| Two nucleus are projected in a region of magnetic field B, such that their velocity vectors v are parallel as shown below. |
 |
| Now, choose the correct option. |
A) Trajectories of isobars are similar circles
B) Trajectories are always similar helix
C) Trajectories of isobars are similar helix
D) Heavier isotope traces a helix of larger radius
Correct Answer: D
Solution :
| Velocity of nucleus can be resolved into parallel and perpendicular components. |
| Due to parallel component nucleus moves in direction of B and due to perpendicular component, it rotates in circular path. |
| Radius of circular path, \[r=\frac{m{{v}_{\bot }}}{Bq}\]\[\Rightarrow \]\[r\propto m\] |
| and pitch of helix, \[p=\frac{2\pi m}{Bq}\cdot {{v}_{||}}\]\[\Rightarrow \]\[p\propto m\] |
| As, both isotopes have same charge q, heavier traces a path with larger radius and larger pitch. |
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