A proton moves with velocity in a uniform magnetic field

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

Problem

A proton moves with velocity v⃗=2i^+3j^+4k^ m s−1\vec v = 2\hat i + 3\hat j + 4\hat k\,\text{m s}^{-1} in a uniform magnetic field B⃗=i^−2j^+2k^ T\vec B = \hat i - 2\hat j + 2\hat k\,\text{T}. Calculate the angle (to the nearest degree) between the magnetic force on the proton and the positive xx–axis. (a) 71∘71^{\circ} (b) 26.6∘26.6^{\circ} (c) 63.4∘63.4^{\circ} (d) 90∘90^{\circ}

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