The disintegration rate of a certain radioactive sample at any instant is 6000 disintegrations per minute. Five minutes later the rate becomes 2400 per minute
A
The half life of sample is ln(5)2 minutes
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B
The mean life of sample is 5ln(2.5) minutes
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C
The rate of decay after five minutes more is 960 disintegrations per minute
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D
The decay constant of the sample is ln(2.5) per minute
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Solution
The correct option is C The rate of decay after five minutes more is 960 disintegrations per minute (R1R−2)=e−λ(t1−t2) ⇒(52)=e+5λ ⇒ln(52)=5λ ⇒λ=ln(2.5)5