Figure  shows tracks of three charged particles in a uniform electrostatic field. Give the signs of the three charges. Which particle has the highest charge to mass ratio?

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Opposite charges attract each other and same charges repel each other. It can be observed that particles $1$ and $2$ both move towards the positively charged plate and repel away from the negatively charged plate.

Hence, these two particles are negatively charged. It can also be observed that particle $3$ moves towards the negatively charged plate and repels away from the positively charged plate. Hence, particle $3$ is positively charged.

The charge to mass ratio $(emf)$ is directly proportional to the displacement or amount of deflection for a given velocity. since the deflection of particle $3$ is the maximum, it has the highest charge to mass ratio.

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  • [IIT 2009]