Question

In a particular system of units, a physical quantity can be expressed in terms of the electric charge e , electron mass m_e , Planck's constant h , and Coulomb's constant k = \(\frac{1}{4\pi{ε}_0}\) , where ε₀ is the permittivity of vacuum. In terms of these physical constants, the dimension of the magnetic field is [B] = [e]^α [m_e]^β [h]^γ [k]^δ. The value of α + β + γ + δ is _______.

Answer 1

On solving equation (1), (2), (3) and (4), we get