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

Options

A. `( ax + by - cz)%`
B. `( ax - by - cz)%`
C. `( ax + by + cz)%`
D. `( ax - by + cz)%`

Answer

C

Explanation

` X = M^(x) L^(-y) T^(-z)`
:. `(Delta X)/( X) xx 100 = x(( Delta M)/(M) xx 100) + y (( Delta L) /(L) xx 100) + z(( Delta T)/(T) xx 100)`, (errors are always added)
:. ` = ( ax + by + cz)` percent