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An electron with a speed of 1.8 x 106 m/s is moving in a circular orbit in a uniform magnetic field of 10-4 Wb/m², the radius of the circular path of the electron is​
  • a)
    10.63 m
  • b)
    1.063 m
  • c)
    106.3 m
  • d)
    0.1063 m
Correct answer is option 'D'. Can you explain this answer?
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An electron with a speed of 1.8 x 106m/s is moving in a circular orbit...
4. 0.1063 m
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An electron with a speed of 1.8 x 106m/s is moving in a circular orbit...
Given data:
Speed of electron (v) = 1.8 x 10^6 m/s
Magnetic field (B) = 10^-4 Wb/m

Formula:
The force on a charged particle moving in a magnetic field is given by: F = qvB
The centripetal force required to keep the electron in a circular path is provided by the magnetic force: F = mv^2/r

Calculations:
1. Equating the two forces:
qvb = mv^2/r
r = mv/qB
2. Substituting the values:
r = (9.11 x 10^-31 kg x 1.8 x 10^6 m/s) / (1.6 x 10^-19 C x 10^-4 Wb/m)
r = 0.1063 m
Therefore, the radius of the circular path of the electron is 0.1063 m, which corresponds to option 'D'.
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An electron with a speed of 1.8 x 106m/s is moving in a circular orbit in a uniform magnetic field of 10-4Wb/m², the radius of the circular path of the electron is​a)10.63 mb)1.063 mc)106.3 md)0.1063 mCorrect answer is option 'D'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about An electron with a speed of 1.8 x 106m/s is moving in a circular orbit in a uniform magnetic field of 10-4Wb/m², the radius of the circular path of the electron is​a)10.63 mb)1.063 mc)106.3 md)0.1063 mCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An electron with a speed of 1.8 x 106m/s is moving in a circular orbit in a uniform magnetic field of 10-4Wb/m², the radius of the circular path of the electron is​a)10.63 mb)1.063 mc)106.3 md)0.1063 mCorrect answer is option 'D'. Can you explain this answer?.
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