answer
A. 1 6 10⁻¹⁰ s⁻¹
Step-by-step solution
For radium, n =1 mole, A = 1 3.7 k curie n = N ~N _ A ~N = nN _ A =6 10²³ Decay constant, = A N = 1 3.7 10^3 3.7 10¹⁰ 6 10²³ = 1 6 10⁻¹⁰ ~s ⁻¹