JEE Advanced 2024 Physics question

PhysicsUnits and MeasurementJEE Advanced 2024

A dimensionless quantity is constructed in terms of electronic charge , permittivity of free space , Planck's constant , and speed of light . If the dimensionless quantity is written as and is a non-zero integer, then is given by

Answer: (A)

Solution

The fine-structure-type combination is dimensionless: , , , ; $[ε_0hc] = M^{0}L^{0}T^{2}A^2 =

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Question ID VK-034181