A charged particle carrying charge 1 C is moving with velocity (2 i +3 j +4 k ) ms -1 …

Physics · NEET · NTA ExamsMagnetic Effects of Current and Magnetism

A charged particle carrying charge 1 μC is moving with velocity \((2 \hat{i}+3 \hat{j}+4 \hat{k})\) ms-1. If an external magnetic field of \((5 \hat{i}+3 \hat{j}-6 \hat{k}) \times 10^{-3} T\) exists in the region where the particle is moving then the force on the particle is \(\overrightarrow{\mathrm{F}} \times 10^{-9}\) N. The vector \(\text { F }\) is:
  1. \(-0.30 \hat{i}+0.32 \hat{j}-0.09 \hat{k}\)
  2. \(-300 \hat{i}+320 \hat{j}-90 \hat{k}\)
  3. \(-30 \hat{i}+32 \hat{j}-9 \hat{k}\)
  4. \(-3.0 \hat{i}+3.2 \hat{j}-0.9 \hat{k}\)

Answer

(C) -30 i +32 j -9 k

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