GATE XE kind:question PYQs & Answers — Page 112

Questions 1111–1120 of 1772. Imported answers require independent review unless marked reviewed.

A liquid of viscosity 1.74 x 10

Ns/m

is flowing through a horizontal capillary tube of diameter 0.5 mm. The flow in the tube is steady, incompressible and fully developed laminar flow. The pressure drop across two locations spaced 1 m apart in the tube is 1.0 MPa.

The flow rate in the tube ______ mm

/s.

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A venturimeter with 75 mm diameter throat is placed in a 150 mm diameter pipeline carrying water at 25°C. The pressure drop between the upstream tap and the venturi throat is 40 kPa. (Density of water = 1000 kg/m

The flow rate is ______ m

/s (rounded off to three decimal places).

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A water jet with velocity

impinges normal to a moving flat plate with velocity

such that the jet splits equally into two halves as shown in Figure. The jet cross-sectional area is 2 cm

is 20 m/s and

is 10 m/s and density of water is 1000 kg/m

. Consider steady flow and neglect weight of the jet, weight of the plate and frictional loss.

The absolute value of the force required to keep the plate moving at constant velocity

is ______ N.

Diagram for Engineering Sciences question 20

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In an inverted manometer (as shown in the Figure), the pressure difference,

is 100 kPa.

Use specific gravity of oil as 0.8, density of water as 1000 kg/m

, density of mercury as 13600 kg/m

and acceleration due to gravity as 10 m/s

The height of the water column,

is ______ cm. (rounded off to one decimal place).

Diagram for Engineering Sciences question 21

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An incompressible, steady flow with uniform velocity condition at the inlet between parallel plates is shown in Figure. The flow develops into a parabolic laminar profile with

at the downstream end, where ‘a’ is a constant. Assume unit depth of the plate. For

cm/s,

cm and the fluid with density,

kg/m

The value of ‘a’ is ______.

Diagram for Engineering Sciences question 22

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A Pb-Sn sample of eutectic composition, containing α- and β- phases, is examined in a scanning electron microscope. The α-phase contains ~97 wt% Pb (atomic number 82) while β-phase contains ~99 wt% Sn (atomic number 50). The ratio of number of backscattered electrons escaping from α-phase to that from β-phase would be:

Your answerChoose one option.

Less than 1

Equal to 1

Greater than 1

Equal to 0

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Smallest or minimum feature size that can be theoretically resolved in an optical microscope does NOT depend on:

Your answerChoose one option.

Refractive index of the medium between the lens and the focal point

Intensity of radiation

Wavelength of radiation

Numerical aperture of the objective lens

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Following diagram shows a square 2-D lattice with a hexagonal motif (dark colored). The rotational symmetry element that must be present in the system is:

Diagram for Engineering Sciences question 3

Your answerChoose one option.

Six-fold rotation

Two-fold rotation

Three-fold rotation

Four-fold rotation

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Density of states, D(E), in a three dimensional solid varies with energy (E) as

Your answerChoose one option.

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The variation of molar volume (Vm) of a liquid showing glass transition temperature (Tg) while cooling from its melting temperature (Tm) is depicted by:

Diagram for Engineering Sciences question 5

Your answerChoose one option.

III

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GATE XE kind:question PYQs

Question 18

Question 19

Question 20

Question 21

Question 22

Question 1

Question 2

Question 3

Question 4

Question 5