Magnetic field due to currentHard

Question

Two identical charged particles enter a uniform magnetic field with same speed but at angles 30o and 60o with field. Let a, b and c be the ratio of their time periods, radii and pitches of the helical paths than

Options

A.abc = 1   
B.abc > 1   
C.abc < 1   
D.a = bc

Solution

a =
b = = tan 30o
c = vB × T = = tan 60o
∴ bc = 1 = a ⇒ abc = 1

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