High School

A beaker contains a pure sample of a radioactive substance with a half-life of 2.00 hours.

Which statement about this substance is correct? (There may be more than one correct choice.)

A. After 2.00 hours, half of the atoms will have decayed, and the remainder will decay in the next 2.00 hours.

B. After 2.00 hours, half of the atoms will have decayed, and half of the remainder will decay in the next 2.00 hours.

C. After 2.00 hours, the mass in the beaker will be only half its original value.

Answer :

The correct statement about the baker with radioactive substance are b and c. B. after 2.00 h , half of the atoms will have decayed, and half of the remainder will decay in the next 2.00 h. C. after 2.00 h , the mass in the beaker will be only half its original value.

How do we identify the correct statement about the baker with radioactive substance?

b. "after 2.00 h, half of the atoms will have decayed, and half of the remainder will decay in the next 2.00 h."

This statement is correct. After the first half-life (2.00 h), half of the original atoms will have decayed. In the next half-life (another 2.00 h), half of the remaining atoms will decay, which is a quarter of the original amount.

c. "after 2.00 h, the mass in the beaker will be only half its original value."

This statement is correct. After one half-life, only half of the radioactive atoms remain undecayed, meaning the mass of the radioactive substance will also be reduced to half its original value.

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