1.

An important milestone in the evolution of the universe just after the Big Bang is the Planck time t_(p), the value of which depends on three fundamental constants-speed of light in vacuum c, Gravitational constant G and Planck's constant h. Then, t_(p) prop

Answer»

`Ghc^(5)`
`(C^(5))/(GH)`
`(Gh)/(c^(5)`
`((Gh)/(c^(5)))^(1//2)`

Solution :`[Gh]= [M^(-1)L^(3)T^(-2)][ML^(2)T^(-1)]= [M^(0)L^(5)T^(-3)], [c]= [LT^(-1)]`
`:. [(Gh)/(c^(5))]^(1//2)=[ T]` HENCE, `t_(p) prop ((Gh)/(c^(5)))^(1//2) :. [t_(p)]= [T]`


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