NEET 2025 Physics Motion of Charged Particles MCQ Question
An electron (mass 9×10⁻³¹ kg and charge 1.6×10⁻¹⁹C) moving with speed c/100 (c = speed of light) is injected into a magnetic field B of magnitude 9×10⁻⁴ T perpendicular to its direction of motion. We wish to apply an uniform electric field E together with the magnetic field so that the electron does not deflect from its path. Then (speed of light c = 3×10⁸ ms⁻¹)
is perpendicular to and its magnitude is 27×10⁴ V m⁻¹
is perpendicular to and its magnitude is 27×10² V m⁻¹
is parallel to and its magnitude is 27×10² V m⁻¹
is parallel to and its magnitude is 27×10⁴ V m⁻¹
Correct Answer
Detailed Explanation
For the electron to not deflect, the electric force must balance the magnetic force. Using F = qE = qvB, we find E = vB. Substituting v = c/100 and B = 9×10⁻⁴ T, E = (3×10⁶ m/s)(9×10⁻⁴ T) = 27×10² V/m.
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