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Physics

Fluid-Mechanics

Easy

Question

The fraction of a floating object of volume V₀ and density d₀ above the surface of a liquid of density d will be

$\frac{d_{0}}{d}$
$\frac{d d_{0}}{d + d_{0}}$
$\frac{d - d_{0}}{d}$
$\frac{d d_{0}}{d - d_{0}}$

The correct answer is: $fraction numerator d minus d subscript 0 over denominator d end fraction$

For the floatation $V subscript 0 d subscript 0 g equals V subscript text in end text end subscript d g$
$table attributes columnalign left end attributes row cell rightwards double arrow V subscript i n end subscript equals V subscript 0 d subscript 0 over d end cell row cell therefore V subscript o u t end subscript equals V subscript 0 minus V subscript i n end subscript equals V subscript 0 minus V subscript 0 d subscript 0 over d equals V subscript 0 open square brackets fraction numerator d minus d subscript 0 over denominator d end fraction close square brackets end cell row cell rightwards double arrow V subscript o u t end subscript over V subscript 0 equals fraction numerator d minus d subscript 0 over denominator d end fraction end cell end table$

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