Nuclear Physics And Radioactivity Question 278

Question: A sample contains 16 gm of a radioactive material, the half life of which is two days. After 32 days, the amount of radioactive material left in the sample is [NCERT 1984; MNR 1995; MP PMT 1995]

Options:

A) Less than 1 mg

B) $ \frac{1}{4}gm $

C) $ \frac{1}{2}gm $

D) 1 gm

Show Answer

Answer:

Correct Answer: A

Solution:

Remaining amount $ =16\times {{( \frac{1}{2} )}^{32/2}}=16\times {{( \frac{1}{2} )}^{16}}={{( \frac{1}{2} )}^{12}}<1\ mg $