Which of the following assumption is incorrect in the derivation of Bernoulli’s equation?

Bernoulli's equation for fluid flow is derived following certain assumptions. Out of the assumptions listed below, which set of assumptions is used in derivation of Bernoulli's equation?
1. Fluid flow is frictionless & irrotational
2. Fluid flow is steady
3. Fluid flow is uniform & turbulent
4. Fluid is compressible
5. Fluid is incompressible

A

1, 3, 4

B

2, 4, 5

C

1, 2, 5

D

1, 4, 5

The parse tree below represents a rightmost derivation according to the grammar S → AB, A → aS|a, B → bA. Which of the following are right-sentential forms corresponding to this derivation?

A

aAbAba

B

aababa

C

aABba

D

aSba

Considering the problem of (linear) bending of beams according to the Euler-Bernoulli beam theory, if the beam is in equilibrium, then solving the equations governing the equilibrium of the Euler-Bernoulli beam is equivalent to minimizing the total potential energy.

A

True

B

False

The Bernoulli's equation is based on the assumption that

A

There is no loss of energy of the liquid flowing

B

The velocity of flow is uniform across any cross-section of the pipe

C

No force except gravity acts on the fluid

D

All of the above

In order to apply Bernoulli’s equation across two sections, we have to obtain it from Euler’s equation. What is the operation that needs to be carried out in order to obtain it from Euler’s equation?

A

Partial Differentiation

B

Differentiation

C

Integration

D

None of the mentioned

Which of the following is not the additional assumption taken in the derivation of the equations of motion?

A

Gross thrust acts in aircraft body axis

B

Thrust component is small compared to lift component

C

Aircraft is in symmetric flight

D

Rate of change of mass is neglected

Which among the following is incorrect with reference to a derivation tree?

A

Every vertex has a label which is a terminal or a variable.

B

The root has a label which can be a terminal.

C

The label of the internal vertex is a variable.

D

None of the mentioned

Which of the following is the Stoke's equation for the derivation of terminal velocity of particles?

A

Ff = Uu + Vu

B

$$R = \frac{{vdDf}}{n}$$

C

$$v = \frac{{{d^2}g\left( {{D_s} - {D_f}} \right)}}{{18n}}$$

D

$$\frac{h}{v} = \frac{{{d_2}}}{{{d_2} - d_1^2}}$$

In derivation for Euler’s equation, the weight of fluid element is considered as negligible and ignored in calculation.

A

True

B

False

In which of the following conditions can the Bernoulli equation not be used?

A

Viscous flow

B

incompressible fluid

C

steady flow

D

laminar flow

Which of the following assumption is incorrect in the derivation of Bernoulli’s equation?

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