1.

The dimensionalformula of the product of two physical quantities P and Q is ML^(2)T^(-2) . The dimensional formula of P/Q is ML^(0)T^(-2) . Then what are the units of physical quantities P and Q.

Answer»

SOLUTION :Given `PXXQ ` has dimensions `ML^(2)T^(-2)`
P/Q has dimensions `ML^(0)T^(-2)`
Hence (PQ) `((P)/(Q))=(ML^(2)T^(-2))(ML^(0)T^(-2))`
`P^(2)=M^(2)L^(2)T^(-4)"":. P= ML^(-1)T^(-2) = ` FORCE ..... (1)
given `(P)/(Q)= M^(1)L^(0)T^(-2),(ML^(1)T^(-2))/(Q)=ML^(0)T^(-2)`
`Q=(ML^(1)T^(-2))/(ML^(0)T^(-2))=L` = Displacement .........(2)


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