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 ρ$$r=W1/W1$$−$$W2with$$ the maximum permissible error is

Question

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 ρ$$r=W1/W1$$−$$W2with$$ the maximum permissible error is

Infinity Learn · Accepted Answer

Relative density ρ$$r=W1W1$$−$$W2=8.008.00$$−$$6.00=4.00$$Δρrρr×$$100=$$Δ$$W1W1$$×$$100+$$Δ$$W1$$−$$W2W1$$−$$W2$$×$$100$$ $$=0.058.00$$×$$100+0.05+0.052$$×$$100=5.62$$%∴ ρ$$r=4.00$$±$$5.62$$%

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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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