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Two radioactive materials X1 and X2 have decay constants 5λ and λ respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of X1 to that of X2 will be 1/e after a time
  • a)
    λ
  • b)
    1/2λ
  • c)
    1/4λ
  • d)
    e/λ
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Two radioactive materials X1 and X2 have decay constants 5λ and...
To find the half-life of each material, we can use the formula:

t½ = ln(2) / λ

where t½ is the half-life, ln(2) is the natural logarithm of 2 (approximately 0.693), and λ is the decay constant.

For X1:

t½ = ln(2) / 5
t½ ≈ 0.1386 years

For X2:

t½ = ln(2) / 10
t½ ≈ 0.0693 years

Therefore, the half-life of X1 is approximately 0.1386 years and the half-life of X2 is approximately 0.0693 years.
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Two radioactive materials X1 and X2 have decay constants 5λ and...
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Two radioactive materials X1 and X2 have decay constants 5λ and λ respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of X1 to that of X2 will be 1/e after a timea)λb)1/2λc)1/4λd)e/λCorrect answer is option 'C'. Can you explain this answer?
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Two radioactive materials X1 and X2 have decay constants 5λ and λ respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of X1 to that of X2 will be 1/e after a timea)λb)1/2λc)1/4λd)e/λCorrect answer is option 'C'. 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 Two radioactive materials X1 and X2 have decay constants 5λ and λ respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of X1 to that of X2 will be 1/e after a timea)λb)1/2λc)1/4λd)e/λCorrect answer is option 'C'. 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 Two radioactive materials X1 and X2 have decay constants 5λ and λ respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of X1 to that of X2 will be 1/e after a timea)λb)1/2λc)1/4λd)e/λCorrect answer is option 'C'. Can you explain this answer?.
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