MCQ
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
  • A
    $abc = 1$
  • B
    $a = bc$
  • C
    $abc < 1$
  • Both $(A)$ and $(B)$

Answer

Correct option: D.
Both $(A)$ and $(B)$
d
$r=T=\frac{2 \pi m}{q B} a=1$

$r=\frac{m V_{1}}{q B}, b=\frac{\sin 30^{\circ}}{\sin 60^{\circ}}=\frac{1}{\sqrt{3}}$

Pitch a $v \cos 0 c=\frac{\cos 30^{\circ}}{\cos 60^{\circ}}$

So abc $=1$

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