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You measure two quantities as A=1.0m+-0....

You measure two quantities as `A=1.0m+-0.2m`,`B=2.0m+-0.2m`. We should report correct value for `sqrt(AB)` as

A

`1.4 +- 0.4m`

B

`1.41m +- 0.15m`

C

`1.4 +- 0.3m`

D

`1.4 +- 0.2m`

Text Solution

Verified by Experts

The correct Answer is:
D
`Y = sqrt(AB) = sqrt((1.0)(2.0)) = 1.414m`
`(Delta y)/(y) = (1)/(2) [(DeltaA)/(A) + (DeltaB)/(B)] = (1)/(2) [(0.2)/(10) + (0.2)/(2.0)] = (0.6)/(2xx2.0)`
Rounding off to one significant digit `Delta y = 0.2m`
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