Question

Measure of two quantities along with the precisionof respective measuring instrument is :-
$A=2.5m/s\pm 0.5m/s$
$B=0.10s\pm 0.01m/s$
The value of AB will be :-

• A. $(0.25\pm 0.08)m$
• B. $(0.25\pm 0.5)m$
• C. $(0.25\pm 0.05)m$
• D. $(0.25\pm 0.135)m$

Answer 1

The correct option is A $(0.25\pm 0.08)m$

Let $\gamma =AB\therefore \frac{\Delta \gamma }{\gamma }=\frac{\Delta A}{A}+\frac{\Delta B}{B}$
$\therefore \frac{\Delta \gamma }{0.25}=\frac{0.5}{2.5}+\frac{0.01}{0.10}\therefore \Delta \gamma =0.075\approx 0.08$