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Q.

A rectangular metal slab of mass 33.333 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 with vernier 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

1.6 %

d

16 %

answer is C.

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Detailed Solution

Percentage error gives percentage accuracy d=mlbhrelative error, Δdd=Δmm+Δll+Δbb+Δhh and calculate Δdd×100here, ∆m=0.001gm,∆l=0.01cm,∆b=0.01 cm,∆h=0.001cm
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