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An electron remains undeflected when passing perpendicular to mutually perpendicular electric and magnetic fields. If the magnetic field is 8 Gauss and elecric field is 4000 V/m, the velocity of the electron is
  • a)
    2 x 10 6 m s − 1
  • b)
    5 x 106 m s − 1
  • c)
    6 x 106 m s − 1
  • d)
    7.5 x 106 m s − 1
Correct answer is option 'B'. Can you explain this answer?
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Given data:
- Electric field strength (E) = 4000 V/m
- Magnetic field strength (B) = 8 Gauss

Concept:
- The electron remains undeflected when passing perpendicular to mutually perpendicular electric and magnetic fields.
- The force experienced by the electron due to the electric field (Fe) is given by Fe = qE, where q is the charge of the electron.
- The force experienced by the electron due to the magnetic field (Fm) is given by Fm = qvB, where v is the velocity of the electron.

Equating the forces:
Since the electron remains undeflected, the forces due to the electric and magnetic fields must be equal and opposite.
- Therefore, Fe = Fm
- qE = qvB
- v = E/B
- v = 4000/8
- v = 500 m/s

Convert the velocity to the required units:
- 500 m/s = 5 x 10^2 m/s = 5 x 10^6 m/s

Conclusion:
- The velocity of the electron is 5 x 10^6 m/s, which matches with option 'B'.
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An electron remains undeflected when passing perpendicular to mutually perpendicular electric and magnetic fields. If the magnetic field is 8 Gauss and elecric field is 4000 V/m, the velocity of the electron isa)2 x 10 6 m s − 1b)5 x 106 m s − 1c)6 x 106 m s − 1d)7.5 x 106 m s − 1Correct answer is option 'B'. Can you explain this answer?
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An electron remains undeflected when passing perpendicular to mutually perpendicular electric and magnetic fields. If the magnetic field is 8 Gauss and elecric field is 4000 V/m, the velocity of the electron isa)2 x 10 6 m s − 1b)5 x 106 m s − 1c)6 x 106 m s − 1d)7.5 x 106 m s − 1Correct answer is option 'B'. 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 An electron remains undeflected when passing perpendicular to mutually perpendicular electric and magnetic fields. If the magnetic field is 8 Gauss and elecric field is 4000 V/m, the velocity of the electron isa)2 x 10 6 m s − 1b)5 x 106 m s − 1c)6 x 106 m s − 1d)7.5 x 106 m s − 1Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An electron remains undeflected when passing perpendicular to mutually perpendicular electric and magnetic fields. If the magnetic field is 8 Gauss and elecric field is 4000 V/m, the velocity of the electron isa)2 x 10 6 m s − 1b)5 x 106 m s − 1c)6 x 106 m s − 1d)7.5 x 106 m s − 1Correct answer is option 'B'. Can you explain this answer?.
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