Consider two equally-sized samples (one metallic, the other semiconductor) carrying equal currents in a uniform magnetic field. Which sample do you expect to generate a higher Hall voltage?
Electron and hole concentrations in a semiconductor are generally many orders of magnitude less than those in metals
we know hall voltage is where n is charge concentration density which is very high for metals compared to semiconductors as I- current,B - magnetic field, e - charge of electron, d- width are given same in the question, so so semiconducters generate higher hall voltage than metals
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