Question

A cork dropped into a water filled beaker floats with volume V1 representing the portion of cork above water. When it is dropped in a beaker containing corn syrup, it floats with its volume V2 (again, the portion of cork above syrup). How do these volumes compare?A. V1 = V2.B. V1 > V2.C. V1 < V2.D. V1 ≥ V2.

Answer 1

C. V1 < V2

Step-by-step explanation:

The computation is shown below:

As we know that

Byoyancy force represent the displaced water weight

`B = V_(in),_(w)P_(w)g`

`V_(in),_(w)` denotes cork volume that inside the water

`P_(w)` denotes water density

And, byoyancy force represent the displaced weight of corn syrup

`B = V_(in),_(syr)P_(syr)g`

`V_(in),_(syr)` denotes the cork volume that inside the water

`P_(syr)` denotes syrup density

Now

`P_(syr)>P_(w)\\\\V_(in),_(syr)<V_(in),_(wat)\\\\V_2>V_1 or V_1 <V_2`

Hence, the option c is correct