Home
Class 12
PHYSICS
The activity of a radioavtive sample is ...

The activity of a radioavtive sample is measured as `N_(0)` counts per minute at `t=0and (N_(0))/(e)` counts per minute at t=5 min. The time (in minutes) at which the activity reduces to half its value is

A

`log _(e) 2//5`

B

`(5)/(log_(e)2)`

C

`5 log _(10)2`

D

`5 log _(e) 2`

Text Solution

Verified by Experts

The correct Answer is:
D
`N=N_(0)e^(-lamdat) implies (N_(0))/(e )=N_(0)e^(-lamda(5))implies lamda =(1)/(5)`
`Now (N_(0))/(2)=N_(0)e^(-lamda(t)) implies t=(1)/(lamda)ln2=5ln2`
Promotional Banner

Similar Questions

Explore conceptually related problems

The activity of a radioactive sample is measures as N_0 counts per minute at t = 0 and N_0//e counts per minute at t = 5 min . The time (in minute) at which the activity reduces to half its value is.

The activity of a radioactive sample is measures as N_0 counts per minute at t = 0 and N_0//e counts per minute at t = 5 min . The time (in minute) at which the activity reduces to half its value is.

The activity of a radioactive sample is measured as 9750 counts per minute at t = 0 and as 975 counts per minute at t = 5 minutes. The decay constant is approximately

The count rate of a radioactive sample was 1600 count/s at t=0 and 100 count/s at t=8s.Select the correct option.

A counter rate metre is used to measure the activity of a radioactive sample. At a certain instant, the count rate was recorded as 400 counters per minute. Five minutes later, the count recorded was 200 counts per min. Calculate the decay and half-period of the sample.

The activity of a radioactive sample goes down to about 6% in a time of 2 hour. The half-life of the sample in minute is about

The activity of a radioactive sample falls from 600 s^(-1) to 500 s^(-1) in 40 minutes. Calculate its half-life.

A sample of radioactive substance loses half of its activity in 4 days. The time in which its activity is reduced to 5% is

Two radioactive samples of different elements (half-lives t_1 and t_2 respectively) have same number of nuclei at t=0 . The time after which their activities are same is

The initial activity of a certain radioactive iostope was measured as 16000 counts min.^(-1) . Given that the only activity measured was due to this isotaope and that its activity after 12 h was 2100 counts min.^(-1) , its half-life, in hours, is nearest to [Given log_(e) (7.2)=2 ].