A charged particle is projected in a magnetic field \( \mathbf{B}=(...

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A charged particle is projected in a magnetic field \( \mathbf{B}=(2 \hat{\mathbf{i}}+4 \hat{\mathbf{j}}) \times 10^{2} \mathrm{~T} \). The acceleration of the particle is found to be \( \mathbf{a}=(x \hat{\mathbf{i}}+2 \hat{\mathbf{j}}) \mathrm{ms}^{-2} \). Find the value of \( x \).
(a) \( 4 \mathrm{~ms}^{-2} \)
(b) \( -4 \mathrm{~ms}^{-2} \)
(c) \( -2 \mathrm{~ms}^{-2} \)
(d) \( 2 \mathrm{~ms}^{-2} \)
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