Solution for QID #3301: A container holds a pure sample of a radioactive substance w | StudyHelpMe

Subject: Physics
Status: Verified Solution
A container holds a pure sample of a radioactive substance with a half-life of 2 hours. Part A Which of the following statements are true? a) After 1 hour, less than 50\% of the original atoms in the container will have decayed. b) After 1 hour, more than 50\% of the original atoms in the container will have decayed. c) After 2 hours, 50\% of the original atoms in the container will have decayed. d) After 4 hours, 25\% of the original atoms will have decayed. e) After 4 hours, the total number of atoms in the container will be reduced by 75\%. Answer: A and C In addition to the sample mentioned in Part A, consider a pure sample of a different radioactisubstance that has a half-life of 1 hour. Assume that you initially have twice as many atoms of this new sample as you have of the previous sample. The table below summarizes this information: Sample          Half-life (hours)             Original number of atoms     A                    2                                     N_0     B                    1                                     2N_0 Part B Which of the following statements about samples A and B are true? a) After 1 hour, a larger percentage of undecayed atoms will be left in sample A than in sample B. b) After 1 hour, a larger number of atoms will have decayed in sample B than in sample A. c) After 2 hours, the same number of atoms will have decayed in both samples. d) After 2 hours, both samples will have the same number of undecayed atoms.
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