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In an experiment for measurement of youn...

In an experiment for measurement of young's modulus, following readings are taken. Load = 3.00 kg, length = 2.820 m, diameter = 0.041 cm and extension = 0.87. We shell determine the percentage error in measurement of Y.

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If Y = Young's modulus of wire, M = mass of wire, g = acceleration due to gravity, x = extension in the wire
A = Area of cross-section of the wire, `l` = length of the wire
`Y=(Mgx)/(Al)rArr (DeltaY)/(Y)=(DeltaM)/(M)+(DeltaX)/(X)+(DeltaA)/(A)+(Deltal)/(l)`
`rArr(DeltaY)/(Y)=(0.01)/(3.00)+(0.01)/(0.87)+(2xx0.001)/(0.041)+(0.001)/(2.820)=0.064`
`rArr (DeltaY)/(Y)xx100=pm 6.4%`.
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