A physical quantity `X` is represented by `X = (M^(x) L^(-y) T^(-z)`. The maximum percantage 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. `(alpha a + beta b - gamma c)`
B. `(alpha a + beta b + gamma c)`
C. `(alpha a - beta b + gamma c)`
D. Zero

Answer

b

Explanation

`(Delta x)/(x) xx 100 = a(Delta M)/(M) xx 100 + b(Delta L)/(L)xx 100 + c (Delta T)/(T) xx 100`
`= a alpha + b beta + c gamma`