Question 1:

The continuity equation states that for an incompressible fluid, the product of cross-sectional area and velocity:

Explanation: The correct answer is C) Remains constant. According to the continuity equation, for an incompressible fluid, the product of cross-sectional area and velocity remains constant along a streamline. This means that if the cross-sectional area decreases, the velocity must increase to maintain the same flow rate.

Question 2:

Torricelli's law describes the flow velocity of a fluid through:

Explanation: The correct answer is A) A narrow tube. Torricelli's law describes the flow velocity of a fluid through a narrow tube. It states that the velocity of efflux is directly proportional to the square root of the height of the fluid column above the opening of the tube.

Question 3:

In the continuity equation, if the cross-sectional area of a pipe decreases, the velocity of the fluid:

Explanation: The correct answer is A) Increases. According to the continuity equation, if the cross-sectional area of a pipe decreases, the velocity of the fluid increases. This is because the total flow rate must remain constant, and a smaller area requires a higher velocity to maintain the same flow rate.

Question 4:

Torricelli's law is a special case of:

Explanation: The correct answer is A) Bernoulli's equation. Torricelli's law is a special case of Bernoulli's equation, which describes the relationship between fluid velocity and pressure along a streamline in an inviscid, incompressible fluid flow.

Question 5:

The continuity equation can be derived from:

Explanation: The correct answer is C) Conservation of mass. The continuity equation is derived from the principle of conservation of mass. It states that the mass flow rate of a fluid is constant along a streamline, which leads to the equation of continuity relating the cross-sectional area and velocity of the fluid flow.