Question

A physical quantity is given by `X=[M^(a)L^(b)T^(c)]`. The percentage error in measurement of `M,L` and `T` are `alpha, beta, gamma` respectively. Then the maximum % error in the quantity `X` is
A. `(alpha +betab+gammac)%`
B. `(alpha-betab+gammac)%`
C. `(alphaa-betab-gammac)%`
D. None of these

Answer 1

`(DeltaX)/(X)=a(DeltaM)/(M)+b(DeltaL)/(L)+c(DeltaT)/(T)`
`=a alpha% + b beta%+c gamma%`
`(DeltaX)/(X)=(a alpha+b beta+c gamma)%`