Water enters through end A with a speed v₁ and leaves through end B with a speed v₂ of a cylindrical tube AB. The tube is always completely filled with water. In case I the tube is horizontal, in case II it is vertical with the end A upward and in case III it is vertical with the end B upward. We have v₁ = v₂ for
(a) case I
(b) case II
(c) case III
(d) each case

Open in App

Solution

(d) each case

This happens in accordance with the equation of continuity.
As the area of the cross section of cylindrical tube AB is constant, the velocity of water will also be the same. The equation is derived from the principle of conservation of mass and it is true for every case, i.e., when the tube is either horizontal or vertical.

Suggest Corrections

Similar questions

Q. Water enters through end A with speed

v_{1}

and leaves through end B with speed

v_{2}

of a cylindrical tube AB. The tube is always completely filled with water. In case I tube is horizontal and in case II it is vertical with end A upwards and in case III it is vertical with end B upwards. We have

v_{1} = v_{2}

for

Water enters through end A with a speed v₁ and leaves through end B with a speed v₂ of a cylindrical tube AB. The tube is always completely filled with water. In case I the tube is horizontal, in case II it is vertical with the end A upward and in case III it is vertical with the end B upward. We have v₁ = v₂ for

Q. Water enters through an end A with speed

v_{1}

and leaves through end B with speed of

v_{2}

of a cylindrical tube AB. The tube is always filled completely with water. In case

I

tube is horizontal, in case

I I

it is vertical with end A upwards and in case

I I I

it is vertical with end B upwards. We have

v_{1} = v_{2}

for

Water enters through end A with speed $v_{1}$ and leaves through end B with speed $v_{2}$ of a cylindrical tube AB. The tube is always completely filled with water. In case I tube is horizontal and in case II it is vertical with end A upwards and in case III it is vertical with end B upwards. We have $v_{1}$ = $v_{2}$ for

Join BYJU'S Learning Program