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A proton and an electron are acceleration by the same potential difference Let λ e and   λ p denote the de Broglie wavelengths of the electron and the proton respectively
  • a)
    λ e = λ p
  • b)
    λ e < λ p
  • c)
    λ e > λ p
  • d)
    The relation between λ e and   λ p depends on the accelerating potential difference
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A proton and an electron are acceleration by the same potential differ...
Us assume that the potential difference is V volts.

The potential difference V is the energy gained per unit charge when moving from the negative terminal to the positive terminal of a battery or any other electrical device.

The electron and proton have opposite charges, so they will experience opposite forces when placed in the same electric field. The force on a charged particle in an electric field is given by the equation:

F = qE

where F is the force, q is the charge of the particle, and E is the electric field strength.

Since the electron has a negative charge and the proton has a positive charge, the direction of the force on each particle will be opposite. The electron will be attracted towards the positive terminal of the battery, while the proton will be attracted towards the negative terminal.

The acceleration of a charged particle in an electric field is given by the equation:

a = F/m

where a is the acceleration, F is the force on the particle, and m is the mass of the particle.

The proton is much more massive than the electron, so it will experience a much smaller acceleration than the electron for the same force.

Therefore, the electron will be accelerated much more than the proton by the same potential difference.
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Community Answer
A proton and an electron are acceleration by the same potential differ...
Greater the mass lesser the wavelengths
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Read the following text and answer the following questions on the basis of the same:Electron Microscope Electron microscopes use electrons to illuminate a sample. In Transmission Electron Microscopy (TEM), electrons pass through the sample and illuminate film or a digital camera.Resolution in microscopy is limited to about half of the wavelength of the illumination source used to image the sample. Using visible light the best resolution that can be achieved by microscopes is about ~200 nm. Louis de Broglie showed that every particle or matter propagates like a wave. The wavelength of propagating electrons at a given accelerating voltage can be determined byThus, the wavelength of electrons is calculated to be 3.88 pm when the microscope is operated at 100 keV, 2. 74 pm at 200 keV and 2.24 pm at 300 keV. However, because the velocities of electrons in an electron microscope reach about 70% the speed of light with an accelerating voltage of 200 keV, there are relativistic effects on these electrons. Due to this effect, the wavelength at 100 keV, 200 keV and 300 keV in electron microscopes is 3.70 pm, 2.51 pm and 1.96 pm, respectively.Anyhow, the wavelength of electrons is much smaller than that of photons (2.5 pm at 200 keV). Thus if electron wave is used to illuminate the sample, the resolution of an electron microscope theoretically becomes unlimited. Practically, the resolution is limited to ~0.1 nm due to the objective lens system in electron microscopes. Thus, electron microscopy can resolve subcellular structures that could not be visualized using standard fluorescence microscopy.Q. Wavelength of electron as wave at accelerating voltage 200 keV is

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A proton and an electron are acceleration by the same potential difference Letλ e and λ p denote the de Broglie wavelengths of the electron and the proton respectivelya)λ e =λ pb)λ e<λ pc)λ e>λ pd)The relation betweenλ e and λ p depends on the accelerating potential differenceCorrect answer is option 'C'. Can you explain this answer?
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A proton and an electron are acceleration by the same potential difference Letλ e and λ p denote the de Broglie wavelengths of the electron and the proton respectivelya)λ e =λ pb)λ e<λ pc)λ e>λ pd)The relation betweenλ e and λ p depends on the accelerating potential differenceCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A proton and an electron are acceleration by the same potential difference Letλ e and λ p denote the de Broglie wavelengths of the electron and the proton respectivelya)λ e =λ pb)λ e<λ pc)λ e>λ pd)The relation betweenλ e and λ p depends on the accelerating potential differenceCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A proton and an electron are acceleration by the same potential difference Letλ e and λ p denote the de Broglie wavelengths of the electron and the proton respectivelya)λ e =λ pb)λ e<λ pc)λ e>λ pd)The relation betweenλ e and λ p depends on the accelerating potential differenceCorrect answer is option 'C'. Can you explain this answer?.
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