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Question

Question: A radioactive substance contains 10000 nuclei and its half-life period is 20 days. The number of nuc...

A radioactive substance contains 10000 nuclei and its half-life period is 20 days. The number of nuclei present at the end of 10 days is –

A

7070

B

9000

C

8000

D

7500

Answer

7070

Explanation

Solution

NN0\frac { \mathrm { N } } { \mathrm { N } _ { 0 } } = 12n\frac { 1 } { 2 ^ { n } } Ž N10000\frac { \mathrm { N } } { 10000 } = 121020\frac { 1 } { 2 ^ { \frac { 10 } { 20 } } } Ž N = 7070