A physical quantity A is related to four observable a,b,c and d as follows, `A=(a^2b^3)/(csqrtd)`, the percentage errors of measurement is a,b,c and d,are `1%`,`3%`,`2%` and `2%` respectively. What is the percentage error in the quantity A?

Options

A. `12 %`
B. `7%`
C. `5%`
D. `14%`

Answer

D

Explanation

Percentage error in
`A=(2(Delta a)/(a)+3(Delta b)/(b)+(Delta c)/(c)+(1)/(2)(Deltad)/(d))xx100%`
`=(2xx1)+(3xx3)+2+((1)/(2)xx2)`
`=2+9+2+1`
`14%`.