A particle with charge has velocity when it enters a region having uniform magnetic field

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

Problem

A particle with charge −e-e has velocity v⃗=2i^+3j^  m s−1\vec v = 2\hat i + 3\hat j\;\text{m\,s}^{-1} when it enters a region having uniform magnetic field B⃗=4k^  T\vec B = 4\hat k\;\text{T}. Which one of the following vectors gives the correct direction of the magnetic force on the particle? (a) 12 i^−8 j^12\,\hat i - 8\,\hat j (b) −3 i^+2 j^-3\,\hat i + 2\,\hat j (c) −12 i^+8 j^-12\,\hat i + 8\,\hat j (d) −8 i^+12 j^-8\,\hat i + 12\,\hat j

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