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An electron (mass \(9\times {10}^{-31}\mathrm{kg}\) and charge \(1.6\times {10}^{-19}\mathrm{C}\) ) moving with speed \(…

Q1

An electron (mass \(9\times {10}^{-31}\mathrm{kg}\) and charge \(1.6\times {10}^{-19}\mathrm{C}\) ) moving with speed \(c/100\) (c = speed of light) is injected into a magnetic field B of magnitude \(9\times {10}^{-4}\mathrm{T}\) perpendicular to its direction of motion. We wish to apply an uniform electric field \(\vec{E}\) together with the magnetic field so that the electron does not deflect from its path. Then (speed of light \(\mathrm{c}=3\times {10}^{8}{\mathrm{ms}}^{-1}\) )

[NEET 2025]

a

\(\vec{E}\) is parallel to \(\vec{B}\) and its magnitude is \(27\times {10}^{2}V{m}^{-1}\)

b

\(\vec{E}\) is parallel to \(\vec{B}\) and its magnitude is \(27\times {10}^{4}\mathrm{V}{\mathrm{m}}^{-1}\)

c

\(\vec{E}\) is perpendicular to \(\vec{B}\) and its magnitude is \(27\times {10}^{4}\mathrm{V}{\mathrm{m}}^{-1}\)

d

\(\vec{E}\) is perpendicular to \(\vec{B}\) and its magnitude is \(27\times {10}^{2}\mathrm{V}{\mathrm{m}}^{-1}\)

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