1.

The dimension of the quantity (1)/(epsilon_(0)) (e^(2))/(hc)is (e = charge of electron, h = Planck's constant and c = velocity of light)

Answer»

`[M^(-1)L^(-3)T^(2)A]`
`[M^(0)L^(0)T^(0)A^(0)]`
`[ML^(3)T^(-4)A^(-2)]`
`[M^(-1)L^(-3)T^(4)A^(2)]`

Solution :`["Energy"]= [(hc)/(LAMBDA)]`
or `[hc]= ["energy"][lambda]= ["force"]["distance"]^(2)`
Also,`["force"]= ([e^(2)])/[(epsilon_(0))["Distance"]^(2)` or `([e^(2)])/([epsilon_(0)])= ["force"]["distance"]^(2)`
`:. [hc]= ([e^(2)])/([epsilon_(0)])` or `[(e^(2))/(epsilon_(0)). (1)/(hc)]= [M^(0)L^(0)T^(0)A^(0)]`


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