Question
A physical quantity $\text{X}=\frac{\text{a}^2\text{b}^{\frac{-3}{2}}}{\text{c}^4}$ A student says that the relative error in $2\frac{\Delta\text{a}}{\text{a}}-\frac{3}{2}\frac{\Delta\text{b}}{\text{b}}-4\frac{\Delta\text{c}}{\text{c}}.$ Do you agree with the student? If not, what is the relative error in X?

Answer

Errors are always additive. Therefore, the relative error in:
$\text{X}=2\frac{\Delta\text{a}}{\text{a}}-\frac{3}{2}\frac{\Delta\text{b}}{\text{b}}-4\frac{\Delta\text{c}}{\text{c}}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free