Atoms And Nuclei Question 395

Question: The half-life of a radioactive element A is the same as the mean-life of another radioactive element B. Initially both substances have the same number of atoms, then:

Options:

A) A and B decay at the same rate always.

B) A and B decay at the same rate initially

C) A will decay at a faster rate than B.

D) B will decay at a faster rate than A.

Show Answer

Answer:

Correct Answer: D

Solution:

  • (T1/2)A=(tmean)B
    0.693λA=1λBλA=0.693λB or λA<λB Also rate of decay =λN Initially number of atoms (N) of both are equal but since λB>λA, therefore B will decay at a faster rate than A


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