Solveeit Logo

Question

Question: A radioactive sample at any instant has its disintegration rate 5000 disintegration per minute. Afte...

A radioactive sample at any instant has its disintegration rate 5000 disintegration per minute. After 5 minutes, the rate is 1250 disintegrations per minute. Then, the decay constant (per minute) is-

A

0.8 ln 2

B

0.4 ln 2

C

0.2 ln 2

D

0.1 ln 2

Answer

0.4 ln 2

Explanation

Solution

A.P = 14\frac { 1 } { 4 } = (n = 2), T1/2 = tn\frac { \mathrm { t } } { \mathrm { n } }=52\frac { 5 } { 2 }= 2.5 min

l = = = 0.4 ln2