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Calculate the ratio of the heights to which water and mercury are raised by capillary action in the same glass tube.

$\frac{h_{\text {water }}}{h_{\text {mereury }}}=-1.63$

Physics 101 Mechanics

Chapter 11

Fluid Statics

Fluid Mechanics

Cornell University

University of Michigan - Ann Arbor

University of Winnipeg

Lectures

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Calculate the height of a …

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Explain why the height of …

00:40

The mercury level in a cap…

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Suppose water is raised by…

01:50

a. Why does a column of me…

01:08

Water rises in a glass cap…

04:04

Determine the ratio of the…

02:11

Draw diagrams showing the …

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A simple open $U$ -tube co…

04:44

Consider a U-tube whose ar…

02:33

A U-shaped tube open to th…

01:14

The shape of the meniscus …

01:21

A glass tube contains merc…

03:27

02:07

07:43

Mercury is poured into a U…

05:00

(a) How high will water ri…

so we know the height raise for water in a glass, too would be equaling. 22 times of circus tension of water multiplied by coast side of the contact angle. Four. Water divided by the density of water times the acceleration due to gravity. Times are we know that for mercury this would be equaling two times the surface tension for mercury multiplied by coast side of the contact angle from mercury divided by the density of mercury times G times are and so we can then say, um, the heights sub w divided by the height raise from mercury. This would be equaling. Essentially, we just plug in, and so we find that most of it's gonna cancel out two. Gamma said. W Coastline of status of W Divided by density ofwater times G times are and this would be multiplied by the density of mercury times. G times are divided by two times, but then the surface tension of Mercury Times Co. Sign of the contact angle for mercury. This would be equal to the surface tension of water multiplied by the density of rectory. Times Co. Sign of the contact angle for water divided by the surface tension of mercury times the density of water times Co sign of the contact angle from mercury and so the height raised. Do the capital a reaction for water divided by the high res? Do tow capital. Reaction from mercury would be equaling to a surface Tension of the water 0.0 7 to 8 Newtons per meter multiplied by the density of mercury. 13,600 kilograms per cubic meter Times this contact angle for water. Coastline of zero degrees, divided by surface Tension from mercury 0.465 Newton per meter moat divided rather by the density of water. 1000 kilograms per cubic meter multiplied by co sign of the contact angle from Mercury 140 degrees, and we find that this is equaling negative 2.78 And so we say that this ratio is equaling negative 2.78 This would be your final answer and the negative value. The negative sign from the ratio of the heights denotes that the water level is raised and mercury is down in the same glass tube. So that's essentially what that negative sign means. But this would be our final answer. That is the end of the solution. Thank you for one

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