At a given instant, say t = 0, two radioactive substances A and B have equal activities. The ratio \(\frac{{{{\rm{R}}_{\rm{B}}}}}{{{{\rm{R}}_{\rm{A}}}}}\) of their activities after time t itself decays with time t as e-3t. If the half-life of A is ln2, the half-life of B is:

At a given instant, say t = 0, two radioactive substances A and B have

1.	At a given instant, say t = 0, two radioactive substances A and B have equal activities. The ratio \(\frac{{{{\rm{R}}_{\rm{B}}}}}{{{{\rm{R}}_{\rm{A}}}}}\) of their activities after time t itself decays with time t as e-3t. If the half-life of A is ln2, the half-life of B is:
A.	4ln 2
B.	\(\frac{{{\rm{ln\;}}2}}{2}\)
C.	\(\frac{{{\rm{ln\;}}2}}{4}\)
D.	2ln 2
Answer» D. 2ln 2

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At a given instant, say t = 0, two radioactive substances A and B have equal activities. The ratio \(\frac{{{{\rm{R}}_{\rm{B}}}}}{{{{\rm{R}}_{\rm{A}}}}}\) of their activities after time t itself decays with time t as e-3t. If the half-life of A is ln2, the half-life of B is:

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