Question

Consider two equal volumes of liquid, one held in a tall narrow container and the other in a short wide container.

Does the linear height of the liquid in each case change by the same absolute amount for a given temperature change?

Does it change by the same percentage amount? Explain.

Answer 1

Solution:

Given equal volumes of the liquid, the heights change proportionately.

If a thin tall container is taken , its area of cross section is Less than a wide & short container.

The level of the liquid will change in accordance with its area of cross sectiom.

Level of liquid = Volume / area of cross section .

SO if it changes by a small amount x in a narrow tall container , the short wide container will also have a lesser change in its level..

Percentage change in the level will also be in accordance with the area of cross section.

change in volume / area of cross section.

More area => lesser level.