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⚛️ Physics  ·  Moving Charges and Magnetism  ·  NEET & JEE

A proton moves in a 0.5 T magnetic field. Its cyclotron frequency is (e = 1.6 &times; 10<sup>-19</sup>, m<sub>p</sub> = 1.67 &times; 10<sup>-27</sup>):

Answer: 7.6 MHz.

  • A 3.8 MHz
  • B 7.6 MHz
  • C 15.2 MHz
  • D 1.9 MHz

Correct answer: B. 7.6 MHz

Explanation: f = qB/(2&pi;m) = (1.6 &times; 10<sup>-19</sup> &times; 0.5)/(2&pi; &times; 1.67 &times; 10<sup>-27</sup>) &asymp; 7.6 &times; 10<sup>6</sup> Hz = 7.6 MHz.

Magnetic Field Lines Around a Straight WireIfield forms concentric circles around the wire (right-hand rule)

The magnetic field around a long straight current-carrying wire forms concentric circles, with direction given by the right-hand rule (point thumb along I, fingers curl in the direction of B).

Concept context

Magnetic force on moving charges and currents, the Biot-Savart law, Ampere's law, and the cyclotron - how electric currents create and respond to magnetic fields.

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