Nuclear Physics And Radioactivity Question 385

Question: The half-life of a radioactive substance is 40 years. How long will it take to reduce to one fourth of its original amount and what is the value of decay constant [DPMT 2003]

Options:

A) 40 year, 0.9173/year

B) 90 year, 9.017/year

C) 80 year, 0.0173 year

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

To reduce one fourth it takes time $ t=2( {T_{1/2}} ) $ = 2 ยด 40 = 80 years. Decay constant $ \lambda =\frac{0.693}{{T_{1/2}}}=\frac{0.693}{40}=0.0173,years $



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