IIT JAM Exam > IIT JAM Questions > A nucleus has a size of 1015 m. Consider an e...
Start Learning for Free
A nucleus has a size of 10–15 m. Consider an electron bound within a nucleus. The estimated energy of this electron is of the order of
- a)1 MeV
- b)102 MeV
- c)104 MeV
- d)106 MeV
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A nucleus has a size of 1015 m. Consider an electron bound within a nu...
Explanation:
Size of Nucleus:
The size of the nucleus is given as 10^-15 m.
Electron Bound within a Nucleus:
An electron bound within a nucleus is also known as a "bound state" electron. In this state, the electron is confined to a very small space within the nucleus.
Energy of Electron:
The estimated energy of the electron can be calculated using the Uncertainty Principle. According to the Uncertainty Principle, the product of the uncertainty in position and the uncertainty in momentum is always greater than or equal to Planck's constant divided by 2π.
ΔxΔp ≥ h/2π
Where Δx is the uncertainty in position, Δp is the uncertainty in momentum, and h is Planck's constant.
For an electron bound within a nucleus, the uncertainty in position is equal to the size of the nucleus (10^-15 m). Therefore, we can calculate the uncertainty in momentum as follows:
Δp ≥ h/2πΔx
Δp ≥ (6.626 x 10^-34 J s)/(2π x 10^-15 m)
Δp ≥ 1.054 x 10^-19 kg m/s
Using the formula for kinetic energy (K = p^2/2m), we can calculate the estimated energy of the electron:
K = (Δp)^2/2m
K = (1.054 x 10^-19 kg m/s)^2/(2 x 9.1 x 10^-31 kg)
K = 1.17 x 10^-12 J
Converting this to MeV, we get:
K = 1.17 x 10^-12 J / (1.6 x 10^-13 J/MeV)
K = 7.3 MeV
Therefore, the estimated energy of the electron bound within a nucleus is of the order of 102 MeV (approximately 7.3 MeV). Option B is the correct answer.
Size of Nucleus:
The size of the nucleus is given as 10^-15 m.
Electron Bound within a Nucleus:
An electron bound within a nucleus is also known as a "bound state" electron. In this state, the electron is confined to a very small space within the nucleus.
Energy of Electron:
The estimated energy of the electron can be calculated using the Uncertainty Principle. According to the Uncertainty Principle, the product of the uncertainty in position and the uncertainty in momentum is always greater than or equal to Planck's constant divided by 2π.
ΔxΔp ≥ h/2π
Where Δx is the uncertainty in position, Δp is the uncertainty in momentum, and h is Planck's constant.
For an electron bound within a nucleus, the uncertainty in position is equal to the size of the nucleus (10^-15 m). Therefore, we can calculate the uncertainty in momentum as follows:
Δp ≥ h/2πΔx
Δp ≥ (6.626 x 10^-34 J s)/(2π x 10^-15 m)
Δp ≥ 1.054 x 10^-19 kg m/s
Using the formula for kinetic energy (K = p^2/2m), we can calculate the estimated energy of the electron:
K = (Δp)^2/2m
K = (1.054 x 10^-19 kg m/s)^2/(2 x 9.1 x 10^-31 kg)
K = 1.17 x 10^-12 J
Converting this to MeV, we get:
K = 1.17 x 10^-12 J / (1.6 x 10^-13 J/MeV)
K = 7.3 MeV
Therefore, the estimated energy of the electron bound within a nucleus is of the order of 102 MeV (approximately 7.3 MeV). Option B is the correct answer.
Free Test
FREE
| Start Free Test |
Community Answer
A nucleus has a size of 1015 m. Consider an electron bound within a nu...
ANS= D)
EXPLANATION
E=p^2/2m
p=h/wavelength
p= 6.626×10^-34/10^-15
E=2.412×10^-7 J
but 1J=1/1.6×10^-13 mev
so E=1.50×10^6 Mev
EXPLANATION
E=p^2/2m
p=h/wavelength
p= 6.626×10^-34/10^-15
E=2.412×10^-7 J
but 1J=1/1.6×10^-13 mev
so E=1.50×10^6 Mev
|
Explore Courses for IIT JAM exam
|
|
Similar IIT JAM Doubts
A nucleus has a size of 1015 m. Consider an electron bound within a nucleus. The estimated energy of this electron is of the order ofa)1 MeVb)102 MeVc)104 MeVd)106 MeVCorrect answer is option 'B'. Can you explain this answer?
Question Description
A nucleus has a size of 1015 m. Consider an electron bound within a nucleus. The estimated energy of this electron is of the order ofa)1 MeVb)102 MeVc)104 MeVd)106 MeVCorrect answer is option 'B'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about A nucleus has a size of 1015 m. Consider an electron bound within a nucleus. The estimated energy of this electron is of the order ofa)1 MeVb)102 MeVc)104 MeVd)106 MeVCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A nucleus has a size of 1015 m. Consider an electron bound within a nucleus. The estimated energy of this electron is of the order ofa)1 MeVb)102 MeVc)104 MeVd)106 MeVCorrect answer is option 'B'. Can you explain this answer?.
A nucleus has a size of 1015 m. Consider an electron bound within a nucleus. The estimated energy of this electron is of the order ofa)1 MeVb)102 MeVc)104 MeVd)106 MeVCorrect answer is option 'B'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about A nucleus has a size of 1015 m. Consider an electron bound within a nucleus. The estimated energy of this electron is of the order ofa)1 MeVb)102 MeVc)104 MeVd)106 MeVCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A nucleus has a size of 1015 m. Consider an electron bound within a nucleus. The estimated energy of this electron is of the order ofa)1 MeVb)102 MeVc)104 MeVd)106 MeVCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A nucleus has a size of 1015 m. Consider an electron bound within a nucleus. The estimated energy of this electron is of the order ofa)1 MeVb)102 MeVc)104 MeVd)106 MeVCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for IIT JAM.
Download more important topics, notes, lectures and mock test series for IIT JAM Exam by signing up for free.
Here you can find the meaning of A nucleus has a size of 1015 m. Consider an electron bound within a nucleus. The estimated energy of this electron is of the order ofa)1 MeVb)102 MeVc)104 MeVd)106 MeVCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A nucleus has a size of 1015 m. Consider an electron bound within a nucleus. The estimated energy of this electron is of the order ofa)1 MeVb)102 MeVc)104 MeVd)106 MeVCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A nucleus has a size of 1015 m. Consider an electron bound within a nucleus. The estimated energy of this electron is of the order ofa)1 MeVb)102 MeVc)104 MeVd)106 MeVCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A nucleus has a size of 1015 m. Consider an electron bound within a nucleus. The estimated energy of this electron is of the order ofa)1 MeVb)102 MeVc)104 MeVd)106 MeVCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A nucleus has a size of 1015 m. Consider an electron bound within a nucleus. The estimated energy of this electron is of the order ofa)1 MeVb)102 MeVc)104 MeVd)106 MeVCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice IIT JAM tests.
|
|
Explore Courses for IIT JAM exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup