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JEE PHYSICS MCQ: MAGNETIC EFFECT OF CURRENT

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When a proton has a velocity v⃗=(2i^+3j^)×106 ms−1\vec{v}=(2 \hat{i}+3 \hat{j}) \times 10^6 \mathrm{~ms}^{-1}, it experiences a force F⃗=−(1.28×10−13k^)N\vec{F}=-\left(1.28 \times 10^{-13} \hat{k}\right) \mathrm{N}. When its velocity is along the zz-axis, it experiences a force along the xx-axis. What is the magnetic field?
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Correct option: A
−(0.4j^)T-(0.4 \hat{j}) \mathrm{T}
Option A (−(0.4j^)T-(0.4 \hat{j}) \mathrm{T}) is correct because it is found by applying the Lorentz force equation and analyzing the force directions for the given velocities.

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