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Electrons moving with different speeds enter a uniform magnetic field in a direction perpendicular to the field. They will move along circular paths.
  • a)
    of same radius
  • b)
    with larger radii for the faster electrons
  • c)
    with smaller radii for the faster electrons
  • d)
    either (B) or (C) depending on the magnitude of the magnetic field
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Electrons moving with different speeds enter a uniform magnetic field ...
mv = BQr
or r = (m/BQ) v
As m, Q and B are the same for all the electrons, r ∝ v. 
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Community Answer
Electrons moving with different speeds enter a uniform magnetic field ...
mv = BQr
or r = (m/BQ) v
As m, Q and B are the same for all the electrons, r ∝ v. 
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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 fluorescences microscopy.Q. Why electron as wave is used in electron microscope to illuminate the sample?

Electrons moving with different speeds enter a uniform magnetic field in a direction perpendicular to the field. They will move along circular paths.a)of same radiusb)with larger radii for the faster electronsc)with smaller radii for the faster electronsd)either (B) or (C) depending on the magnitude of the magnetic fieldCorrect answer is option 'B'. Can you explain this answer?
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Electrons moving with different speeds enter a uniform magnetic field in a direction perpendicular to the field. They will move along circular paths.a)of same radiusb)with larger radii for the faster electronsc)with smaller radii for the faster electronsd)either (B) or (C) depending on the magnitude of the magnetic fieldCorrect answer is option 'B'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Electrons moving with different speeds enter a uniform magnetic field in a direction perpendicular to the field. They will move along circular paths.a)of same radiusb)with larger radii for the faster electronsc)with smaller radii for the faster electronsd)either (B) or (C) depending on the magnitude of the magnetic fieldCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Electrons moving with different speeds enter a uniform magnetic field in a direction perpendicular to the field. They will move along circular paths.a)of same radiusb)with larger radii for the faster electronsc)with smaller radii for the faster electronsd)either (B) or (C) depending on the magnitude of the magnetic fieldCorrect answer is option 'B'. Can you explain this answer?.
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