Measure of two quantities along with the precision of respective measuring instrument is A = 2.5 ms^(-1) + 0.5 ms^(-1) B = 0.10 s +- 0.01 s . The value of AB will be

Measure of two quantities along with the precision of respective measu

1.	Measure of two quantities along with the precision of respective measuring instrument is A = 2.5 ms^(-1) + 0.5 ms^(-1) B = 0.10 s +- 0.01 s . The value of AB will be
Answer» `(0.25+-0.08)m` `(0.25+-0.5)m` `(0.25+-0.05)` `(0.25+-0.135)` SOLUTION :Given `A=(2.5+-0.5) ms^(-1), B=(0.10s+-0.01)`s `x=AB=(2.5)(0.10)=0.25 m` `(DELTAX)/(x)=(DeltaA)/(A)+(DeltaB)/(B)` `=(0.5)/(2.5)+(0.01)/(0.10)=(0.05+0.025)/(0.25)(0.075)/(0.25)` `Deltax=0.075=0.08` m (By rounding off to two SIGNIFICANT figures) `AB=(0.25+-0.08)m`