Q45. What uniform magnetic field applied perpendicular to a beam of electrons moving at 1.3 x 106 m/

Q: What is the correct answer for CUET UG Physics Q45?

The correct answer is c. When a charged particle moves perpendicular to a uniform magnetic field, the magnetic force (Lorentz force) provides the necessary centripetal force for it to follow a circular path.Magnetic force F_B = qvB.Centripetal force F_c = mv²/r.Equating these forces: qvB = mv²/r.Solving for the magnetic field strength B = mv/(qr).Given: Mass of electron (m) = 9.11 × 10⁻³¹ kg, charge of electron (q = e) =

Q: Q45. What uniform magnetic field applied perpendicular to a beam of electrons moving at 1.3 x 106 m/s, is required to make the electrons travels in a circular arc of radius 0.35 m? (a) 2.1 x 10-5…

The correct answer is c. When a charged particle moves perpendicular to a uniform magnetic field, the magnetic force (Lorentz force) provides the necessary centripetal force for it to follow a circular path.Magnetic force F_B = qvB.Centripetal force F_c = mv²/r.Equating these forces: qvB = mv²/r.Solving for the magnetic field strength B = mv/(qr).Given: Mass of electron (m) = 9.11 × 10⁻³¹ kg, charge of electron (q = e) =

Q: What are the options for this CUET UG Physics question?

A. 2.1 x 10-5 G · B. 6 x 10-5 T · C. 2.1 x 10-5 T · D. 6 x 10-5 G

Question

Q45. What uniform magnetic field applied perpendicular to a beam of electrons moving at 1.3 x 106 m/s, is required to make the electrons travels in a circular arc of radius 0.35 m?
(a) 2.1 x 10-5 G
(b) 6 x 10-5 T
(c) 2.1 x 10-5 T
(d) 6 x 10-5 G

FirstInTest · Accepted Answer

When a charged particle moves perpendicular to a uniform magnetic field, the magnetic force (Lorentz force) provides the necessary centripetal force for it to follow a circular path.Magnetic force F_B = qvB.Centripetal force F_c = mv²/r.Equating these forces: qvB = mv²/r.Solving for the magnetic field strength B = mv/(qr).Given: Mass of electron (m) = 9.11 × 10⁻³¹ kg, charge of electron (q = e) = 1.6 × 10⁻¹⁹ C, speed (v) = 1.3 × 10⁶ m/s, radius (r) = 0.35 m.B = (9.11 × 10⁻³¹ kg * 1.3 × 10⁶ m/s) / (1.6 × 10⁻¹⁹ C * 0.35 m)B = (1.1843 × 10⁻²⁴) / (5.6 × 10⁻²⁰) TB ≈ 2.11 × 10⁻⁵ T.This matches option (c). (Note: 1 Tesla = 10⁴ Gauss).

Answer

2.1 x 10-5 G

Answer

6 x 10-5 T

Answer

2.1 x 10-5 T

Answer

6 x 10-5 G

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