one arm of a u shaped tube contains water and the other alcohol. if the two fluids meet exactly at the bottom of the U and the alcohol is at a height of 18 cm at what height will water be

Complete Question

One arm of a U-shaped tube (open at both ends) contains water, and the other alcohol.

If the two fluids meet at exactly the bottom of the U, and the alcohol is at a height of 18 cm, at what height will the water be?Assume the density of alcohol is

The  height of water is  

Explanation:

From the question we are told that

    The height of the alcohol is  

     The  density of the alcohol is  

Generally the pressure on both arm of the tube are equal given that they are both open

i,e    

Where   is pressure of alcohol and   is pressure of water

   So the pressure on the arm of the tube containing the alcohol is mathematically evaluated as

substituting values

Generally the pressure on the arm of the tube containing the water is mathematically evaluated as

where   is the density of water which has  a value

So  

=>    

=>