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

Options

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

A

Explanation

Let `y =AB`
`(Delta y)/(y) = (Delta A)/(A) + (Delta B)/(B)`
`y = 2.5 xx 0.1 = 0.25 `
`(Delta y)/( 0.25) = (0.5)/(2.5) + (0.01)/(0.10)`
`rArr Deltay = 0. 0 75 = 0.08 (2 SF)`