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Question

A proton moves with a velocity of $5 \times 10^6 \hat{\mathbf{\widehat j} m \mathrm{~m}^{-1}}$ through the uniform electric field, $\mathbf{\overrightarrow E}=4 \times 10^6[2 \hat{\mathbf{i}}+0.2 \hat{\mathbf{j}}+0.1 \hat{\mathbf{k}}] \mathrm{Vm}^{-1}$ and the uniform magnetic field $\mathbf{\overrightarrow B}=0.2[\hat{\mathbf{i}}+0.2 \hat{\mathbf{j}}+\hat{\mathbf{k}}] \mathrm{T}$. The approximate net force acting on the proton is

$25 \times 10^{-13} \mathrm{~N}$
$2.2 \times 10^{-13} \mathrm{~N}$
$20 \times 10^{-13} \mathrm{~N}$
$5 \times 10^{-13} \mathrm{~N}$

Solution

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