NEET Exam > NEET Questions > The debroglie wavelength of a particle moving...
Start Learning for Free
The debroglie wavelength of a particle moving with a velocity 2.25 ×10 raised to8 is eqal to that of a photon. The ratio of theri kinetic energies is.?
Most Upvoted Answer
The debroglie wavelength of a particle moving with a velocity 2.25 ×10...
Community Answer
The debroglie wavelength of a particle moving with a velocity 2.25 ×10...
De Broglie Wavelength Comparison
The de Broglie wavelength is given by the formula λ = h / p, where λ is the wavelength, h is the Planck constant, and p is the momentum of the particle.
Given Information
- Velocity of the particle = 2.25 × 10^8 m/s
- Ratio of de Broglie wavelength to that of a photon = 1
Calculating the de Broglie Wavelength
- The momentum of a particle is given by p = mv, where m is the mass of the particle and v is its velocity.
- Let's assume the mass of the particle is m.
- Therefore, the de Broglie wavelength of the particle is λ = h / (m * v).
Comparing with Photon
- The de Broglie wavelength of a photon is given by λ = c / f, where c is the speed of light and f is the frequency of the photon.
- Since the ratio of their wavelengths is given as 1, we have:
h / (m * v) = c / f
f = (m * v * c) / h
Calculating the Ratio of Kinetic Energies
- The kinetic energy of a particle is given by KE = 0.5 * m * v^2.
- The kinetic energy of a photon is given by KE = hf, where h is the Planck constant.
- Therefore, the ratio of their kinetic energies is:
KE_particle / KE_photon = (0.5 * m * v^2) / (h * f)
= (0.5 * m * v^2) / (m * v * c)
= 0.5 * v / c
Conclusion
The ratio of the kinetic energies of the particle and the photon moving with the given velocity is 0.5 * v / c.
The de Broglie wavelength is given by the formula λ = h / p, where λ is the wavelength, h is the Planck constant, and p is the momentum of the particle.
Given Information
- Velocity of the particle = 2.25 × 10^8 m/s
- Ratio of de Broglie wavelength to that of a photon = 1
Calculating the de Broglie Wavelength
- The momentum of a particle is given by p = mv, where m is the mass of the particle and v is its velocity.
- Let's assume the mass of the particle is m.
- Therefore, the de Broglie wavelength of the particle is λ = h / (m * v).
Comparing with Photon
- The de Broglie wavelength of a photon is given by λ = c / f, where c is the speed of light and f is the frequency of the photon.
- Since the ratio of their wavelengths is given as 1, we have:
h / (m * v) = c / f
f = (m * v * c) / h
Calculating the Ratio of Kinetic Energies
- The kinetic energy of a particle is given by KE = 0.5 * m * v^2.
- The kinetic energy of a photon is given by KE = hf, where h is the Planck constant.
- Therefore, the ratio of their kinetic energies is:
KE_particle / KE_photon = (0.5 * m * v^2) / (h * f)
= (0.5 * m * v^2) / (m * v * c)
= 0.5 * v / c
Conclusion
The ratio of the kinetic energies of the particle and the photon moving with the given velocity is 0.5 * v / c.
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
|
Explore Courses for NEET exam
|
|
Similar NEET Doubts
Top Courses for NEETView all
The debroglie wavelength of a particle moving with a velocity 2.25 ×10 raised to8 is eqal to that of a photon. The ratio of theri kinetic energies is.?
Question Description
The debroglie wavelength of a particle moving with a velocity 2.25 ×10 raised to8 is eqal to that of a photon. The ratio of theri kinetic energies is.? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The debroglie wavelength of a particle moving with a velocity 2.25 ×10 raised to8 is eqal to that of a photon. The ratio of theri kinetic energies is.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The debroglie wavelength of a particle moving with a velocity 2.25 ×10 raised to8 is eqal to that of a photon. The ratio of theri kinetic energies is.?.
The debroglie wavelength of a particle moving with a velocity 2.25 ×10 raised to8 is eqal to that of a photon. The ratio of theri kinetic energies is.? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The debroglie wavelength of a particle moving with a velocity 2.25 ×10 raised to8 is eqal to that of a photon. The ratio of theri kinetic energies is.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The debroglie wavelength of a particle moving with a velocity 2.25 ×10 raised to8 is eqal to that of a photon. The ratio of theri kinetic energies is.?.
Solutions for The debroglie wavelength of a particle moving with a velocity 2.25 ×10 raised to8 is eqal to that of a photon. The ratio of theri kinetic energies is.? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of The debroglie wavelength of a particle moving with a velocity 2.25 ×10 raised to8 is eqal to that of a photon. The ratio of theri kinetic energies is.? defined & explained in the simplest way possible. Besides giving the explanation of
The debroglie wavelength of a particle moving with a velocity 2.25 ×10 raised to8 is eqal to that of a photon. The ratio of theri kinetic energies is.?, a detailed solution for The debroglie wavelength of a particle moving with a velocity 2.25 ×10 raised to8 is eqal to that of a photon. The ratio of theri kinetic energies is.? has been provided alongside types of The debroglie wavelength of a particle moving with a velocity 2.25 ×10 raised to8 is eqal to that of a photon. The ratio of theri kinetic energies is.? theory, EduRev gives you an
ample number of questions to practice The debroglie wavelength of a particle moving with a velocity 2.25 ×10 raised to8 is eqal to that of a photon. The ratio of theri kinetic energies is.? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET 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
|
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