According to Bernoulli's principle, ___.

a decrease in the flow rate of a fluid occurs with a decrease in pressure or a decrease in the fluid's potential energy.

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an increase in the flow rate of a fluid occurs with a decrease in pressure or a decrease in the fluid's potential energy.

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an increase in the flow rate of a fluid occurs with an increase in pressure or a decrease in the fluid's potential energy.

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an increase in the flow rate of a fluid occurs with a decrease in pressure or an increase in the fluid's potential energy.

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Solution

The correct option is B
an increase in the flow rate of a fluid occurs with a decrease in pressure or a decrease in the fluid's potential energy.

In fluid dynamics, according to Bernoulli's principle an increase in the speed of a fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid's potential energy. This principle is about conservation of energy principle in fluid dynamics, where same mass of water entering from one end comes out of the other end when the motion of fluid is constrained in certain cross section.

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Which of the following statements are in accordance with the Arrhenius equation?
(a) Rate of a reaction increases with increase in temperature
(b) Rate of a reaction increases with a decrease in activation energy
(c) Rate constant decreases exponentially with an increase in temperature
(d) Rate of reaction decreases with a decrease in activation energy

Q. Fill in the blanks using the word(s) from the list appended with each statement.
(a) Surface tension of liquids generally ....... with temperatures. (increases / decreases)
(b) Viscosity of gases ........ with temperature, whereas viscosity of liquids ....... with temperature (increases / decreases)
(c) For solids with elastic modulus of rigidity, the shearing force is proportional to ....... , while for fluids it is proportional to ....... (shear strain / rate of shear strain)
(d) For a fluid in a steady flow, the increase in flow speed at a constriction follows (conservation of mass / Bernoullis principle)
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Fill in the blanks using the word(s) from the list appended with each statement:

(a) Surface tension of liquids generally . . . with temperatures (increases / decreases)

(b) Viscosity of gases. .. with temperature, whereas viscosity of liquids . . . with temperature (increases / decreases)

(c) For solids with elastic modulus of rigidity, the shearing force is proportional to . . . , while for fluids it is proportional to . .. (shear strain / rate of shear strain)

(d) For a fluid in a steady flow, the increase in flow speed at a constriction follows (conservation of mass / Bernoulli’s principle)

(e) For the model of a plane in a wind tunnel, turbulence occurs at a ... speed for turbulence for an actual plane (greater / smaller)

Q. Fill in the blanks using the word(s) from the list appended with each statement: (a) Surface tension of liquids generally . . . with temperatures (increases / decreases) (b) Viscosity of gases . . . with temperature, whereas viscosity of liquids . . . with temperature (increases / decreases) (c) For solids with elastic modulus of rigidity, the shearing force is proportional to . . . , while for fluids it is proportional to . .. (shear strain / rate of shear strain) (d) For a fluid in a steady flow, the increase in flow speed at a constriction follows (conservation of mass / Bernoulli’s principle) (e) For the model of a plane in a wind tunnel, turbulence occurs at a ... speed for turbulence for an actual plane (greater / smaller)

Q. A flat plate is kept in an infinite fluid medium. The fluid has a uniform free-stream velocity parallel to the plate. For the laminar boundary layer formed on the plate, pick the correct option matching List-I and List-II.

List - I	List - II
A. Boundary layer thickness	1. Decrease in the flow direction
B. Shear stress at the plate	2. Increase in the flow direction
C. Pressure gradient along the plate	3. Remains unchanged

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