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Velocity Selector

A particle of...

Question

A particle of charge $- 16 \times 10^{- 18}$ coulomb moving with velocity 10 m/s along the x-axis enters a region where a magnetic field of induction B is along the y-axis, and an electric field of magnitude $10^{4} V / m$ is along the negative z-axis. If the charged particle continues moving along the x-axis, the magnitude of B is

10^{- 3} W b / m^{2}

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10^{3} W b / m^{2}

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10^{5} W b / m^{2}

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10^{16} W b / m^{2}

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Solution

The correct option is B $10^{3} W b / m^{2}$
Particles is moving undeflected in the presence of both electric field as well as magnetic field. So its speed is,
$v = \frac{E}{B} \Rightarrow B = \frac{E}{v} = \frac{10^{4}}{10} = 10^{3} W b / m^{2}$ .

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