Nuclei

A stable nuclei C is formed from two radioactive nuclei A and B with decay constant of lambda_1 and lambda_2 respectively. Initially, the number of nuclei of A is N_0 and that of B is zero. Nuclei B are produced at a constant rate of P. Find the number of the nuclei of C after time t.

Assertion: Energy is released when heavy nuclei undergo fission or light nuclei undergo fusion. Reason: For heavy nuclei, binding energy per nucleon increases with increasing Z while for light nuclei it decreases with increasing Z.

If 'f' denotes the ratio of the number of nuclei decayed (N_(d)) to the number of nuclei at t = 0 (N_(0)) then for a collection of radioactive nuclei, the rate of change of 'f' with respect to time is given as : [ lambda is the radioactive decay constant]

A large population of radioactive nucleus starts disintegrating at t=0 .At time t, if N= number of parent nuclei present, D= the number of daughter nuclei present and R= rate at which the daughter nuclei are produced , then the correct representation will be:

Two redioactive nuclei A and B have disintegration constants lamda_(A)andlamda_(B) and initially N_(A)andN_(B) number of nuclei of them are taken, then the time after which their undisintegrated nuclei are same is

Radioactive nuclei are being generated at a constant rate by some kind of nuclear reaction. If the decay constant for the radioactive nuclei is lambda , which of the following graphical representation is correct ? (initially, there are no radioactive nuclei present )

Some nuclei of a radioactive material are undergoing radioactive decay. The time gap between the instances when a quarter of the nuclei have decayed and when half of the nuclei have decayed is given as : (where lamda is the decay constant)

Half lives of two radioactive nuclei A and B are 10 minutes and 20 minutes, respectively. If, initially a sample has equal number of nuclei, then after 60 minutes, the ratio of decayed numbers of nuclei A and B will be: