An experiment from `X = (a^(1//2) b^(2))/( c^(3))` . If the percentage errors in ` a, b , and c are +- 1% , +- 3% , and +- 2%` , respectively , then the percentage error in `X` can be

Options

A. `+-12.5%`
B. `+-7%`
C. `+-1%`
D. `+-4%`

Answer

A

Explanation

`X=(a^(2)b^(2))/(c^(3)),(Deltax)/x=1/2(Deltaa)/a+(2Deltab)/b+(3Deltac)/c=1/2+2xx3+3xx2=12.5%`