Q147 / 160 · TS EAMCET 2023 (13 May Shift 1) · Physics

A charge ' $\mathrm{q}$ ' moves with a velocity $2 \mathrm{~ms}^{-1}$ along $\mathrm{x}$-axis in a uniform magnetic field $\vec{B}=(2 \hat{i}+2 \hat{j}+3 \hat{k}) T$, then charge will experience a force

  • Correct answer
    A
    In $y-z$ plane
  • B
    Along - $\mathrm{y}$ axis
  • C
    Along $+\mathrm{z}$ axis
  • D
    Along $-\mathrm{z}$ axis

Solution

Velocity of charge, $\overrightarrow{\mathrm{v}}=2 \mathrm{~m} / \mathrm{s}$ along $\mathrm{x}$ axis uniform magnetic field, $\vec{B}=(2 \hat{j}+2 \hat{j}+3 \hat{k}) T$ Change will experience a force $$ \begin{aligned} & F=q \vec{v} \times \vec{B}=q(2 \hat{j}) \times(2 \hat{i}+2 \hat{j}+3 \hat{k}) \\ & =q(4 \hat{k}-6 \hat{j}) \end{aligned} $$ So, charge will experience a force in $\mathrm{y}-2$ plane.

Hence, the correct answer is option: 'A'.

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