A beam of singly charged ions enters a region where a uniform electric field ( E ) is…

PHYSICS · Single correct · CBSE · Physics · Moving Charges and Magnetism · Moving Charges and Magnetism

Problem

A beam of singly charged ions enters a region where a uniform electric field E⃗\vec E is perpendicular to a uniform magnetic field B⃗\vec B. The two fields extend over the same region. For the ions to pass through without deflection, which one of the following relations (in magnitude) must hold, where vv is the speed of the ions? (a) qE=2 qvBqE = 2\,qvB (b) v=E2Bv=\dfrac{E}{2B} (c) qE=qvBqE = qvB (d) qE=qvB sin⁡30∘qE = qvB\,\sin 30^{\circ}

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