Atoms And Nuclei Question 378

Question: One gram of a radioactive sample of half-life 10 min is sealed in a capsule at time t=0. Amount of sample decayed up to 5 min is

Options:

A) 0.293g

B) 0.5g

C) 0.25g

D) 0.707g

Show Answer

Answer:

Correct Answer: A

Solution:

  • Use the relation N=N0eλt where the decay constant

    λ=(0.693/Thalf). The half-life period

    Thalf is given to be 10min.

    The amount N of radioactive sample remaining at the end of 5 min comes out to be about 0.707g,

    so that the amount of sample decayed is (10.707)=0.293g.



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