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 :

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 4N_0 and that of Q are N_0 . Half-life of P (for conversion to R) is 1 min whereas that of Q is 2min. 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

We have two radioactive nuclei A and B . Both convert into a stable nucleus C . Nucleus A converts into C after emitting two two alpha -particles and three beta -particles. Nucleus B converts into C after emitting one. alpha -particle anf five beta -particles. A time t = 0 , nuclei of A are 4N_(0) and that of B are N_(0) . Half-life of A (into the conversion of C ) is 1min and that of B is 2min . Initially number of nuclei of C are zero. What are number of nuclei of C , when number of nuclei of A and B are equal ?

If N_(0) is the number of radioactive nuclei initially present , then the number of nuclei remaining undecayed at the end of nth half life is

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

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

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 .