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 E_0}, where E_0 is the permittivity of vacuum. In terms of these physical constants, the dimension of the magnetic field is [B]=[e]^\alpha[m_e]^\beta[h]^\gamma[k]^\delta. The value of \alpha+\beta+\gamma+\delta is [JEE Adv 2022 P2]

Units and Measurements

Section: Physics

Question : 9 of 34

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In a particular system of units, a physical quantity can be expressed in terms of the electric charge e, electron mass me, Planck's constant h, and Coulomb's constant k=‌

4πE0

, where E0 is the permittivity of vacuum. In terms of these physical constants, the dimension of the magnetic field is [B]=[e]α[me]β[h]γ[k]δ. The value of α+β+γ+δ is

[JEE Adv 2022 P2]

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