Home
Class 12
PHYSICS
A nucleus of UX(1) has a half-life of 24...

A nucleus of `UX_(1)` has a half-life of 24.1 days. How long a sample of `UX_(1)` will take to change 90% of it to `UX_(2)`?

Text Solution

Verified by Experts

Decay constant, `lamda=(0.6931)/T=0.6931/24.1day^(-1)`
Also, `N/N_(0)=10/100=1/10`
Now, `N/N_(0)=e^(-lamdat),1/10=e^(-lamdat),e^(-lamdat)=10`
Taking logs, we get `lamdat=log,10=2.3`
`t=23/lamda=(2.3xx24.1)/(0.6931)`days = 79.97days.
Promotional Banner

Similar Questions

Explore conceptually related problems

A nucleus X_1 has a half life of 24 days How long of sample of X_1 will take to change 80% of its to X_2 ?

A radioacitve isotope has a half-life of T years. How long will it take the activity to reduce to (a) 3.125% , (b) 1% of its original value?

A radioactive isotope has a half-life of T years. How long will it take the activity o reduce to 3.125% its original value?

The half life of radon is 3.8 days. After how long there will be only one twentieth of radon sample left over?

For a first order reaction A rarr product with initial concentration x mol L^(-1) , has a half life period of 2.5 hours. For the same reaction with initial concentration ((x)/(2))"mol L"^(-1) the half life is