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maria [59]
3 years ago
15

A 3.0-cm-diameter tube is held upright and filled to the top with mercury. The mercury pressure at the bottom of the tube − the

pressure in excess of atmospheric pressure-is 48 kPa. How tall is the tube?
Physics
1 answer:
Lesechka [4]3 years ago
3 0

Answer:

Given a tube of diameter d, = 3cm = 0.03m

Pressure Balance

Mercury pressure at the tube bottom Pₓ = Pa + ρgh

where

Pa = Atmospheric pressure = 101kpa

ρ = Density of mercury = 13,546kg/m3

g = acceleration due to gravity

h = height of the tube?

Given

Bottom pressure in excess of the atmospheric pressure = 48kPa = Pₓ - Pa

Therefore, 48kPa = ρgh

h = 48(kN/m2)/ρg

h = 48,000kgms⁻²m⁻²/(13546kgm⁻³ x 9.81ms⁻²)

h = 0.36m

the tube is 36cm tall

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Problem 1: Two sources emit waves that are coherent, in phase, and have wavelengths of 26.0 m. Do the waves interfere constructi
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1) Destructive interference

The condition for constructive interference to occur is:

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In this problem, we have

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So let's use eq.(1) to see if the resulting m is an integer

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If we apply the same procedure to eq.(2), we find

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2) Constructive interference

In this case we have

d_1 = 91.0 m\\d_2 =221.0 m

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m=\frac{\delta }{\lambda}=\frac{130.0 m}{26.0 m}=5

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In this case we have

d_1 = 44.0 m\\d_2 =135.0 m

So the path difference is

\delta =|44.0 m-135.0 m|=91.0 m

Using the condition for constructive interference:

m=\frac{\delta }{\lambda}=\frac{91.0 m}{26.0 m}=3.5

This is not an integer, so this is not a point of constructive interference.

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m=\frac{\delta}{\lambda}-\frac{1}{2}=\frac{91.0 m}{26.0 m}-0.5=3

which is an integer: so, this point is a point of destructive interference.

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