Physics Asked by Sooraj Krishna on February 26, 2021
2 diffrent liquids in a u shaped tube can have height difference at equilibrium but when I try to analyse the pressure at the same level of c,on the surface of more denser liquid there is only atmospheric pressure but on the other hand the less denser liquid have both the atmospheric pressure and the pressure due to the column of liquid above it,so they are not same but they must be.where am I getting wrong?
so they are not same but they must be.where am I getting wrong?
Why 'must they be the same'?
We can ignore the part below $A$ and $B$ in the semi-circular part of the tube.
Now, to have equilibrium (no movement) we must have the following balance of forces:
$$|CB|Arho_R g=(|AC|+|CD|)Arho_L g$$
Or:
$$|CB|rho_R=(|AC|+|CD|)rho_L$$
The pressure at the left hand point $C$ is given by Pascal's Law:
$$p_C=p_0+rho_L g |CD|$$
So these pressures don't have to be same and they aren't.
Answered by Gert on February 26, 2021
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