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A physical quantity X is represented by ...

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 :

A

`(ax+by-cz)` per cent

B

`(ax-by-cz)` per cent

C

`(ax+by+cz)` per cent

D

`(ax-by+cz)` per cent

Text Solution

Verified by Experts

The correct Answer is:
C
`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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