A proton and an α-particle, having kinetic energy Kp and Kα respectively, enter into a magnetic field at right angles. The ratio of the radii of trajectory of proton to that of α-particle is 2 : 1. The ratio of Kp : Kα is
A proton and an α-particle, having kinetic energy Kp and Kα respectively, enter into a magnetic field at right angles. The ratio of the radii of trajectory of proton to that of α-particle is 2 : 1. The ratio of Kp : Kα is
Option 1 -
1:8
Option 2 -
8:1
Option 3 -
1:4
Option 4 -
4:1
Asked by Shiksha User
-
1 Answer
-
Correct Option - 4
Detailed Solution:R = mv / (qB) = √ (2mK) / (qB) ⇒ K = (R²q²B²) / (2m)
⇒ K? /Kα = (R? ²q? ²B² / 2m? ) × (2mα / (Rα²qα²B²) = (mα/m? ) × (R? /Rα)² × (q? /qα)²
⇒ K? /Kα = (4) × (2)² × (1/2)² = 4:1
Taking an Exam? Selecting a College?
Get authentic answers from experts, students and alumni that you won't find anywhere else
Sign Up on ShikshaOn Shiksha, get access to
- 65k Colleges
- 1.2k Exams
- 682k Reviews
- 1800k Answers