Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A glass tube of inner radius is dipped into water and then into mercury. Water has , and a contact angle of . Mercury has , and a contact angle of . Find the rise of the water and the depression of the mercury. Take .
Surface tension is a force per length (N/m) and an energy per area (J/m²). The excess pressure is in a drop and in a soap bubble. In a tube, . By drop count, .
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Given. .
Step 1. Water. .
Step 2. Mercury. . The mercury falls by .
Check. Mercury has a surface tension about seven times that of water, but it is times as dense and its contact angle gives a factor of . So its change in level is smaller, and of the opposite sign.
Answer: water rises , and mercury falls .
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