A liquid is allowed to flow into a tube of truncated cone shape. Identify the correct statement from the following.

Question

A liquid is allowed to flow into a tube of truncated cone shape. Identify the correct statement from the following. (A) The speed is high at the wider end and low at the narrow end (B) The speed is low at the wider end and high at the narrow end (C) The speed is same at both ends in a stream line flow (D) The liquid flows with uniform velocity in the tube

Tardigrade Admin · Accepted Answer

The theorem of continuity is valid. ∴ A1v1ρ=A2v2ρ As the density of the liquid can be taken as uniform. ∴ A1v1=A2v2 ⇒ Smaller the area, greater the velocity

Q. A liquid is allowed to flow into a tube of truncated cone shape. Identify the correct statement from the following.

The speed is high at the wider end and low at the narrow end

The speed is low at the wider end and high at the narrow end

The speed is same at both ends in a stream line flow

The liquid flows with uniform velocity in the tube

The theorem of continuity is valid.
$∴ A_{1} v_{1} ρ = A_{2} v_{2} ρ$
As the density of the liquid can be taken as uniform.
$∴ A_{1} v_{1} = A_{2} v_{2}$
$\Rightarrow$ Smaller the area, greater the velocity

Q. A liquid is allowed to flow into a tube of truncated cone shape. Identify the correct statement from the following.

The speed is high at the wider end and low at the narrow end

The speed is low at the wider end and high at the narrow end

The speed is same at both ends in a stream line flow

The liquid flows with uniform velocity in the tube

The theorem of continuity is valid. ∴A1​v1​ρ=A2​v2​ρ As the density of the liquid can be taken as uniform. ∴A1​v1​=A2​v2​ ⇒ Smaller the area, greater the velocity

The theorem of continuity is valid.
$∴ A_{1} v_{1} ρ = A_{2} v_{2} ρ$
As the density of the liquid can be taken as uniform.
$∴ A_{1} v_{1} = A_{2} v_{2}$
$\Rightarrow$ Smaller the area, greater the velocity