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Q.

A rectangular metal slab of mass 33.333 g has its length 8.0 cm, breadth 5.0 cm and thickness 1mm. The mass is measured with accuracy up to 1 mg with a sensitive balance. The length and breadth are measured withvernier calipers having a least count of 0.01 cm. The thickness is measured with a screw gauge of least count 0.01 mm. The percentage accuracy in density calculated from the above measurements is

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a

13%

b

130%

c

1.3%

d

16%

answer is C.

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Detailed Solution

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d=mv=mℓbtΔdd=Δmm+Δℓ+Δbb+Δtt=0.00133.333+0.018+0.015+0.011=0.00003+0.00125+0.002+0.01=0.013%Δdd=0.013×100=1.3%

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