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 A proton, a deutron and an α-particle having the same kinetic energy are moving in a circular trajectories in a constant magnetic field. If rp , rd and rα denote, respectively the radii of the trajectories of these particles, then

  • a)
    rα=rp = rd

  • b)
    rα> rd > rp​

  • c)
    rα=rp < rd

  • d)
    rα=rd > rp

Correct answer is option 'C'. Can you explain this answer?
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I believe you are referring to a proton, a deuteron, and an alpha particle. These are all fundamental particles found in the nucleus of an atom.

1. Proton: A proton is a positively charged subatomic particle found in the nucleus of an atom. It has a charge of +1 and a relative mass of approximately 1 atomic mass unit. Protons are essential for determining the identity of an element as they define the atomic number.

2. Deuteron: A deuteron is a nucleus of a deuterium atom, which is an isotope of hydrogen. It consists of one proton and one neutron, making it heavier than a regular hydrogen nucleus. Deuterons have a charge of +1 and a relative mass of approximately 2 atomic mass units.

3. Alpha Particle: An alpha particle is a helium nucleus consisting of two protons and two neutrons. It has a charge of +2 and a relative mass of approximately 4 atomic mass units. Alpha particles are commonly emitted during certain types of radioactive decay and are highly energetic.

These particles play significant roles in nuclear physics, chemistry, and various applications in fields such as healthcare and energy production.
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A proton, a deutron and an α-particle having the same kinetic energy are moving in a circular trajectories in a constant magnetic field. If rp, rdand rαdenote, respectively the radii of the trajectories of these particles, thena)rα=rp= rdb)rα> rd> rpc)rα=rp< rdd)rα=rd> rpCorrect answer is option 'C'. Can you explain this answer?
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