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Q.

The radius of the circular path or helical path followed by the test charge qo moving in magnetic field B with some velocity v is

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a

mvsin⁡θq0B

b

mvcos⁡θq0B

c

mvq0B

d

mvtan⁡θq0B

answer is A.

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Detailed Solution

The circular motion of charged particle will be due to component of velocity v perpendicular to magnetic field, i.e., v sinθ∴ m(vsin⁡θ)2r=q0(vsin⁡θ)Bor r=m(vsin⁡θ)q0B
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The radius of the circular path or helical path followed by the test charge qo moving in magnetic field B with some velocity v is