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Measure of two quantites along with the ...

Measure of two quantites along with the precision of respective measuring instrument is `A = 2.5 ms^(-1) +- 0.5 ms^(-1)`
`B = 0.10 s +- 0.01s` 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

Text Solution

Verified by Experts

The correct Answer is:
A
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)`
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