Answer:
the mass of the body is 0.02 kg.
Explanation:
Given;
relative density of the oil, [tex]\gamma _0[/tex] = 0.875
mass of the object in oil, [tex]M_o[/tex] = 0.013 kg
mass of the object in water, [tex]M_w[/tex] = 0.012 kg
let the mass of the object in air = [tex]M_a[/tex]
weight of the oil, [tex]W_0 = M_a - 0.013[/tex]
weight of the water, [tex]W_w = M_a - 0.012[/tex]
The relative density of the oil is given as;
[tex]\gamma_0 = \frac{density \ of \ oil }{density \ of \ water} = \frac{W_0}{W_w} = \frac{M_a -0.013}{M_a -0.012} \\\\0.875 = \frac{M_a -0.013}{M_a -0.012}\\\\0.875(M_a - 0.012) = M_a - 0.013\\\\0.875M_a - 0.0105 = M_a -0.013\\\\0.875M_a - M_a = 0.0105 - 0.013\\\\-0.125 M_a = -0.0025\\\\M_a = \frac{0.0025}{0.125} \\\\M_a = 0.02 \ kg[/tex]
Therefore, the mass of the body is 0.02 kg.
