1.

A body of density d is conuterpoised by Mg of weights of density `d_1` in air of density d. Then the true mass of the body isA. MB. `M (1-(d)/(2))`C. `M (1 - (d)/(d_1))`D. `(M(1 - d//d_2))/((1- d//d_1))`

Answer» Correct Answer - D
(d) Let `M_0 =` mass of body in vacuum. Apperent weight of the body in air =Apparent weight of standerd weight in air `rArr` Actual weight - upthrust due to displaced air = Actual weight - upthrust due to displaced air
`rArr M_0g - ((M_0)/(d_1))dg = Mg -((M)/(d_2))dg`
`rArr M_0 = (M[(1-(d)/(d_2)])/([1 -(d)/(d_1)])`


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