A particle of mass $m$ and charge $q$ enters a region of magnetic field (as shown) with speed $v$. There is a region in which the magnetic field is absent, as shown. The particle after entering the region collides elas tically with a rigid wall. Time after which the velocity of particle becomes anti parallel to its initial velocity is
A particle of mass $m$ and charge $q$ enters a region of magnetic field (as shown) with speed $v$. There is a region in which the magnetic field is absent, as shown. The particle after entering the region collides elas tically with a rigid wall. Time after which the velocity of particle becomes anti parallel to its initial velocity is
- A
$\frac{m}{{2qB}}\left( {\pi + 4} \right)$
- B
$\frac{m}{{qB}}\left( {\pi + 2} \right)$
- C
$\frac{m}{{4qB}}\left( {\pi + 2} \right)$
- D
$\frac{m}{{4qB}}\left( {2\pi + 3} \right)$
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- [JEE MAIN 2013]