An electron ( , ) is projected with speed at an angle of to a uniform magnetic field…

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Magnetism and Electromagnetism · Magnetism and Electromagnetism

Problem

An electron (m=9.1×10−31 kgm = 9.1 \times 10^{-31}\,\text{kg}, ∣q∣=1.6×10−19 C|q| = 1.6 \times 10^{-19}\,\text{C}) is projected with speed 3.0×107 m s−13.0 \times 10^{7}\,\text{m\,s}^{-1} at an angle of 30∘30^{\circ} to a uniform magnetic field of magnitude 0.010 T0.010\,\text{T} that runs along the field lines. What distance does the electron travel parallel to the field during one complete revolution about the field lines (pitch of the helical path)? (a) 0.107 m0.107\,\text{m} (b) 0.054 m0.054\,\text{m} (c) 0.093 m0.093\,\text{m} (d) 0.047 m0.047\,\text{m}

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