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The relative density of material of a body is found by weighing it first in air and then in water. If the weight in air is (5.00±0.05) Newton and weight in water is (4.00±0.05) Newton. Then the relative density along with the maximum permissible percentage error is

a
5.0±11%
b
5.0±2%
c
5.0±6%
d
1.25±5%

detailed solution

Correct option is A

Weight in air=(5.00±0.05)NWeight in water =(4.00±0.05)NLoss of weight in water =(1.00±0.1)NNow relative density = weight in air  weight loss in water R.D=5.00±0.051.00±0.1Now relative density with max permissible errorMean Value of RD=5.001.00=5.0 Percentage error in RD=0.055.00+0.11.00×100=11% ∴RD=5.0±11%

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