The cylindrical tube of a spray pump has radius R, one end of which has n fine holes, each of radius r. if the speed of the liquid in the tube is v, the speed of the ejection of the liquid through the holes is from Physics Units and Measurement Class 11 Manipur Board
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The cylindrical tube of a spray pump has radius R, one end of which has n fine holes, each of radius r. if the speed of the liquid in the tube is v, the speed of the ejection of the liquid through the holes is

  • vR2/n2r2

  • vR2/nr2

  • vR2/n3r2

  • v2R/nr


B.

vR2/nr2

During the streamline of viscous and incompressible fluid through a pipe varying cross -section, the product of the area of cross section and normal fluid velocity (Av) remains constant throughout the flow.

Consider a cylindrical tube of a spray pump has radius R, one end having n fine holes, each of radius r and speed of liquid in the tube is v as shown in the figure.

According to equation of continuity

Av = constant

where A is a cylindrical tube and v is the velocity of the liquid in a tube. 

Volume in flow rate = volume an outflow rate

πR2v = nπr2v'

v' = R2v/nr2

Thus, speed of the ejection of the liquid through the holes is R2v/nr2



During the streamline of viscous and incompressible fluid through a pipe varying cross -section, the product of the area of cross section and normal fluid velocity (Av) remains constant throughout the flow.

Consider a cylindrical tube of a spray pump has radius R, one end having n fine holes, each of radius r and speed of liquid in the tube is v as shown in the figure.

According to equation of continuity

Av = constant

where A is a cylindrical tube and v is the velocity of the liquid in a tube. 

Volume in flow rate = volume an outflow rate

πR2v = nπr2v'

v' = R2v/nr2

Thus, speed of the ejection of the liquid through the holes is R2v/nr2



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