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A particle of specific charge q / m is projected from the origin of coordinates with initial velocity $\mathrm{v_1 \hat{i}+v_2 \hat{j}}$ in space having uniform electric field and magnetic field as $\mathrm{-E \hat{j}}$ and $\mathrm{ -B \hat{j}}$ respectively. The particle will definitely return to the origin once if
Option: 1
$\mathrm{\frac{V_1 B}{\pi E}}$ is an integer

Option: 2
$\mathrm{\frac{v_2 B}{\pi E}}$ is an integer

Option: 3
$\mathrm{\frac{\sqrt{v_1^2+v_2^2} B}{\pi E}}$ is an integer

Option: 4
$\mathrm{\frac{q}{m} \frac{\sqrt{v_1^2+v_2^2} B}{\pi E}}$ is an integer

Answers (1)

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$\mathrm{\frac{V_2}{q E / m}=\frac{n \pi m}{q B}}$

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Gunjita

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