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Q.

The half-life of a radioactive substance against α-decay is 1.2 x 107 s. What is the decay rate for 4 x 1015 atoms of the substance?

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a

4.6 x 1012 atoms/s

b

2.3 x 1011 atoms/s

c

4.6 x 1010 atoms/s

d

2.3 x 108 atoms/s

answer is D.

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Detailed Solution

dNdt=λN⇒dNdt=0.693T1/2x N 0.6931.2 x 107 x 4 x 1015=2.3 x 108 atoms/sec
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The half-life of a radioactive substance against α-decay is 1.2 x 107 s. What is the decay rate for 4 x 1015 atoms of the substance?