Physics, asked by adityasharmajan3137, 11 hours ago

A tube of uniform cross- section is made heavy at its bottom so that it can stand vertically in a liquid. prove that lenth of the tube in the liquid is inversely proportional to its density​

Answers

Answered by sgspari7may8
0

Let the height of the glycerin in the first arm be h

h

= 10cm=0.1m

Let the height of the water in the second arm be h

w

Density of the water = ρ

w

Density of glycerin = ρ

h

Let the level difference between the two free surfaces in the two limbs be x

Pressure at both levels is equal, therefore,

p

w

=p

h

ρ

h

gh

h

w

gh

w

h

w

=h

h

+x

ρ

h

h

h

w

h

h

w

x

x=

ρ

w

ρ

h

h

h

−ρ

w

h

h

=

1000

m

3

kg

0.1(1200

m

3

kg

−1000

m

3

kg

)

=0.002m

Therefore the level difference = 2cm

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