In: Physics
A proton (?? = +?, ?? = 1.0 u; where u = unified mass unit ≃ 1.66 × 10−27kg), a deuteron (?? = +?, ?? = 2.0 u) and an alpha particle (?? = +2?, ?? = 4.0 u) are accelerated from rest through the same potential difference ?, and then enter the same region of uniform magnetic field ?⃗⃗ , moving perpendicularly to the direction of the magnetic field.
A) What is the ratio of the proton’s kinetic energy ?? to the alpha particle’s kinetic energy ???
B) What is the ratio of the deuteron’s kinetic energy ?? to the alpha particle’s kinetic energy ???
C) If the radius of the proton’s circular orbit ?? = 10 cm, what is the radius of the deuteron’s orbit ???
D) What is the radius of the alpha particle’s orbit ???