Haryana PMT Haryana PMT Solved Paper-2000

  • question_answer
    What is the half-life of a radioactive substance is 87.5% of a given amount of the substance disintegrates in 40 minutes?

    A)  \[10\text{ }min\]            

    B)  \[13.58\text{ }min\]

    C)  \[20\text{ }min\]         

    D)  \[160\text{ }min\]

    Correct Answer: B

    Solution :

    Sol.         \[K=\frac{2.303}{t}\log \frac{a}{(a-x)}\] \[K=\frac{2.303}{t}\log \frac{a}{(a-x)}\] \[=\frac{2.303}{40}\log 8\] \[=0.051{{\min }^{-1}}\] Now,  \[{{t}_{1/2}}=\frac{0.693}{0.051}=13.58\]minute


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