1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# Two particles X and Y having equal charge, after being accelerated through the same potential difference enter a region of uniform magnetic field and describe circular paths of radii R1 and R2 respectively. The ratio of the mass of X to that of Y is

A
R1R2
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
B
(R2R1)2
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
C
(R1R2)2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
R2R1
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
Open in App
Solution

## The correct option is D (R1R2)2m1v21=m2v22work done on each particle =qVwhere V is potential difference and q is charge.assuming particle starts from rest.The final kinetic energy will be12m1v21=qv12m2v22=qvm1v21=m2v22let magnetic feild be B thenmagnetic force on each particle will beFm1=qV1BFm2=qV2Bm1v21R1=qBv1=m1v1=qBR1m2v22R2=qBv2=m2v2=qBR2m1(qBR1m1)2=m2(qBR2m2)2R21m1=R22m2m1m2=(R1R2)2

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Charge Motion in a Magnetic Field
PHYSICS
Watch in App
Explore more
Join BYJU'S Learning Program