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Floating and Sinking

Loaded test-t...

Question

Loaded test-tube placed in pure milk sinks to a certain mark (M). Now some water is mixed with the milk. Will the test tube sink more or less?

A

Sink More

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B

Float More

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C

Sink less

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D

Float less

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Solution

The correct option is D Sink More
According to Archimedes' principle, Buoyancy force is given $F_{B} = V ρ g$
where, $V$ = volume of immersed object,
$ρ$ = density of fluid and
$g$ = acceleration due to gravity
As density of milk is higher than the density of water. When some water is mixed with milk, then mixture will have lesser density than pure milk. Hence it will exert less amount of buoyant force. Consequently test tube will sink more.

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