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Count rate of a radioactive substance is 400 per minute. After some time the count rate is 123 per minute. If half life of the element is 2 hours, then number of nuclei decayed in this interval is 

a
64, 625
b
20, 875
c
32, 120
d
47, 965

detailed solution

Correct option is D

R1=λN1 and R2=λN2∴ λN1−λN2=R1−R2⇒ln2TN1−N2=R1−R2⇒N1−N2=TR1−R2ln2=2×60×400−1230.693⇒N1−N2=47,965

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