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asked in CBSE by (20 points)
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 ?

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The ratio of time period is 4:3


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

Time period when charge particle moving in perpendicular magnetic field

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

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