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Q.

The relative density of a material of a body is found by weighing it first in air and then in water. If the weight of the body in air is W1=8.00±0.05N and the weight in water is W2=6.00±0.05N, then the relative density ρr=W1/W1−W2with the maximum permissible error is

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a

4.00±0.62%

b

4.00±0.82%

c

4.00±3.2%

d

4.00±5.62%

answer is D.

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Detailed Solution

Relative density ρr=W1W1−W2=8.008.00−6.00=4.00Δρrρr×100=ΔW1W1×100+ΔW1−W2W1−W2×100 =0.058.00×100+0.05+0.052×100=5.62%∴ ρr=4.00±5.62%

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