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NEET 2009
Exam
NEET
Year
2009
Subject
Physics
Chapter
Magnetic Properties of Matter

NEET 2009 · Physics · Magnetic Properties of Matter

The magnetic force acting on a charged particle of charge -2 μ c in...

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

Options

  1. A8 N8 \mathrm{~N} in z\mathrm{z} - direction
  2. B8 N8 \mathrm{~N} in z−\mathrm{z}- direction
  3. C4 N4 \mathrm{~N} in z\mathrm{z} - direction
  4. D8 N8 \mathrm{~N} in y−\mathrm{y}- direction

Correct answer

B. 8 N8 \mathrm{~N} in z−\mathrm{z}- direction

Step-by-step solution

F→=q(v→×B→)=−2×10−6[(2i^+3j^)×106×2j^]=−(8N)k^\begin{aligned} \overrightarrow{\mathrm{F}}& =\mathrm{q}(\overrightarrow{\mathrm{v}} \times \overrightarrow{\mathrm{B}})\\ & =-2 \times10^{-6}\left[(2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}) \times10^6 \times2 \hat{\mathrm{j}}\right] \\ & =-(8 \mathrm{ N}) \hat{\mathrm{k}} \end{aligned}
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