Physics
Fluid-Mechanics
Easy

Question

Two homogeneous solid cylinder of length from the arms of a balance. The mass of one body is 36 g and its density is 9 g/cm3 . If the mass of the other is 48 g, its density in g/cm3 is

  1. 4 over 3
  2. 3 over 2
  3. 3
  4. 5

The correct answer is: 3


    Apparent weight equals V left parenthesis rho minus sigma right parenthesis g equals m over rho left parenthesis rho minus sigma right parenthesis g
    where m= mass of the body, ρ = density of the body and density of water.
    table attributes columnalign left end attributes row cell therefore m subscript 1 over rho subscript 1 open parentheses rho subscript 1 minus sigma close parentheses g equals m subscript 2 over rho subscript 2 open parentheses rho subscript 2 minus sigma close parentheses g end cell row cell rightwards double arrow 36 over 9 left parenthesis 9 minus 1 right parenthesis equals 48 over rho subscript 2 open parentheses rho subscript 2 minus 1 close parentheses g end cell end table
    By solving we get  rho subscript 2 equals 3

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