AIIMS AIIMS Solved Paper-2007

  • question_answer

    Direction for: In each of the following questions a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements mark the correct answer as

    Assertion: Average life of a radioactive element is that period in which 63% of it is decayed. Reason: Average life \[\tau =1.44{{t}_{1/2}}\].

    A)  If both Assertion and Reason are true and Reason is the correct explanation of Assertion.

    B)  If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.

    C)  If Assertion is true but Reason is false.

    D)  If both Assertion and Reason are false.

    Correct Answer: B

    Solution :

    The correct explanation to assertion is that the quantity of radioactive substance decayed during its average life is calculated by using the expression \[\lambda =\frac{0.693}{{{t}_{1/2}}}=\frac{2.303}{1.44{{t}_{1/2}}}\,\log \frac{100}{{{N}_{t}}}\]


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