GATE XE format:mcq PYQs & Answers — Page 57

Questions 561–570 of 959. Imported answers require independent review unless marked reviewed.

Let

be a random variable with probability density function

Let

. Then the probability

depends only on

Your answerChoose one option.

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Let

be a

matrix such that

. Then it is necessary that

Your answerChoose one option.

is the identity matrix or the zero matrix.

the determinant of

is either 0 or 1.

the rank of

is 3.

has one imaginary eigenvalue.

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Figures given below show the velocity and shear stress profiles for the flow in a duct. In each option, ‘1’ represents velocity profile and ‘2’ represents shear stress profile.

Choose the correct option that closely represents the turbulent flow condition.

Your answerChoose one option.

Diagram for Engineering Sciences question 1

Diagram for Engineering Sciences question 1 (figure 2)

Diagram for Engineering Sciences question 1 (figure 3)

Diagram for Engineering Sciences question 1 (figure 4)

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The variation of shear stress (

) against strain rate (

) is given in the Figure. Identify the line/curve among P, Q, R and S, that represents an ideal fluid.

Diagram for Engineering Sciences question 2

Your answerChoose one option.

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A body is under stable equilibrium in a homogeneous fluid, where CG and CB are center of gravity and center of buoyancy, respectively.

Two statements ‘P’ and ‘Q’ are given below:

P: For a fully submerged condition, CG should always be below CB

Q: For a floating body, CG need not be below CB

Choose the option that is valid for the present situation.

Your answerChoose one option.

P is False; Q is True when metacentre is below CG

P is False; Q is True when metacentre is above CG

P is True; Q is True when metacentre is below CG

P is True; Q is True when metacentre is above CG

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A laminar hydrodynamic boundary layer over a smooth flat plate is shown in the Figure. The shear stress at the wall is denoted by

. Which one of the following conditions is correct.

Diagram for Engineering Sciences question 4

Your answerChoose one option.

Pressure is varying along ‘x’ and

Pressure is constant along ‘x’ and

Pressure is varying along ‘x’ and

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A non-dimensional number known as Weber number is used to characterize which one of the following flows,

Your answerChoose one option.

Motion of fluid in open channel

Motion of fluid droplets

Motion of fluid at high velocity

Motion of fluid through a pipe

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A uniform approach flow is subjected to an unsteady and periodic flapping plate as shown in the Figure. Tracer is released to obtain flow visualization lines, which are marked as ‘P’, ‘Q’ and ‘R’.

Choose the correct option that the line ‘R’ represents

Diagram for Engineering Sciences question 6

Your answerChoose one option.

Streakline

Streamline

Pathline

Timeline

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The volume flow between any two points not lying on the same stream in a flow field is equal to

Your answerChoose one option.

Change in strain rate between the points

Change in vorticity between the points

Change in potential function between the points

Change in stream function between the points

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Column I represents a list of elementary plane flows and Column II represents flow past geometry obtained by superposition of these elementary plane flows.

Column I

P: Source, Sink, Uniform flow

Q: Doublet, Uniform flow

R: Source, Uniform flow

S: Doublet, Free vortex, Uniform flow

Column II

1: Rankine half body

2: Rotating Cylinder

3: Rankine oval

4: Cylinder

The correct match between Columns I and II is,

Your answerChoose one option.

P-3; Q-2; R-1; S-4

P-1; Q-2; R-3; S-4

P-3; Q-4; R-1; S-2

P-1; Q-4; R-3; S-2

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GATE XE format:mcq PYQs

Question 9

Question 10

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 10