An object of mass 100 g has a volume of $20 c m^{3}$ . Calculate the density of the object. If the density of water is $1 g / c m^{3}$ . State whether the object will float or sink in water.

$5.0 g / c m^{3}, s i n k$

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$2.0 g / c m^{3}, f l o a t$

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$5 g / c m^{3}, f l o a t$

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$1.0 g / c m^{3}, s i n k$

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Solution

The correct option is A
$5.0 g / c m^{3}, s i n k$

$D e n s i t y o f o b j e c t = \frac{m a s s}{v o l u m e} = \frac{100 g}{20 c m^{3}}$
$= 5 g / c m^{3}$

Since the density of water is $1 g / c m^{3}$ , the object will sink in it.

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