• # question_answer Two particles having the same specific charge (q/m) enter a uniform magnetic field with the same speed but an angles of $30{}^\circ$ and $60{}^\circ$ with the field. Let a, b and c be ratios of their pitches, radii and periods of their paths respectively, then- A) $a+b=2\sqrt{c}$          B) $abc=1$ C) ${{a}^{2}}=c$                       D) $a{{b}^{2}}=c$

[B] $T=\frac{2\pi m}{qB},$ $p=\frac{2\pi m}{qB}v\cos \theta ,$ $R=\frac{mv\sin \theta }{qB}$ $a=\frac{\cos {{\theta }_{1}}}{\cos {{\theta }_{2}}},$ $b=\frac{\sin {{\theta }_{1}}}{\sin {{\theta }_{2}}},$$c=1$ $a=\sqrt{3},$ $b=\frac{1}{\sqrt{3}},$ $c=1.$