Class 12 Exam > Class 12 Questions > The half life of a radioactive isotope &lsquo...
Start Learning for Free
The half life of a radioactive isotope ‘X’ is20 years. It decays to another element ‘Y’ whichis stable. The two elements ‘X’ and ‘Y’ were foundto be in the ratio of 1 : 7 in a sample of a thegiven rock. The age of the rock is estimated tobe [NEET 2013]
- a)60 years
- b)80 years
- c)100 years
- d)40 years
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The half life of a radioactive isotope ‘X’ is20 years. It ...
The half life of a radioactive isotope is the amount of time it takes for half of the original amount of the isotope to decay. This decay occurs through the emission of radiation, such as alpha or beta particles, or gamma rays. The half life is a characteristic property of each radioactive isotope and can range from fractions of a second to billions of years. Knowing the half life of a radioactive isotope is important in many fields, including medicine, geology, and nuclear power.
Free Test
FREE
| Start Free Test |
Community Answer
The half life of a radioactive isotope ‘X’ is20 years. It ...
X decays after a half life to form a stable element Y ..(T is in yrs). Thus the reaction after T=20 is X = X/2+Y...(1)..so we can say ...Y= X/2....
Similarly after T= 40 ..X left is X/4 and Y formed = Y+Y/2( Y was earlier formed due to reaction 1)
So after n half lives X left is X/(2^n) = p(say) and total Y formed is Y + Y/2 + Y/4+...Y/(2^n) which is equivalent to 2Y(1-(1/2^n))= q( say) (the geometric series formula) so take p:q = 1:7 ....p/p+q = 1/8 and put Y = X/2...u will get n=3 which is 60 years
Similarly after T= 40 ..X left is X/4 and Y formed = Y+Y/2( Y was earlier formed due to reaction 1)
So after n half lives X left is X/(2^n) = p(say) and total Y formed is Y + Y/2 + Y/4+...Y/(2^n) which is equivalent to 2Y(1-(1/2^n))= q( say) (the geometric series formula) so take p:q = 1:7 ....p/p+q = 1/8 and put Y = X/2...u will get n=3 which is 60 years
|
Explore Courses for Class 12 exam
|
|
The half life of a radioactive isotope ‘X’ is20 years. It decays to another element ‘Y’ whichis stable. The two elements ‘X’ and ‘Y’ were foundto be in the ratio of 1 : 7 in a sample of a thegiven rock. The age of the rock is estimated tobe [NEET 2013]a)60 yearsb)80 yearsc)100 yearsd)40 yearsCorrect answer is option 'A'. Can you explain this answer?
Question Description
The half life of a radioactive isotope ‘X’ is20 years. It decays to another element ‘Y’ whichis stable. The two elements ‘X’ and ‘Y’ were foundto be in the ratio of 1 : 7 in a sample of a thegiven rock. The age of the rock is estimated tobe [NEET 2013]a)60 yearsb)80 yearsc)100 yearsd)40 yearsCorrect answer is option 'A'. 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 The half life of a radioactive isotope ‘X’ is20 years. It decays to another element ‘Y’ whichis stable. The two elements ‘X’ and ‘Y’ were foundto be in the ratio of 1 : 7 in a sample of a thegiven rock. The age of the rock is estimated tobe [NEET 2013]a)60 yearsb)80 yearsc)100 yearsd)40 yearsCorrect answer is option 'A'. 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 The half life of a radioactive isotope ‘X’ is20 years. It decays to another element ‘Y’ whichis stable. The two elements ‘X’ and ‘Y’ were foundto be in the ratio of 1 : 7 in a sample of a thegiven rock. The age of the rock is estimated tobe [NEET 2013]a)60 yearsb)80 yearsc)100 yearsd)40 yearsCorrect answer is option 'A'. Can you explain this answer?.
The half life of a radioactive isotope ‘X’ is20 years. It decays to another element ‘Y’ whichis stable. The two elements ‘X’ and ‘Y’ were foundto be in the ratio of 1 : 7 in a sample of a thegiven rock. The age of the rock is estimated tobe [NEET 2013]a)60 yearsb)80 yearsc)100 yearsd)40 yearsCorrect answer is option 'A'. 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 The half life of a radioactive isotope ‘X’ is20 years. It decays to another element ‘Y’ whichis stable. The two elements ‘X’ and ‘Y’ were foundto be in the ratio of 1 : 7 in a sample of a thegiven rock. The age of the rock is estimated tobe [NEET 2013]a)60 yearsb)80 yearsc)100 yearsd)40 yearsCorrect answer is option 'A'. 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 The half life of a radioactive isotope ‘X’ is20 years. It decays to another element ‘Y’ whichis stable. The two elements ‘X’ and ‘Y’ were foundto be in the ratio of 1 : 7 in a sample of a thegiven rock. The age of the rock is estimated tobe [NEET 2013]a)60 yearsb)80 yearsc)100 yearsd)40 yearsCorrect answer is option 'A'. Can you explain this answer?.
Solutions for The half life of a radioactive isotope ‘X’ is20 years. It decays to another element ‘Y’ whichis stable. The two elements ‘X’ and ‘Y’ were foundto be in the ratio of 1 : 7 in a sample of a thegiven rock. The age of the rock is estimated tobe [NEET 2013]a)60 yearsb)80 yearsc)100 yearsd)40 yearsCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12.
Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
Here you can find the meaning of The half life of a radioactive isotope ‘X’ is20 years. It decays to another element ‘Y’ whichis stable. The two elements ‘X’ and ‘Y’ were foundto be in the ratio of 1 : 7 in a sample of a thegiven rock. The age of the rock is estimated tobe [NEET 2013]a)60 yearsb)80 yearsc)100 yearsd)40 yearsCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The half life of a radioactive isotope ‘X’ is20 years. It decays to another element ‘Y’ whichis stable. The two elements ‘X’ and ‘Y’ were foundto be in the ratio of 1 : 7 in a sample of a thegiven rock. The age of the rock is estimated tobe [NEET 2013]a)60 yearsb)80 yearsc)100 yearsd)40 yearsCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for The half life of a radioactive isotope ‘X’ is20 years. It decays to another element ‘Y’ whichis stable. The two elements ‘X’ and ‘Y’ were foundto be in the ratio of 1 : 7 in a sample of a thegiven rock. The age of the rock is estimated tobe [NEET 2013]a)60 yearsb)80 yearsc)100 yearsd)40 yearsCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of The half life of a radioactive isotope ‘X’ is20 years. It decays to another element ‘Y’ whichis stable. The two elements ‘X’ and ‘Y’ were foundto be in the ratio of 1 : 7 in a sample of a thegiven rock. The age of the rock is estimated tobe [NEET 2013]a)60 yearsb)80 yearsc)100 yearsd)40 yearsCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The half life of a radioactive isotope ‘X’ is20 years. It decays to another element ‘Y’ whichis stable. The two elements ‘X’ and ‘Y’ were foundto be in the ratio of 1 : 7 in a sample of a thegiven rock. The age of the rock is estimated tobe [NEET 2013]a)60 yearsb)80 yearsc)100 yearsd)40 yearsCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 12 tests.
|
|
Explore Courses for Class 12 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup