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The oscillating frequency of a cyclotron is 10 MHz. If the radius of its Dees is o.5 m, the kinetic energy of a proton, which is accelerated by the cyclotron is
Options
(a) 10.2 MeV
(b) 2.55 MeV
(c) 20.4 MeV
(d) 5.1 MeV
Correct Answer:
5.1 MeV
Explanation:
qvB = mv² / r
⇒ (1/2) (mv² / e) = Kinetic energy in electron
v² = r²ω² = r².4π²v² ʋ = 10 × 10⁶ Hz = 10⁷ Hz.
Therefore, K.E. = (1/2) (mv² / e)
= (1/2) [1.673 × (0.5 × 2π × 10⁷)² / (1.6 × 10⁻¹⁹)
= 5.1 Mev
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Topics: Magnetic Effects of Current and Magnetism
(167)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- When ₉₀Th²²⁸ transforms to ₈₃Bi²¹², the number of emitted α and β particles
- A particle moves with constant speed v along a circular path of radius r and completes
- Two positive ions, each carrying a charge q, are separated by a distance d
- When the energy of the incident radiation is increased by 20%,
- A bimetallic strip consists of metals X and Y. It is mounted rigidly at the base as shown
Topics: Magnetic Effects of Current and Magnetism (167)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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