An electron moving with speed c/100 is injected into a magnetic field

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📘Question

An electron (mass 9 × 10^–31 kg and charge 1.6 ×10^–19 C) 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 × 10^8 ms–1)                                                       (NEET-2025)

✅ Answer

An electron (mass 9 × 10–31 kg and charge 1.6 ×10–19 C) 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) (1) E  is perpendicular to B  and its magnitude is 27 × 104 V m–1 (2) E  is perpendicular to B  and its magnitude is 27 × 102 V m–1 (3) E  is parallel to B  and its magnitude is 27 × 102 V m–1 (4) E  is parallel to B  and its magnitude is 27 × 104 V m

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