If ` Q = (X^n)/(Y^m)` and `Delta X ` is absolute error in the measurement of X, `Delta Y` is absolute error in the measurement of Y, then absolute error `Delta Q ` in Q is :

Options

A. `DeltaQ = pm (n (Delta x)/(x) + m (Deltay)/(y))`
B. `DeltaQ = pm (n (Delta x)/(x) + m (Deltay)/(y))Q`
C. `DeltaQ = pm (n (Delta x)/(x) - m (Deltay)/(y))Q`
D. `DeltaQ = pm ((nDelta x)/(x) -(m Deltay)/(y))Q`

Answer

B

Explanation

Here , maximum fraction error is :
`(Delta Q)/Q = pm (n (Delta x)/(x) + (m Delta y)/(y)) `
`therefore ` Absolute error in Q, ie.
`Delta Q = pm (n (Delta x)/(x) + (m Delta y)/(y))Q`