A physical quantity Y is expressed as `Y= (p^2)/(r )((q)/(sqrt(s)))^3`
If the percentage error in the measurement of p,q,r and s are 4%, 2%, 1% and 3% respectively, caluclate the percentage error in Y.

Options

A. `2%`
B. `8%`
C. `15%`
D. Without the value of the constant a, the percentage of error cannot be calculated

Answer

B

Explanation

`z=ax^2 y^(1//2)`
`implies x^2 =z/(ay^(1//2))implies 2 (Deltax)/x =(Deltaz)/z+1/2(Deltay)/y`
`implies (Deltax)/x =1/2[10+1/2xx12]=8%`