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Find the dimension of the quantity (1)/(...

Find the dimension of the quantity `(1)/(4pi epsilon_(0))(e^(2))/(hc)`, the letters have their usual meaning , `epsilon_(0)` is the permitivity of free space, h, the Planck's constant and c, the velocity of light in free space.

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Dimension of `(1)/(4pi epsilon_(0))(e^(2))/(hc)=[M^(1)L^(3)T^(-4)A^(-2)]([A^(2)T^(2)])/([M^(1)L^(2)T^(-1)][L^(1)T^(-1)])=M^(0)L^(0)T^(0)`
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