Two charged particles of mass $m$ and charge $q$ each are projected from origin simultaneously with same speed $V$ in transverse magnetic field. If ${\vec r_1}$ and ${\vec r_2}$ are the position vectors of particles (with respect to origin) at $t = \frac{{\pi m}}{{qB}}$ then the value of ${\vec r_1}.{\vec r_2}$ at that time is
Two charged particles of mass $m$ and charge $q$ each are projected from origin simultaneously with same speed $V$ in transverse magnetic field. If ${\vec r_1}$ and ${\vec r_2}$ are the position vectors of particles (with respect to origin) at $t = \frac{{\pi m}}{{qB}}$ then the value of ${\vec r_1}.{\vec r_2}$ at that time is
- A
${\left( {\frac{{mv}}{{qB}}} \right)^2}$
- B
$\frac{1}{2}{\left( {\frac{{mv}}{{qB}}} \right)^2}$
- C
$2{\left( {\frac{{mv}}{{qB}}} \right)^2}$
- D
$4{\left( {\frac{{mv}}{{qB}}} \right)^2}$
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