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Topics in JEE Physics
The magnetic moment of an electron orbiting in the first Bohr orbit is approximately:
Correct Answer:
A. 1 Bohr magneton
EXPLANATION
The magnetic moment of an electron in the first Bohr orbit equals 1 Bohr magneton (μ_B = eℏ/2m_e ≈ 9.27 × 10⁻²⁴ J/T). This is a fundamental quantum result.
A rectangular loop of dimensions a × b carrying current I is placed in a uniform magnetic field B. The maximum torque on the loop is:
Correct Answer:
A. τ = BIab
EXPLANATION
Torque on a current loop in a magnetic field is τ = NIAB sin(θ), where A is the area and θ is the angle. Maximum torque occurs when sin(θ) = 1, giving τ_max = BIab for N=1.
Two parallel wires carrying currents I₁ and I₂ in opposite directions are separated by distance d. The force between them is:
Correct Answer:
C. Repulsive with magnitude F = μ₀I₁I₂/2πdℓ
EXPLANATION
Currents in opposite directions repel each other. The force per unit length is F/ℓ = μ₀I₁I₂/2πd, making total force F = μ₀I₁I₂ℓ/2πd (repulsive).
An electron enters a region of uniform magnetic field with velocity v perpendicular to the field. If the magnetic field strength is B, the radius of curvature is:
Correct Answer:
A. r = mv/eB
EXPLANATION
For a charged particle in a magnetic field, centripetal force equals magnetic force: mv²/r = evB, giving r = mv/eB. This is the radius of the circular path.