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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/cm^₃ . If the mass of the other is 48 g, its density in g/cm³ is

$\frac{4}{3}$
$\frac{3}{2}$
3
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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