Consider two nuclei of the same radioactive nuclide. One of the nuclei was created in a supernova explosion 5 billion years ago. The other was created in a nuclear reactor 5 minutes ago. The probability of decay during the next time is
A. Different for each nuclei
B. Nuclei created in explosion decays first
C. Nuclei created in the reactor decays first
D. Independent of the time of creation
Answer
57k+ views
Hint: A process by which unstable nuclei lose energy in form of radiation is called Radioactive decay and this process is spontaneous.
Complete step by step solution:
Two nuclei of the same nuclide are created; one is created in a supernova explosion 5 billion years ago and the other in a nuclear reactor 5 minutes ago. We have to find their probability of decay next time.
Radioactive decay is a spontaneous process which does not depend on external factors such as temperature and pressure, it is possible only for unstable nuclei i.e. nuclei having unequal numbers of neutrons and protons.
The rate of disintegration for a radioactive sample is directly proportional to the number of atoms in the sample at a particular instant of time. It is impossible to predict the decay of a particular atom of a radioactive sample during a given time and it is independent of the time of creation.
Therefore, option D is the correct option.
Note: According to the Radioactive decay formula derived from the law of disintegration number of atoms present in the radioactive sample is directly proportional to the initial number of atoms in the sample and t in the formula \[N = {N_0}{e^{ - \lambda t}}\] represents the time at which rate of decay is to be calculated not the time of creation.
Complete step by step solution:
Two nuclei of the same nuclide are created; one is created in a supernova explosion 5 billion years ago and the other in a nuclear reactor 5 minutes ago. We have to find their probability of decay next time.
Radioactive decay is a spontaneous process which does not depend on external factors such as temperature and pressure, it is possible only for unstable nuclei i.e. nuclei having unequal numbers of neutrons and protons.
The rate of disintegration for a radioactive sample is directly proportional to the number of atoms in the sample at a particular instant of time. It is impossible to predict the decay of a particular atom of a radioactive sample during a given time and it is independent of the time of creation.
Therefore, option D is the correct option.
Note: According to the Radioactive decay formula derived from the law of disintegration number of atoms present in the radioactive sample is directly proportional to the initial number of atoms in the sample and t in the formula \[N = {N_0}{e^{ - \lambda t}}\] represents the time at which rate of decay is to be calculated not the time of creation.
Last updated date: 04th Jun 2023
•
Total views: 57k
•
Views today: 1.13k
Recently Updated Pages
Calculate the entropy change involved in the conversion class 11 chemistry JEE_Main

The law formulated by Dr Nernst is A First law of thermodynamics class 11 chemistry JEE_Main

For the reaction at rm0rm0rmC and normal pressure A class 11 chemistry JEE_Main

An engine operating between rm15rm0rm0rmCand rm2rm5rm0rmC class 11 chemistry JEE_Main

For the reaction rm2Clg to rmCrmlrm2rmg the signs of class 11 chemistry JEE_Main

The enthalpy change for the transition of liquid water class 11 chemistry JEE_Main

Trending doubts
Ray optics is valid when characteristic dimensions class 12 physics CBSE

A ball impinges directly on a similar ball at rest class 11 physics CBSE

What is the Full Form of PVC, PET, HDPE, LDPE, PP and PS ?

Alfred Wallace worked in A Galapagos Island B Australian class 12 biology CBSE

Imagine an atom made up of a proton and a hypothetical class 12 chemistry CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

How do you define least count for Vernier Calipers class 12 physics CBSE

Why is the cell called the structural and functional class 12 biology CBSE

Two balls are dropped from different heights at different class 11 physics CBSE
