Class 11 Exam > Class 11 Questions > In one experiment a proton having initial kin...
Start Learning for Free
In one experiment a proton having initial kinetic energy of 1eV is accelerated through a potential difference of 3 V. In another experiment, an a-particle having initial kinetic energy 20 eV is retarded by a potential difference of 2 V. the ratio of de-Broglie wavelengths of proton and a-particle is?
Most Upvoted Answer
In one experiment a proton having initial kinetic energy of 1eV is acc...
Ratio of de-Broglie wavelengths of proton and a-particle
To find the ratio of de-Broglie wavelengths of proton and a-particle, we need to use the formula for de-Broglie wavelength:
λ = h/p
where λ is the de-Broglie wavelength, h is Planck's constant, and p is the momentum of the particle.
Experiment 1: Proton accelerated through a potential difference of 3 V
The initial kinetic energy of the proton is 1 eV. To find the momentum of the proton, we can use the formula:
K = p²/2m
where K is the kinetic energy, p is the momentum, and m is the mass of the proton.
Rearranging the formula, we get:
p = sqrt(2mK)
Substituting the values, we get:
p = sqrt(2*1.67e-27*1.6e-19) = 3.26e-22 kg m/s
Using the formula for de-Broglie wavelength, we get:
λ_proton = h/p = 6.63e-34/3.26e-22 = 2.03e-12 m
Experiment 2: Alpha particle retarded by a potential difference of 2 V
The initial kinetic energy of the alpha particle is 20 eV. To find the momentum of the alpha particle, we can use the same formula:
K = p²/2m
Rearranging the formula, we get:
p = sqrt(2mK)
Substituting the values, we get:
p = sqrt(2*6.64e-27*20*1.6e-19) = 9.13e-22 kg m/s
Using the formula for de-Broglie wavelength, we get:
λ_alpha = h/p = 6.63e-34/9.13e-22 = 7.26e-13 m
Ratio of de-Broglie wavelengths
To find the ratio of de-Broglie wavelengths, we can divide λ_proton by λ_alpha:
λ_proton/λ_alpha = 2.03e-12/7.26e-13 = 2.79
Therefore, the ratio of de-Broglie wavelengths of proton and alpha particle is 2.79.
Explanation
The de-Broglie wavelength of a particle is inversely proportional to its momentum. In the first experiment, the proton is accelerated through a potential difference, which increases its kinetic energy and hence its momentum. In the second experiment, the alpha particle is retarded by a potential difference, which decreases its kinetic energy and hence its momentum. Since the proton has a smaller mass than the alpha particle, it gains more momentum for the same increase in kinetic energy. This results in a smaller de-Broglie wavelength for the proton compared to the alpha particle.
To find the ratio of de-Broglie wavelengths of proton and a-particle, we need to use the formula for de-Broglie wavelength:
λ = h/p
where λ is the de-Broglie wavelength, h is Planck's constant, and p is the momentum of the particle.
Experiment 1: Proton accelerated through a potential difference of 3 V
The initial kinetic energy of the proton is 1 eV. To find the momentum of the proton, we can use the formula:
K = p²/2m
where K is the kinetic energy, p is the momentum, and m is the mass of the proton.
Rearranging the formula, we get:
p = sqrt(2mK)
Substituting the values, we get:
p = sqrt(2*1.67e-27*1.6e-19) = 3.26e-22 kg m/s
Using the formula for de-Broglie wavelength, we get:
λ_proton = h/p = 6.63e-34/3.26e-22 = 2.03e-12 m
Experiment 2: Alpha particle retarded by a potential difference of 2 V
The initial kinetic energy of the alpha particle is 20 eV. To find the momentum of the alpha particle, we can use the same formula:
K = p²/2m
Rearranging the formula, we get:
p = sqrt(2mK)
Substituting the values, we get:
p = sqrt(2*6.64e-27*20*1.6e-19) = 9.13e-22 kg m/s
Using the formula for de-Broglie wavelength, we get:
λ_alpha = h/p = 6.63e-34/9.13e-22 = 7.26e-13 m
Ratio of de-Broglie wavelengths
To find the ratio of de-Broglie wavelengths, we can divide λ_proton by λ_alpha:
λ_proton/λ_alpha = 2.03e-12/7.26e-13 = 2.79
Therefore, the ratio of de-Broglie wavelengths of proton and alpha particle is 2.79.
Explanation
The de-Broglie wavelength of a particle is inversely proportional to its momentum. In the first experiment, the proton is accelerated through a potential difference, which increases its kinetic energy and hence its momentum. In the second experiment, the alpha particle is retarded by a potential difference, which decreases its kinetic energy and hence its momentum. Since the proton has a smaller mass than the alpha particle, it gains more momentum for the same increase in kinetic energy. This results in a smaller de-Broglie wavelength for the proton compared to the alpha particle.
Community Answer
In one experiment a proton having initial kinetic energy of 1eV is acc...
Abhinav ultraviolet light of all wavelength passes through hydrogen gas at room temperature in the x minus direction assume that all photons emitted due to electron transition inside the gas emerge in the Y - direction let A and B denote the light emerging from the gas in the X and Y direction respectively
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Top Courses for Class 11View all
In one experiment a proton having initial kinetic energy of 1eV is accelerated through a potential difference of 3 V. In another experiment, an a-particle having initial kinetic energy 20 eV is retarded by a potential difference of 2 V. the ratio of de-Broglie wavelengths of proton and a-particle is?
Question Description
In one experiment a proton having initial kinetic energy of 1eV is accelerated through a potential difference of 3 V. In another experiment, an a-particle having initial kinetic energy 20 eV is retarded by a potential difference of 2 V. the ratio of de-Broglie wavelengths of proton and a-particle is? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about In one experiment a proton having initial kinetic energy of 1eV is accelerated through a potential difference of 3 V. In another experiment, an a-particle having initial kinetic energy 20 eV is retarded by a potential difference of 2 V. the ratio of de-Broglie wavelengths of proton and a-particle is? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In one experiment a proton having initial kinetic energy of 1eV is accelerated through a potential difference of 3 V. In another experiment, an a-particle having initial kinetic energy 20 eV is retarded by a potential difference of 2 V. the ratio of de-Broglie wavelengths of proton and a-particle is?.
In one experiment a proton having initial kinetic energy of 1eV is accelerated through a potential difference of 3 V. In another experiment, an a-particle having initial kinetic energy 20 eV is retarded by a potential difference of 2 V. the ratio of de-Broglie wavelengths of proton and a-particle is? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about In one experiment a proton having initial kinetic energy of 1eV is accelerated through a potential difference of 3 V. In another experiment, an a-particle having initial kinetic energy 20 eV is retarded by a potential difference of 2 V. the ratio of de-Broglie wavelengths of proton and a-particle is? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In one experiment a proton having initial kinetic energy of 1eV is accelerated through a potential difference of 3 V. In another experiment, an a-particle having initial kinetic energy 20 eV is retarded by a potential difference of 2 V. the ratio of de-Broglie wavelengths of proton and a-particle is?.
Solutions for In one experiment a proton having initial kinetic energy of 1eV is accelerated through a potential difference of 3 V. In another experiment, an a-particle having initial kinetic energy 20 eV is retarded by a potential difference of 2 V. the ratio of de-Broglie wavelengths of proton and a-particle is? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of In one experiment a proton having initial kinetic energy of 1eV is accelerated through a potential difference of 3 V. In another experiment, an a-particle having initial kinetic energy 20 eV is retarded by a potential difference of 2 V. the ratio of de-Broglie wavelengths of proton and a-particle is? defined & explained in the simplest way possible. Besides giving the explanation of
In one experiment a proton having initial kinetic energy of 1eV is accelerated through a potential difference of 3 V. In another experiment, an a-particle having initial kinetic energy 20 eV is retarded by a potential difference of 2 V. the ratio of de-Broglie wavelengths of proton and a-particle is?, a detailed solution for In one experiment a proton having initial kinetic energy of 1eV is accelerated through a potential difference of 3 V. In another experiment, an a-particle having initial kinetic energy 20 eV is retarded by a potential difference of 2 V. the ratio of de-Broglie wavelengths of proton and a-particle is? has been provided alongside types of In one experiment a proton having initial kinetic energy of 1eV is accelerated through a potential difference of 3 V. In another experiment, an a-particle having initial kinetic energy 20 eV is retarded by a potential difference of 2 V. the ratio of de-Broglie wavelengths of proton and a-particle is? theory, EduRev gives you an
ample number of questions to practice In one experiment a proton having initial kinetic energy of 1eV is accelerated through a potential difference of 3 V. In another experiment, an a-particle having initial kinetic energy 20 eV is retarded by a potential difference of 2 V. the ratio of de-Broglie wavelengths of proton and a-particle is? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 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