In addition to the sample mentioned in , consider a pure sample of a different r

Question

In addition to the sample mentioned in , consider a pure sample of a different radioactive substance that has a half-life of 1 hour. Atoms of this new sample as you have of the previous sample. The table below summarizes this information: Which of the following statements about samples A and B are true? Check all that apply. After 1 hour, a larger percentage of undecayed atoms will be left in sample A than in sample B. After 1 hour, a larger number of atoms will have decayed in sample B than in sample A. After 2 hours, the same number of atoms will have decayed in both samples. After 2 hours, both samples will have the same number of undecayed atoms. If initially there are N_0 radioactive atoms in sample A and 2N_0 in sample B, after 1hour fewer than N_0/2 atoms will have decayed in sample B. How many original atoms will have decayed after 2 hours?

Explanation / Answer

first, second and fourth statement are true,

after one hour % of undecayed is more in A as it has larger half life

after one hour, B has more decayed particles as it has smaller half life and larger original number

after two hours A will have No x 0.5 = 0.5No undecayed

after two hours B will have 2No*0.5*0.5 = 0.5No undecayed. Hence fourth statement is correct but not third as original amount in both is unequal

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