Two identical charged particles enter a uniform magnetic field with same speed but at angles $30^o$ and $60^o$ with field. Let $a, b$ and $c$ be the ratio of their time periods, radii and pitches of the helical paths than
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$r=T=\frac{2 \pi m}{q B} a=1$
$r=\frac{m V_{1}}{q B}, b=\frac{\sin 30^{\circ}}{\sin 60^{\circ}}=\frac{1}{\sqrt{3}}$
Pitch a $v \cos 0 c=\frac{\cos 30^{\circ}}{\cos 60^{\circ}}$
So abc $=1$
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