Two ions carry the same magnitude of charge but have different masses and with

PHYSICS · Subjective · CBSE · Physics · Electrostatic Potential and Capacitance · Electrostatic Potential and Capacitance

Problem

Two ions carry the same magnitude of charge

q

but have different masses

m_1

and

m_2

with

m_2 = 3m_1

. Each ion must be accelerated from rest to the same final speed

v

. Derive an expression for the ratio of the required potential differences

\Delta V_1/\Delta V_2

for the two ions and give its numerical value.