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Question

Question: The count rate of activity of a radioactive sample of a very large population decreased from 1024 to...

The count rate of activity of a radioactive sample of a very large population decreased from 1024 to 128 in 3 minutes. Then the rate of disintegration at the end of 5 minutes is-

A

96

B

64

C

48

D

32

Answer

32

Explanation

Solution

Ž T = 1 min

A¢ = A0 (12)51\left( \frac { 1 } { 2 } \right) ^ { \frac { 5 } { 1 } } = A032=102432=32\frac { \mathrm { A } _ { 0 } } { 32 } = \frac { 1024 } { 32 } = 32