A particle of specific charge $(q/m)$ is projected from the origin of coordinates with initial velocity $[ui - vj]$. Uniform electric magnetic fields exist in the region along the $+y$ direction, of magnitude $E$ and $B.$ The particle will definitely return to the origin once if
A particle of specific charge $(q/m)$ is projected from the origin of coordinates with initial velocity $[ui - vj]$. Uniform electric magnetic fields exist in the region along the $+y$ direction, of magnitude $E$ and $B.$ The particle will definitely return to the origin once if
- A
$[vB /2\pi E]$ is an integer
- B
$(u^2 + v^2)^{1/2} [B / \pi E]$ is an integer
- C
$[vB / \pi E]$ in an integer
- D
$[uB/ \pi E]$ is an integer
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- [JEE MAIN 2023]
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