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Q.

The rate of radioactive disintegration at an instant for a radioactive same of half life 2.2 × 109 s is 1010 s–1. The number of radioactive atoms in that sample at that instant is,

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a

3.17 x 1020

b

3.17 x 1017

c

3.17 x 1018

d

3.17 x 1019

answer is D.

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Detailed Solution

dNdt=λN ; dNdt=0.693T1/2N1010=0.6932.2×109NN= 3.17×1019
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The rate of radioactive disintegration at an instant for a radioactive same of half life 2.2 × 109 s is 1010 s–1. The number of radioactive atoms in that sample at that instant is,