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` and `gamma` respectively. Then maximum percentage error in the quantity `X` is
A. `a" "alpha+b" "beta+c" "gamma`
B. `a" "alpha+b" "beta-c" "gamma`
C. `(a)/(alpha)+(b)/(beta)+(c)/(gamma)`
D. None of these

Answer 1

Correct Answer - A
`X=["M"^(a)"L"^(b)"T"^(c)]`
Maximum % error in `X=a" "alpha+b" "beta+c" "gamma`