1.

A physical quantity X is represented by x=(M^(x)L^(-y)T^(-z)). The maximum percentage errors in the measurement of M,L and T respectively are a%, b% and c%. The maximum percentage error in the measurement of X will be :

Answer»

`(ax+by-cz)` PER cent
`(ax-by-cz)` per cent
`(ax+by+cz)` per cent
`(ax-by+cz)` per cent

Solution :`X=M^(x)L^(-y)T^(-Z)`
`:.(DeltaX)/(X)xx100=x((DeltaM)/(M)xx100)+y((DeltaL)/(L)xx100)`
`+z((DELTAT)/(T)xx100)`
( Errors are ALWAYS added)
`:.(DeltaX)/(X)xx100=(ax+by+cz)` per cent
Hence correct CHOICE is `(c )`.


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