Home
Class 12
PHYSICS
Two radioacitve nuclei P and Q, in a giv...

Two radioacitve nuclei P and Q, in a given sample decay into a stable nucleus R. At time t=0, number of P species are 4 `N_(0)` and that of Q are `N_(0)`. Half-life of P (for conversion to R) is 1 min, where as that of Q is 2 min. Initially there are no nuclei of R present in the sample. When number of nuclei of P and Q are equal, then the number of nuclei of R present in the sample would be

A

`2N_(0)`

B

`3N_(0)`

C

`(9N_(0))/(2)`

D

`(5N_(0))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Two radioactive nuclei P and Q , in a given sample decay into a stable nucleus R . At time t = 0 , number of P species are 4 N_0 and that of Q are N_0 . Half-life of P (for conversation to R ) is 1mm whereas that of Q is 2 min . Initially there are no nuclei of R present in the sample. When number of nuclei of P and Q are equal, the number of nuclei of R present in the sample would be :

Half-life of a radioactive substance A and B are, respectively, 20 min and 40min . Initially, the samples of A and B have equal number of nuclei. After 80 min , the ratio of the ramaining number of A and B nuclei is

A sample which has half life of 10^(33) year . If initial number of nuclei of the sample is 26 xx 10^(24) . Then find out of the number of nuclei decayed in 1 year.

Radioactive nuclei P and Q disintegrate into R with half lives 1 month and 2 months respectively. At time t=0 , number of nuclei of each P and Q is x. Time at which rate of disintegration of P and Q are equal , number of nuclei of R is

A radioactive sample undergoes decay as per the following gragp. At time t=0 , the number of undecayed nuclei is N_(0) . Calculate the number of nuclei left after 1 h . .

A radioactive sample undergoes decay as per the following gragp. At time t=0 , the number of undecayed nuclei is N_(0) . Calculate the number of nuclei left after 1 h . .

Nuceli A and B convert into a stable nucleus C . Nucleus A is converted into C by emitting 2 alpha particels and 3 beta -particles. Nucleus B is converted into C by emitting one alpha -particle and 5 beta -particles. At time t=0 , nuclei of A are 4N_(0) and nuceli of B are N_(0) . Initially, number of nuclei of C are zero. Half-life of A (into conservation of C ) is 1 min and that of B is 2 min . Find the time (in minutes) at which rate of disintegration of A and B are equal.

There are n number of radioactive nuclei in a sample that undergoes beta decay. If from the sample, n' number of beta -particels are emitted every 2s , then half-life of nuclei is .

There are n number of radioactive nuclei in a sample that undergoes beta decay. If from the sample, n' number of beta -particels are emitted every 2s , then half-life of nuclei is .

A radioactive element A of decay constant lamda_(A) decays into another radioactive element B of decay constant lamda_(B) . Initially the number of active nuclei of A was N_(0) and B was absent in the sample. The maximum number of active nuclei of B is found at t=2. In 2//lamda_(A) . The maximum number of active nuclei of B is