1.

A physical quantity is measured as Q = (2.1 ± 0.5) units. Calculate the percentage error in (1) Q^(2) (2) 2Q.

Answer»

Solution :`P=Q^(2)`
`(Deltap)/(p)=(2DeltaQ)/(Q)=2((0.5)/(2.1))=(1.0)/(2.1)=0.476`
`(Deltap)/(p)xx100%=47.6%=48%`
`R=2Q`
`(DeltaR)/(R)=(DeltaQ)/(Q)implies(0.5)/(2.1)=0.238`
`(DeltaR)/(R)xx100%=24%`


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