Question

The half-life of a Radioactive sample is 80 hrs. Initially, there are 6,000,0000 nuclei in the sample. How many nuclei will remain after 10 days?

A) 1,500,000
B) 2,500,000
C) 3,750,000
D) 4,500,000

Answer 1

The number of radioactive nuclei remaining after 10 days, with a half-life of 80 hours, is found to be 750,000. The provided multiple-choice answers do not match this result, indicating an error in the question's options.

Step-by-step explanation:

The question involves calculating the number of radioactive nuclei remaining after a certain period of time, given the half-life of the sample. Since the half-life of the radioactive sample is 80 hours, and 10 days have passed, we first convert days to hours: 10 days × 24 hours/day = 240 hours. Next, we determine how many half-lives have passed in this time: 240 hours ÷ 80 hours/half-life = 3 half-lives.

After each half-life, the number of radioactive nuclei is halved. Therefore, after one half-life, the number will be halved once, after two half-lives, halved twice, and so on. After 3 half-lives, the number of nuclei remaining is calculated as follows:

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Therefore, after 10 days, there will be 750,000 nuclei remaining in the sample. The correct answer to the question is none of the provided options. There appears to be a mistake in the options given.