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Helical path of a charged particle: shape and pitch

This type of question, asked 3 times: 6 Apr 2023, 8 Apr 2023, 8 Apr 2026 S2. All 3 questions below, oldest first.

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  1. Question 1

    6 Apr 2023

    120
    A proton with a kinetic energy of 2.0eV2.0eV moves into a region of uniform magnetic field of magnitude π2×10−3 T\frac{\pi}{2}\times10^{- 3}\text{ }T. The angle between the direction of magnetic field and velocity of proton is 60∘60^{\circ}. The pitch of the helical path taken by the proton is___ cmcm. (Take, mass of proton =1.6×10−27 kg= 1.6 \times10^{- 27}\text{ }kg and Charge on proton =1.6×10−19C= 1.6 \times10^{- 19}C ).

  2. Question 2

    8 Apr 2023

    1
    A charge particle moving in magnetic field BB, has the components of velocity along BB as well as perpendicular to BB. The path of the charge particle will be

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  3. Question 3

    8 Apr 2026 S2

    23
    A 5 mg particle carrying a charge of 5π×10−6C5\pi \times 10^{- 6}C is moving with velocity of (3i^+2k^)×10−2 m/s(3\widehat{i} + 2\widehat{k}) \times 10^{- 2}\text{ }m/s in a region having magnetic field B→=0.1k^Wb/m2\overrightarrow{B} = 0.1\widehat{k}Wb/m^{2}. It moves a distance of α\alpha meter along k^\widehat{k} when it completes 5 revolutions. The value of α\alpha is ____\_\_\_\_ .