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PhysicsMediumNumerical2020 · 02 Sep Shift 1

Q13.A beam of protons with speed 4 × 105 m s−1 enters a uniform magnetic field of 0. 3 T at an angle 60° to the magnetic field, the pitch of the resulting helical path of protons is close to : (Mass of the proton = 1. 67 × 10−27 kg, charge of the proton = 1. 69 × 10−19C) (1) 2 cm (2) 5 cm (3) 12 cm (4) 4 cm

What This Question Tests

This question involves calculating the pitch of the helical path of a charged particle moving in a uniform magnetic field, requiring the decomposition of velocity into components parallel and perpendicular to the field.

Concepts Tested

Lorentz forceHelical path in magnetic fieldPitch of helixComponents of velocity

Formulas Used

Pitch = v_parallel * T

T = 2πm / (qB)

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