Physics-
General
Easy

Question

Statement 1: Half-life of a certain radioactive element is 100 days. After 200 days, fraction left undecayed will be 50%

Statement 2: straight N over straight N subscript 0 equals open parentheses 1 half close parentheses to the power of straight n , where symbols have usual meaning.

  1. Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1

  2. Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1

  3. Statement 1 is True, Statement 2 is False

  4. Statement 1 is False, Statement 2 is True

The correct answer is:

Statement 1 is False, Statement 2 is True


    Number of  half-lives

    straight n equals straight t over straight T equals 200 over 100 equals 2

    The fraction left undecayed is given

    therefore straight N over straight N subscript 0 equals open parentheses 1 half close parentheses to the power of straight n equals open parentheses 1 half close parentheses squared equals 1 fourth equals 1 fourth cross times 100 straight percent sign equals 25 straight percent sign

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