Air flows through a pipe at a rate of 124 L/s. The pipe consists of two sections of diameters 22 cm and 10 cm with a smooth reducing section that connects them. The pressure difference between the two pipe sections is measured by a water manometer.
Neglecting frictional effects, determine the differential height of water between the two pipe sections. Take the air density to be 1.20 kg/m^3.

Complete Question

The diagram for this question is shown on the first uploaded image

The differential height is  

Explanation:

The schematic diagram of the venturimeter is shown on the second uploaded image

   The continuity equation is mathematically given as

Where A is the area

            is the flow rate

          is the velocity

At  the inlet making v the subject to obtain the inlet velocity we have

Substituting  124 L/s  = for and   given that

              So      

At the exit point the velocity is  

Where   given that    

   So              

The Bernoulli's  flow equation between the inlet and exist   is mathematically given as

  And

Where is the pressure at inlet

              is the pressure at exist

              is the density of water with value of

             g is acceleration due to gravity

              h is the height of the water column

making h the subject in the equation 2

where   is the density of air given in the question

         Substituting value

that tool is called an altimeter which measures your altitude which can be used to tell which atmosphere you are currently in, including the stratosphere.

hope this ! : )