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Half-life period of a radioactive element X is same as the mean-life time of another radioactive element Y. If initially both have same number of atoms, then
- a)X decay faster than Y
- b)Y decay faster than X
- c)X and Y decay at same rate
- d)Initial decay rate of X and Y are same
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Half-life period of a radioactive element X is same as the mean-life t...
T1/2=0.693/wavelength
tavg=1/wavelength
if both equal then
0.693/wavelength of x=1/wavelength of y
so since activity directly proportional to wavelength y has more activity
more activity implies earlier it decays sp y decays faster
tavg=1/wavelength
if both equal then
0.693/wavelength of x=1/wavelength of y
so since activity directly proportional to wavelength y has more activity
more activity implies earlier it decays sp y decays faster
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Half-life period of a radioactive element X is same as the mean-life t...
Introduction:
In radioactive decay, the half-life period refers to the time it takes for half of the radioactive substance to decay. On the other hand, the mean-life time represents the average time it takes for one radioactive atom to decay. In this scenario, we are given that the half-life period of element X is the same as the mean-life time of element Y. We need to determine which element decays faster.
Understanding the concept:
To understand which element decays faster, we need to compare their decay rates. The decay rate can be defined as the number of atoms that decay per unit of time. A higher decay rate indicates a faster decay process.
Explanation:
Let's assume that both element X and element Y initially have the same number of atoms. Now, let's compare their decay rates.
Decay rate of element X:
Since the half-life period of element X is the same as the mean-life time of element Y, we can conclude that the decay rate of element X is equal to 1 atom per half-life period.
Decay rate of element Y:
The mean-life time of element Y represents the average time it takes for one radioactive atom to decay. Therefore, the decay rate of element Y is equal to 1 atom per mean-life time.
Comparison:
Since the half-life period of element X is the same as the mean-life time of element Y, their decay rates can be compared directly:
Decay rate of X = 1 atom per half-life period
Decay rate of Y = 1 atom per mean-life time
Since the half-life period is generally shorter than the mean-life time, we can conclude that the decay rate of element X is faster than the decay rate of element Y. Therefore, option (a) is incorrect.
Correct option:
The correct option is (b) - Y decays faster than X.
Justification:
Since the decay rate of element X is faster than the decay rate of element Y, element X will decay at a faster rate. Therefore, option (b) is the correct answer.
Summary:
In summary, when the half-life period of element X is the same as the mean-life time of element Y, element X decays faster than element Y. This is because the decay rate of element X is greater than the decay rate of element Y.
In radioactive decay, the half-life period refers to the time it takes for half of the radioactive substance to decay. On the other hand, the mean-life time represents the average time it takes for one radioactive atom to decay. In this scenario, we are given that the half-life period of element X is the same as the mean-life time of element Y. We need to determine which element decays faster.
Understanding the concept:
To understand which element decays faster, we need to compare their decay rates. The decay rate can be defined as the number of atoms that decay per unit of time. A higher decay rate indicates a faster decay process.
Explanation:
Let's assume that both element X and element Y initially have the same number of atoms. Now, let's compare their decay rates.
Decay rate of element X:
Since the half-life period of element X is the same as the mean-life time of element Y, we can conclude that the decay rate of element X is equal to 1 atom per half-life period.
Decay rate of element Y:
The mean-life time of element Y represents the average time it takes for one radioactive atom to decay. Therefore, the decay rate of element Y is equal to 1 atom per mean-life time.
Comparison:
Since the half-life period of element X is the same as the mean-life time of element Y, their decay rates can be compared directly:
Decay rate of X = 1 atom per half-life period
Decay rate of Y = 1 atom per mean-life time
Since the half-life period is generally shorter than the mean-life time, we can conclude that the decay rate of element X is faster than the decay rate of element Y. Therefore, option (a) is incorrect.
Correct option:
The correct option is (b) - Y decays faster than X.
Justification:
Since the decay rate of element X is faster than the decay rate of element Y, element X will decay at a faster rate. Therefore, option (b) is the correct answer.
Summary:
In summary, when the half-life period of element X is the same as the mean-life time of element Y, element X decays faster than element Y. This is because the decay rate of element X is greater than the decay rate of element Y.
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Half-life period of a radioactive element X is same as the mean-life time of another radioactive element Y. If initially both have same number of atoms, thena)X decay faster than Yb)Y decay faster than Xc)X and Y decay at same rated)Initial decay rate of X and Y are sameCorrect answer is option 'B'. Can you explain this answer?
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Half-life period of a radioactive element X is same as the mean-life time of another radioactive element Y. If initially both have same number of atoms, thena)X decay faster than Yb)Y decay faster than Xc)X and Y decay at same rated)Initial decay rate of X and Y are sameCorrect answer is option 'B'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Half-life period of a radioactive element X is same as the mean-life time of another radioactive element Y. If initially both have same number of atoms, thena)X decay faster than Yb)Y decay faster than Xc)X and Y decay at same rated)Initial decay rate of X and Y are sameCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Half-life period of a radioactive element X is same as the mean-life time of another radioactive element Y. If initially both have same number of atoms, thena)X decay faster than Yb)Y decay faster than Xc)X and Y decay at same rated)Initial decay rate of X and Y are sameCorrect answer is option 'B'. Can you explain this answer?.
Half-life period of a radioactive element X is same as the mean-life time of another radioactive element Y. If initially both have same number of atoms, thena)X decay faster than Yb)Y decay faster than Xc)X and Y decay at same rated)Initial decay rate of X and Y are sameCorrect answer is option 'B'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Half-life period of a radioactive element X is same as the mean-life time of another radioactive element Y. If initially both have same number of atoms, thena)X decay faster than Yb)Y decay faster than Xc)X and Y decay at same rated)Initial decay rate of X and Y are sameCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Half-life period of a radioactive element X is same as the mean-life time of another radioactive element Y. If initially both have same number of atoms, thena)X decay faster than Yb)Y decay faster than Xc)X and Y decay at same rated)Initial decay rate of X and Y are sameCorrect answer is option 'B'. Can you explain this answer?.
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Half-life period of a radioactive element X is same as the mean-life time of another radioactive element Y. If initially both have same number of atoms, thena)X decay faster than Yb)Y decay faster than Xc)X and Y decay at same rated)Initial decay rate of X and Y are sameCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Half-life period of a radioactive element X is same as the mean-life time of another radioactive element Y. If initially both have same number of atoms, thena)X decay faster than Yb)Y decay faster than Xc)X and Y decay at same rated)Initial decay rate of X and Y are sameCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Half-life period of a radioactive element X is same as the mean-life time of another radioactive element Y. If initially both have same number of atoms, thena)X decay faster than Yb)Y decay faster than Xc)X and Y decay at same rated)Initial decay rate of X and Y are sameCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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