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A sample of radioactive material has a mass m, decay constant λ and molecular weight M. If avogadro’s constant is NA. Then initial activity of the sample is
  • a)
     λM
  • b)
     λm/M
  • c)
     NA-λτ
  • d)
     λmNA/M
Correct answer is option 'D'. Can you explain this answer?
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A sample of radioactive material has a mass m, decay constant λ...
Explanation:

Given:
- Mass of radioactive material, m
- Decay constant, λ
- Molecular weight, M
- Avogadro's constant, NA

Initial Activity Formula:
The initial activity of a radioactive sample is given by the formula:
Initial Activity = λ * m * NA / M

Explanation of the Formula:
- λ is the decay constant which represents the probability of decay per unit time.
- m is the mass of the radioactive material.
- NA is Avogadro's constant which represents the number of entities (atoms, molecules, etc.) in one mole of a substance.
- M is the molecular weight of the radioactive material.

Calculation:
Therefore, the correct answer is option D:
Initial Activity = λ * m * NA / M
This formula takes into account the decay constant, mass of the radioactive material, Avogadro's constant, and the molecular weight to calculate the initial activity of the sample.
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A sample of radioactive material has a mass m, decay constant λand molecular weight M. If avogadro’s constant is NA. Then initial activity of the sample isa)λMb)λm/Mc)NAe-λτd)λmNA/MCorrect answer is option 'D'. Can you explain this answer?
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