A graduated cylinder is filled with an unknown liquid that has a density of 1.8g

Question

A graduated cylinder is filled with an unknown liquid that has a density of 1.8g/cm^3. There is initially 3 ml of this liquid. We then toss a coin into the liquid. The coin sinks to the bottom of the cup, and the volume changes to 5.8ml. What can we say about the density of the liquid compared to the coin? The density of the liquid is less than the density of the coin The density of the liquid is greater than the density of the coin. the density of the liquid is the same as the density of the coin It is impossible to tell without more information

Explanation / Answer

Here,

density of liquid , pl = 1.8 g/cm^3

Now , as the coin sinks to the bottom of the cup

the buyoant force is less than the weight of the coin

let the density of coin is p

volume of coil is V

Buyoant force < weight of coin

pl * V * g < p * V *

pl < p

hence , the correct option is

the density of liquid is less than the density of coin

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