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. 0.07
B. 0.09
C. 0.11
D. 0.095

Answer

D

Explanation

`(Deltax)/x xx100 =(Deltaa)/axx100+(2Deltab)/bxx100+1/2(Deltac)/cxx100," "[4+2xx2=1/2xx3]%=9.5%`