Two radioactive elements A and B initially have the same number of atoms. The half-life of A is the same as the average life of B. If \( \lambda_A \) and \( \lambda_B \) are the decay constants of A and B respectively, then choose the correct relation from the given options:
If a radioactive element with a half-life of 30 min undergoes beta decay. The fraction of the radioactive element that remains undecayed after 90 min is:
A radioactive element \({}^{242}_{92}X\) emits two \(\alpha\)-particles, one electron, and two positrons. The product nucleus is represented by \({}^{234}_{P}Y.\) The value of \(P\) is _______.
Following statements related to radioactivity are given below:(A) Radioactivity is a random and spontaneous process and is dependent on physical and chemical conditions.(B) The number of un-decayed nuclei in the radioactive sample decays exponentially with time.(C) Slope of the graph of loge (no. of undecayed nuclei) Vs. time represents the reciprocal of mean life time (τ).(D) Product of decay constant (λ) and half-life time (T1/2) is not constant.Choose the most appropriate answer from the options given below:
