A physical quantity `x` is calculated from ` x = ab^(2)//sqrt(c )`. Calculate the percentage error in measuring `x` when the percentage errors in measuring a , b , and c are 4 , 2 , and 3%, respectively .

Options

A. `7%`
B. `9%`
C. `11%`
D. `9.5%`

Answer

D

Explanation

Here `(Delta x)/( x) xx 100 = (Delta a)/( a) xx 100 + 2 ( Delta b)/(b) xx 100 + 1//2 ( Delta c )/( c ) xx 100`
`= [ 4 + 2 xx 2 + 1//2 xx 3 ]% = 9.5%`