Question

Reason (R) The sum of potential, kinetic and pressure energy per unit mass of an incompressible, non-viscous fluid remains constant. (NCERT Pg. 188) 07 Assertion (A) For the flow to be streamlined, value

Answer 1

Assertion (A) is false. Reason (R) is true.

Answer 2

Explanation of the Solution:

1. Analyze Assertion (A): The statement reads, "For the flow to be streamlined, value". This statement is grammatically incomplete and does not form a coherent proposition. It ends abruptly, making it impossible to ascertain its truthfulness. Therefore, Assertion (A) is considered invalid or false because it is not a complete statement.

2. Analyze Reason (R): The statement reads, "The sum of potential, kinetic and pressure energy per unit mass of an incompressible, non-viscous fluid remains constant." This is a precise definition of Bernoulli's principle, which applies to ideal fluids (incompressible and non-viscous) in steady (streamlined) flow.

Mathematically, Bernoulli's principle states:

$\frac{P}{\rho} + \frac{1}{2}v^2 + gh = \text{constant}$

where $P$ is pressure, $\rho$ is density, $v$ is fluid velocity, $g$ is acceleration due to gravity, and $h$ is height.

This statement is entirely correct.

3. Conclusion: Since Assertion (A) is an incomplete and invalid statement, it is considered false. Reason (R) is a correct statement of Bernoulli's principle.