A particle of charge moves with velocity in a uniform magnetic field

PHYSICS · Single correct · CBSE · Physics · Moving Charges and Magnetism · Moving Charges and Magnetism

Problem

A particle of charge +2.0 μC+2.0\,\mu\text{C} moves with velocity v⃗=(3i^+2j^−k^)×106 m s−1\vec v = (3\hat i + 2\hat j - \hat k)\times10^{6}\,\text{m s}^{-1} in a uniform magnetic field B⃗=(0.4i^−0.2j^+0.5k^) T\vec B = (0.4\hat i - 0.2\hat j + 0.5\hat k)\,\text{T}. Find the magnitude of the magnetic force on the particle. (a) 2.5 N2.5\,\text{N} (b) 0.6 N0.6\,\text{N} (c) 5.0 N5.0\,\text{N} (d) 3.9 N3.9\,\text{N}

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