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Considerthe equationT=2pi sqrt((l)/(g)) and check wheter it is correct or not .

Answer»

SOLUTION :We know dimensional formulae of T `L` and g are [T], [L], `[LT^(-2)]` respectively .
`:. ` Dimensional formula of `sqrt((l)/(g))=sqrt((L)/(LT^(-2)))=sqrt(T^(2))=|T|`
Dimensional formula of left side is also [T]. As 2t is a dimensionless quantity, the dimensional formula of lefi hand side of the equation is EQUAL to dimensional formula of right hand side. HENCE we conclude that thegiven equation is a correct ONE.


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