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Question:

A proton travels a short distance in an electric field, then it enters a crossed magnetic field of 1 T and radius 0.2 m. Find the velocity of the proton.

0.2×10⁸ms⁻¹

2×10⁸ms⁻¹

0.2×10⁷ms⁻¹

0.2×10⁶ms⁻¹

Solution:

The proton follows a circular path in the presence of magnetic field B. Hence the centripetal force is given by the magnetic force.
⇒ mv²/r = qvB
⇒ v = qBr/m = (1.6×10⁻¹⁹)(1)(0.2)/(1.67×10⁻²⁷) = 0.2×10⁸ m/s