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Consider the equation T = 2pi sqrt(l/g) and check whether it is correct or not. |
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Answer» SOLUTION :We know, dimensional. Formulae of T, l and g are `[T], [L], [LT^(-2) ]` respectively. `THEREFORE` Dimensional formula of `sqrt((l)/( g)) = sqrt((L)/( LT^(-2) ) )= sqrt(T^(-2) ) = [T]` Dimensional formula of LEFT side is also `[T]`. As `2pi` is a dimensionless QUANTITY, the dimensional formula of left hand side of the equation is equal to dimensional formula of right hand side. Hence we conclude that the given equation is a CORRECT one. |
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