If `X = a + b` , the maximum percentage error in the measurement of `X` will be

Options

A. `((Delta a)/(a) + (Delta b)/(b)) xx 100%`
B. `((Delta a)/(a + b) - (Delta b)/(a +b)) xx 100%`
C. `((Delta a)/(a + b) + (Delta b)/(a + b)) xx 100%`
D. `((Delta a)/(a) xx (Delta b)/(b)) xx 100%`

Answer

C

Explanation

`X = a + b rArr Delta X = Delta a + Delta b`
Now `(Delta X)/( X) xx 100 = ((Delta a + Delta b))/( a + b) xx 100 `
`= (( Delta a )/( a + b) + ( Delta b)/( a+ b)) xx 100`