Q. 185.0( 2 Votes )

# 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}.

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.

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