When two quantities are divided, the relative error in the result is given by

Question

When two quantities are divided, the relative error in the result is given by (A) the product of the relative error in the individual quantities (B) the quotient of the relative error in the individual quantities (C) the difference of the relative error in the individual quantities (D) the sum of the relative error in the individual quantities

Tardigrade Admin · Accepted Answer

If z = AB then (Δ z / z )=(Δ A / A )+(Δ B / B )

Q. When two quantities are divided, the relative error in the result is given by

the product of the relative error in the individual quantities

the quotient of the relative error in the individual quantities

the difference of the relative error in the individual quantities

the sum of the relative error in the individual quantities

If $z = A B$ then
$\frac{Δ z}{z} = \frac{Δ A}{A} + \frac{Δ B}{B}$

Q. When two quantities are divided, the relative error in the result is given by

the product of the relative error in the individual quantities

the quotient of the relative error in the individual quantities

the difference of the relative error in the individual quantities

the sum of the relative error in the individual quantities

If z=AB then zΔz​=AΔA​+BΔB​

If $z = A B$ then
$\frac{Δ z}{z} = \frac{Δ A}{A} + \frac{Δ B}{B}$