PYQ Vault

Radius of the circular path in terms of kinetic energy: different particles or energies

This type of question, asked 10 times: 2021 Paper 10, 2021 Paper 11, 2021 Paper 20, 14 Jun 2022, 27 Jun 2022, 29 Jun 2022, 25 Jul 2022, 29 Jan 2024, 9 Apr 2024, 7 Apr 2025. All 10 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2021 Paper 10

    4
    A proton and an α\alpha-particle, having kinetic energies KpK_{p} and KαK_{\alpha}, respectively, enter into a magnetic field at right angles. The ratio of the radii of trajectory of proton to that of α\alpha-particle is 2:12:1. The ratio of Kp:KαK_{p}:K_{\alpha} is:

    Tap an option to check your answer.

  2. Question 2

    2021 Paper 11

    11
    An alpha particle and a deuteron enter a region of magnetic field which is perpendicular to their velocity. If their kinetic energies are equal, then find the ratio of their radii.

    Tap an option to check your answer.

  3. Question 3

    2021 Paper 20

    15
    Two ions of masses 4amu4amu and 16amu16amu have charges +2e+ 2e and +3e+ 3e respectively. These ions pass through the region of constant perpendicular magnetic field. The kinetic energy of both ions is same. Then:

    Tap an option to check your answer.

  4. Question 4

    14 Jun 2022

    99
    A proton, a deuteron and an α\alpha-particle with same kinetic energy enter into a uniform magnetic field at right angle to magnetic field. The ratio of the radii of their respective circular paths is:

    Tap an option to check your answer.

  5. Question 5

    27 Jun 2022

    118
    A deuteron and a proton moving with equal kinetic energy enter into to a uniform magnetic field at right angle to the field. If rdr_{d} and rpr_{p} are the radii of their circular paths respectively, then the ratio rdrp\frac{r_{d}}{r_{p}} will be x:1\sqrt{x}:1 where xx is
  6. Question 6

    29 Jun 2022

    9
    A charged particle moves along circular path in a uniform magnetic field in a cyclotron. The kinetic energy of the charged particle increases to 4 times its initial value. What will be the ratio of new radius to the original radius of circular path of the charged particle:

    Tap an option to check your answer.

  7. Question 7

    25 Jul 2022

    11
    Two charged particles, having same kinetic energy, are allowed to pass through a uniform magnetic field perpendicular to the direction of motion. If the ratio of radii of their circular paths is 6:56:5 and their respective masses ratio is 9:49:4. Then, the ratio of their charges will be :

    Tap an option to check your answer.

  8. Question 8

    29 Jan 2024

    99
    Two particles XX and YY having equal charges are being accelerated through the same potential difference. Thereafter they enter normally in a region of uniform magnetic field and describes circular paths of radii R1R_{1} and R2R_{2} respectively. The mass ratio of XX and YY is :

    Tap an option to check your answer.

  9. Question 9

    9 Apr 2024

    104
    A proton and a deutron ( q=+e,m=2.0uq = + e,m= 2.0u ) having same kinetic energies enter a region of uniform magnetic field B→\overrightarrow{B}, moving perpendicular to B→\overrightarrow{B}. The ratio of the radius rdr_{d} of deutron path to the radius rpr_{p} of the proton path is:

    Tap an option to check your answer.

  10. Question 10

    7 Apr 2025

    17
    A particle of charge qq, mass mm and kinetic energy EE enters in magnetic field perpendicular to its velocity and undergoes a circular arc of radius(r). Which of the following curves represents the variation of rr with EE ?

    Tap an option to check your answer.