JEE Advanced 2016 Physics question

PhysicsUnits and MeasurementJEE Advanced 2016

A length-scale () depends on the permittivity () of a dielectric material, Boltzmann constant (), the absolute temperature (), the number per unit volume () of certain charged particles, and the charge () carried by each of the particles. Which of the following expression(s) for is(are) dimensionally correct?

Answer: (B),(D)

Solution

Electrostatic energy and are both energies, so has the dimension of length , and . (A) , square

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Question ID VK-026493