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The radius of a cylindrical wire is measured by screw gauge is 1.25 mm. The length of wire is 25.0 cm and the mass of wire is 12 g. The density of wire is

a
(9.8±1.0)gcm-3
b
(9.8±1.01267)gcm-3
c
(9.8±0.1)gcm-3
d
(9.80±0.01)gcm-3

detailed solution

Correct option is A

Density, ρ= Mass  Volume =mπr2l=123.14×1.25×10-12×25.0=9.8gcm-3ρ=mπr2lΔρρ=Δmm+2Δrr+ΔllΔρ=112+2×0.01125+0125.0×9.8=1.0ρ=(9.8±1.0)gcm-1

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