Question

If X1= 100 cm +-0.1cm and X2 = 90.0cm+-0.1cm,find their difference and the error in it

Answer 1

Given, X₁ = (100 ± 0.1) cm and X₂ = (90 ± 0.1) cm
You should understand one important thing . If we have to find error in case of subtraction of two numbers A = (a ± a₁) and B = (b ± b₁) where a₁ and b₁ are error in A and B respectively then, You should always add both the given errors .
e.g., error of (A - B) = ± (a₁ + b₁)

Hence, difference of X₁ and X₂, (X₁ - X₂) = 100 - 90 = 10 cm
error of (X₁ - X₂) = ±(0.01 + 0.01) cm = ± 0.02 cm

Hence ,(X₁ - X₂) = (10 ± 0.02) cm

Answer 2

Answer:

(10.0+-0.2)cm, here is your answer, thank you