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.
Question 1
2021 Paper 10
4A proton and an -particle, having kinetic energies and , respectively, enter into a magnetic field at right angles. The ratio of the radii of trajectory of proton to that of -particle is . The ratio of is:Tap an option to check your answer.
Question 2
2021 Paper 11
11An 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.
Question 3
2021 Paper 20
15Two ions of masses and have charges and 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.
Question 4
14 Jun 2022
99A proton, a deuteron and an -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.
Question 5
27 Jun 2022
118A deuteron and a proton moving with equal kinetic energy enter into to a uniform magnetic field at right angle to the field. If and are the radii of their circular paths respectively, then the ratio will be where isQuestion 6
29 Jun 2022
9A 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.
Question 7
25 Jul 2022
11Two 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 and their respective masses ratio is . Then, the ratio of their charges will be :Tap an option to check your answer.
Question 8
29 Jan 2024
99Two particles and 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 and respectively. The mass ratio of and is :Tap an option to check your answer.
Question 9
9 Apr 2024
104A proton and a deutron ( ) having same kinetic energies enter a region of uniform magnetic field , moving perpendicular to . The ratio of the radius of deutron path to the radius of the proton path is:Tap an option to check your answer.
Question 10
7 Apr 2025
17A particle of charge , mass and kinetic energy 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 with ?Tap an option to check your answer.