Physics · 2023
JEE Main · 11 April 2023, Shift 1 · Q33
Two radioactive elements A and B initially have same number of atoms. The half life of A is same as the average life of B. If λ_A and λ_B are decay…
Two radioactive elements A and B initially have same number of atoms. The half life of A is same as the average life of B. If $\displaystyle \lambda_A$ and $\displaystyle \lambda_B$ are decay constants of A and $\displaystyle B$ respectively, then choose the correct relation from the given options.
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle \lambda_A=\lambda_B \ln 2$
More from Atoms and Nuclei
- Energy released when two deuterons (_1 H^2) fuse to form a helium nucleus (_2 He^4) is: (Given: Binding energy per nucleon of _1 H^2=1.1 MeV and…2025
- Assuming the validity of Bohr's atomic model for hydrogen like ions the radius of Li^++ ion in its ground state is given by 1/X a_0, where X= ____.…2025
- In the hydrogen atom, the electron makes a transition from the higher orbit (i) to a lower orbit (f). The ratio of the radius of the orbits in given…2026
- In a nuclear fission reaction of an isotope of mass M, three similar daughter nuclei of same mass are formed. The speed of a daughter nuclei in terms…2024
- Experimentally it is found that 12.8 eV energy is required to separate a hydrogen atom into a proton and an electron. So the orbital radius of the…2023
- The radius of 2^nd orbit of He^+ of Bohr's model is r_1 and that of fourth orbit of Be^3+ is represented as r_2. Now the ratio r_2/r_1 is x: 1. The…2023
- Hydrogen atom is bombarded with electrons accelerated through a potential difference of V, which causes excitation of hydrogen atoms. If the…2024
- An atom _3^8 X is bombarded by shower of fundamental particles and in 10 s this atom absorbed 10 electrons, 10 protons and 9 neutrons. The percentage…2026
JEE Main 2023 Physics question, with the answer from NTA’s final answer key. Where our answers come from.