Single correct option
A proton accelerated from rest through a potential difference enters a uniform magnetic field perpendicular to its velocity and moves on a circle of radius . In List-I a different particle (alpha particle: mass , charge ; deuteron: mass , charge ) enters the same field under the stated condition. Match the ratio of its orbit radius to with List-II.
List-I: (P) alpha particle accelerated through the same ; (Q) deuteron with the same speed as the proton; (R) alpha particle with the same momentum as the proton; (S) alpha particle with the same kinetic energy as the proton.
List-II: (1) ; (2) ; (3) ; (4) ; (5) .
List-I: (P) alpha particle accelerated through the same ; (Q) deuteron with the same speed as the proton; (R) alpha particle with the same momentum as the proton; (S) alpha particle with the same kinetic energy as the proton.
List-II: (1) ; (2) ; (3) ; (4) ; (5) .
- A. P→2, Q→4, R→1, S→3
- B. P→3, Q→4, R→2, S→1
- C. P→3, Q→4, R→1, S→2
- D. P→3, Q→2, R→1, S→4
Show answer and solution
Answer: (C) P→3, Q→4, R→1, S→2
Radius . (P) , so : ratio (3). (Q) Same speed: , ratio (4). (R) Same momentum: , ratio (1). (S) Same : , ratio (2). So P→3, Q→4, R→1, S→2.
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