A charged particle of charge e and mass m is moving in an electric field E and magnetic field B. Construct dimensionless quantities and quantities of dimension [T ] –1 .

Question

Philoid · Accepted Answer

The quantities provided are charge, electric field and magnetic field. Using these three we can never eliminate the units to unity. Hence, there is no such constructible dimensionless quantity.

[T]^-1 is the dimension of frequency.

The time period of a cyclotron is,

Hence the frequency is going to be,

This is the [T]^-1 quantity.

A charged particle of charge e and mass m is moving in an electric field E and magnetic field B. Construct dimensionless quantities and quantities of dimension [T ]–1.

A charged particle of charge e and mass m is moving in an electric field E and magnetic field B. Construct dimensionless quantities and quantities of dimension [T ]^–1.