Question

Two particles X and Y having charges q and 2q respectively, after being accelerated through the same potential difference, enter a
region of uniform magnetic field and describe circular paths of radii R and 2R, respectively. The ratio of the mass of X to that of Y is
1/2
O 1/4
8/1
1/8​

Answer 1

Answer:

Radius of circular path traced by a particle r=

Bq

mv

Kinetic energy K=

2

1

mv

2

=eV

∴ r=

Bq

m

2

v

2

=

Bq

2mK

Or r=

Bq

2meV

⟹ m∝r

2

Thus we get the ratio of masses of X to Y

m

2

m

1

=[

r

2

r

1

]