Question

Measure of two quantities along with the precision of respective measuring instrument isA = 2.5 ms⁻¹ ± 0.5 ms⁻¹,B = 0.10 s ± 0.01 s. The value of AB will be(a) (0.25 ± 0.08) m(b) (0.25 ± 0.5) m(c) (0.25 ± 0.05) m(d) (0.25 ± 0.135) m

Answer 1

A=3.0 or 2.0 m/s

B=0.11 or 0.09 s

For AB, there would be 4 answers

3.0x0.11 = 0.33

3.0x0.09 = 0.27

2.0x0.11 = 0.22

2.0x0.09 = 0.18

So option (a) ranges from 0.25+0.08=0.33 to 0.25-0.08=0.17 and all the above four values come under this range. All other options do not satisfy all the above four values.

For the unit, m/s x s= m