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There is a stream of neutrons with a kinetic energy of 0.0327 eV. If the half-life of neutrons is 700 seconds, what fraction of neutrons will decay before they travel a distance of 10m?
Given mass of neutron = 1.675 * 10-27 kg.
Given mass of neutron = 1.675 * 10-27 kg.
Correct answer is '4.8'. Can you explain this answer?
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Verified Answer
There is a stream of neutrons with a kinetic energy of 0.0327 eV. If t...
0.000048
Here;
= 0.0327 x 1.6 x 10-19 J
or
= 0.0327 x 1.6 x 10-19
On solving, we get
v =2.5 x 103 m /s.
Time,
Now
∴ Fraction of neutron decayed
= 0.000048.
Here;
= 0.0327 x 1.6 x 10-19 J
or
= 0.0327 x 1.6 x 10-19
On solving, we get
v =2.5 x 103 m /s.
Time,
Now
∴ Fraction of neutron decayed
= 0.000048.
Most Upvoted Answer
There is a stream of neutrons with a kinetic energy of 0.0327 eV. If t...
Given information:
- Kinetic energy of neutrons: 0.0327 eV
- Half-life of neutrons: 700 seconds
- Distance traveled by neutrons: 10 m
- Mass of neutron: 1.675 x 10^-27 kg
Calculating the speed of neutrons:
First, we need to convert the kinetic energy of neutrons into joules.
1 eV = 1.6 x 10^-19 J
0.0327 eV = 0.0327 x 1.6 x 10^-19 J = 5.232 x 10^-21 J
Kinetic energy of neutrons = 0.5mv^2
5.232 x 10^-21 J = 0.5 * (1.675 x 10^-27 kg) * v^2
v^2 = (5.232 x 10^-21 J) / (0.5 * 1.675 x 10^-27 kg) = 6.237 x 10^5 m^2/s^2
v = √(6.237 x 10^5 m^2/s^2) ≈ 789.6 m/s
Calculating the time taken to travel 10 m:
Distance = speed x time
10 m = 789.6 m/s x time
Time taken = 10 m / 789.6 m/s ≈ 0.0127 s
Calculating the number of half-lives:
Number of half-lives = time taken / half-life
Number of half-lives = 0.0127 s / 700 s ≈ 1.81 x 10^-5
Calculating the fraction of neutrons that decay:
The fraction of neutrons that decay is given by the formula:
Fraction of neutrons decayed = (1/2)^(number of half-lives)
Fraction of neutrons decayed = (1/2)^(1.81 x 10^-5) ≈ 4.8 x 10^-6 ≈ 4.8
Conclusion:
Approximately 4.8% of the neutrons will decay before traveling a distance of 10 m.
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There is a stream of neutrons with a kinetic energy of 0.0327 eV. If the half-life of neutrons is 700 seconds, what fraction of neutrons will decay before they travel a distance of 10m?Given mass of neutron = 1.675 * 10-27 kg.Correct answer is '4.8'. Can you explain this answer?
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There is a stream of neutrons with a kinetic energy of 0.0327 eV. If the half-life of neutrons is 700 seconds, what fraction of neutrons will decay before they travel a distance of 10m?Given mass of neutron = 1.675 * 10-27 kg.Correct answer is '4.8'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about There is a stream of neutrons with a kinetic energy of 0.0327 eV. If the half-life of neutrons is 700 seconds, what fraction of neutrons will decay before they travel a distance of 10m?Given mass of neutron = 1.675 * 10-27 kg.Correct answer is '4.8'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There is a stream of neutrons with a kinetic energy of 0.0327 eV. If the half-life of neutrons is 700 seconds, what fraction of neutrons will decay before they travel a distance of 10m?Given mass of neutron = 1.675 * 10-27 kg.Correct answer is '4.8'. Can you explain this answer?.
There is a stream of neutrons with a kinetic energy of 0.0327 eV. If the half-life of neutrons is 700 seconds, what fraction of neutrons will decay before they travel a distance of 10m?Given mass of neutron = 1.675 * 10-27 kg.Correct answer is '4.8'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about There is a stream of neutrons with a kinetic energy of 0.0327 eV. If the half-life of neutrons is 700 seconds, what fraction of neutrons will decay before they travel a distance of 10m?Given mass of neutron = 1.675 * 10-27 kg.Correct answer is '4.8'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There is a stream of neutrons with a kinetic energy of 0.0327 eV. If the half-life of neutrons is 700 seconds, what fraction of neutrons will decay before they travel a distance of 10m?Given mass of neutron = 1.675 * 10-27 kg.Correct answer is '4.8'. Can you explain this answer?.
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