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NTA Abhyas NEET2020ChemistryChemical KineticsPractice

The half-life of radium is 1600 years. The time does 1g of radium take to reduce to 0.125g is

Options

  1. A4800 years
  2. B4500 years
  3. C5000 years
  4. D4750 years

Correct answer

A. 4800 years

Step-by-step solution

Nuclear reactions are I st order reaction N N 0 = 1 2 n ⇒ 0.125 1 = ( 1 2 ) n = 1 8 = 1 2 n ⇒ n = 3 n = t t 1 2 ; ∵ 3 = t 1600 t = 4800

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