Q. 85.0( 1 Vote )

Two ions have equal masses but one is singly ionized and the other is doubly ionized. They are projected from the same place in a uniform magnetic field with the same velocity perpendicular to the field.A. Both ions will go along circles of equal radii.B. The circle described by the singly ionized charge will have a radius double that of the other circle.C. The two circles do not touch each other.D. The two circles touch each other.

Answer :

Formula used: Radius of the orbit of a particle is given by

Where r is radius of the orbit

m is mass

v is velocity

q is electric charge

B is electric field

Radius r is inversely proportional to the charge. So singly ionized charge will have a double radius than doubly ionized charge. And both the charges are projected from the same place. So they will touch each other at the beginning. So options B and D are correct.

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