Magnetic Effects & Magnetism

JEE Main level, single correct, medium

237 of 276

Question 237 of 276

The magnetic force acting on charged particle of charge 2μC2 \mu \mathrm{C} in magnetic field of 2T2 T acting in y−y- direction, when the particle velocity is (2i^+3j^)×106 ms−1(2 \hat{i}+3 \hat{j}) \times 10^6 \mathrm{~ms}^{-1} is

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Answer: (A) 8 N8 \mathrm{~N} in z-direction

 F⃗=q(V⃗×B⃗)=2×10−6[(2i^+3j^)×106×2j^]\begin{aligned} & \text { } \vec{F}=q(\vec{V} \times \vec{B}) \\ & =2 \times 10^{-6}\left[(2 \hat{i}+3 \hat{j}) \times 10^6 \times 2 \hat{j}\right] \\ & \end{aligned}

=2×4k^=8N=2 \times 4 \hat{k}=8 N in Z-direction.

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