A particle with a specific charge s is fired with a speed v towards a wall at a distance d perpendicular to the wall. What minimum magnetic field must exist in this region for the particle to not to hit the wall?
A
vsd
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B
2vsd
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C
v2sd
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D
v4s
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Solution
The correct option is Avsd Let us try to understand this problem with the help of this diagram
Let r be the radius of this circular path. So, r≤d We know that r=mvqB ⟹mvqB≤d s (specific charge) =qm So, vsB≤d ⟹vsd≤B Thus, the minimum value of B=vsd