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The decay constant of a radio active substance is 0.173 (years)-1. Therefore :
- a)Nearly 63% of the radioactive substance will decay in (1/0.173) year.
- b)half life of the radio active substance is (1/0.173) year.
- c)one -forth of the radioactive substance will be left after nearly 8 years.
- d)average life of the substance is nearly 5.8 years.
Correct answer is option 'A,C,D'. Can you explain this answer?
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Explanation:
a) Nearly 63% of the radioactive substance will decay in (1/0.173) year:
- The time taken for 63% of a radioactive substance to decay is given by ln(2)/k, where k is the decay constant.
- Substituting k = 0.173, we get ln(2)/0.173 ≈ 4 years. Therefore, nearly 63% of the substance will decay in 4 years.
c) One-fourth of the radioactive substance will be left after nearly 8 years:
- The fraction of the substance remaining after time t is given by e^(-kt).
- Substituting k = 0.173 and t = 8 years, we get e^(-0.173*8) ≈ 0.25. Therefore, one-fourth of the substance will be left after nearly 8 years.
d) Average life of the substance is nearly 5.8 years:
- The average life (T) of a radioactive substance is given by 1/k.
- Substituting k = 0.173, we get T = 1/0.173 ≈ 5.8 years. Therefore, the average life of the substance is nearly 5.8 years.
This explains why options A, C, and D are correct.
a) Nearly 63% of the radioactive substance will decay in (1/0.173) year:
- The time taken for 63% of a radioactive substance to decay is given by ln(2)/k, where k is the decay constant.
- Substituting k = 0.173, we get ln(2)/0.173 ≈ 4 years. Therefore, nearly 63% of the substance will decay in 4 years.
c) One-fourth of the radioactive substance will be left after nearly 8 years:
- The fraction of the substance remaining after time t is given by e^(-kt).
- Substituting k = 0.173 and t = 8 years, we get e^(-0.173*8) ≈ 0.25. Therefore, one-fourth of the substance will be left after nearly 8 years.
d) Average life of the substance is nearly 5.8 years:
- The average life (T) of a radioactive substance is given by 1/k.
- Substituting k = 0.173, we get T = 1/0.173 ≈ 5.8 years. Therefore, the average life of the substance is nearly 5.8 years.
This explains why options A, C, and D are correct.
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The decay constant of a radio active substance is 0.173 (years)-1. Therefore :a)Nearly 63% of the radioactive substance will decay in (1/0.173) year.b)half life of the radio active substance is (1/0.173) year.c)one -forth of the radioactive substance will be left after nearly 8 years.d)average life of the substance is nearly 5.8 years.Correct answer is option 'A,C,D'. Can you explain this answer?
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The decay constant of a radio active substance is 0.173 (years)-1. Therefore :a)Nearly 63% of the radioactive substance will decay in (1/0.173) year.b)half life of the radio active substance is (1/0.173) year.c)one -forth of the radioactive substance will be left after nearly 8 years.d)average life of the substance is nearly 5.8 years.Correct answer is option 'A,C,D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The decay constant of a radio active substance is 0.173 (years)-1. Therefore :a)Nearly 63% of the radioactive substance will decay in (1/0.173) year.b)half life of the radio active substance is (1/0.173) year.c)one -forth of the radioactive substance will be left after nearly 8 years.d)average life of the substance is nearly 5.8 years.Correct answer is option 'A,C,D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The decay constant of a radio active substance is 0.173 (years)-1. Therefore :a)Nearly 63% of the radioactive substance will decay in (1/0.173) year.b)half life of the radio active substance is (1/0.173) year.c)one -forth of the radioactive substance will be left after nearly 8 years.d)average life of the substance is nearly 5.8 years.Correct answer is option 'A,C,D'. Can you explain this answer?.
The decay constant of a radio active substance is 0.173 (years)-1. Therefore :a)Nearly 63% of the radioactive substance will decay in (1/0.173) year.b)half life of the radio active substance is (1/0.173) year.c)one -forth of the radioactive substance will be left after nearly 8 years.d)average life of the substance is nearly 5.8 years.Correct answer is option 'A,C,D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The decay constant of a radio active substance is 0.173 (years)-1. Therefore :a)Nearly 63% of the radioactive substance will decay in (1/0.173) year.b)half life of the radio active substance is (1/0.173) year.c)one -forth of the radioactive substance will be left after nearly 8 years.d)average life of the substance is nearly 5.8 years.Correct answer is option 'A,C,D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The decay constant of a radio active substance is 0.173 (years)-1. Therefore :a)Nearly 63% of the radioactive substance will decay in (1/0.173) year.b)half life of the radio active substance is (1/0.173) year.c)one -forth of the radioactive substance will be left after nearly 8 years.d)average life of the substance is nearly 5.8 years.Correct answer is option 'A,C,D'. Can you explain this answer?.
Solutions for The decay constant of a radio active substance is 0.173 (years)-1. Therefore :a)Nearly 63% of the radioactive substance will decay in (1/0.173) year.b)half life of the radio active substance is (1/0.173) year.c)one -forth of the radioactive substance will be left after nearly 8 years.d)average life of the substance is nearly 5.8 years.Correct answer is option 'A,C,D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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ample number of questions to practice The decay constant of a radio active substance is 0.173 (years)-1. Therefore :a)Nearly 63% of the radioactive substance will decay in (1/0.173) year.b)half life of the radio active substance is (1/0.173) year.c)one -forth of the radioactive substance will be left after nearly 8 years.d)average life of the substance is nearly 5.8 years.Correct answer is option 'A,C,D'. Can you explain this answer? tests, examples and also practice JEE tests.
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