Question

Two charge particles having charges q and 2q are moving perpendicular to uniform magnetic field. If the ratio of their masses is 2:3 the ratio of time period T1:T2 ?

Answer 1

The ratio of time period is 4:3

Explanation:

The time for the charged particle to go around the circular path is the period.
T = Circumference/Speed

Where r is radius of curvature of the moving charge q,
m is the mass and
v is the velocity of the charged particle and
B is magnetic field.

T₁/ T₂ = (2πm₁/q₁B) / (2πm₂/q₂ B) = m₁q₂ / m₂q₁ = 2 x 2 / 3x1 = 4 : 3