GATE XE format:nat PYQs & Answers — Page 56

Questions 551–560 of 668. Imported answers require independent review unless marked reviewed.

Topic practice 668 questionsPage 56 of 67

If the value of the integral (I) is 4, the value of the constant b is __________ (give answer up to 2 decimal places).

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X-ray diffraction pattern is obtained from FCC polycrystalline aluminum (lattice parameter = 0.405 nm) using Cr-Kα radiation of wavelength 0.229 nm. The maximum number of peaks that can be observed in the pattern is __________.

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The planar atomic density in the (110) plane of a BCC iron crystal is __________ nm⁻² (give answer up to 2 decimal places)

(Given: lattice parameter of iron is 0.287 nm)

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Mild steel is carburized at 1300 K for 1 hour to obtain a certain case depth. Keeping the time as 1 hour, the case depth can be doubled by increasing the temperature to __________K (round off to the nearest whole number)

(Given: Activation energy Q = 148 kJ mol⁻¹, Gas constant, R = 8.314 J mol⁻¹ K⁻¹)

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A rigid and thin L-shaped bracket is fixed to the wall at point

, and a force

is applied at point

as shown. For a given force

, the point

experiences the maximum clockwise moment when the inclination

(in degrees) with the

-axis is .......... [up to two decimal places]

Diagram for Engineering Sciences question 6

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A cantilever beam with length,

m, modulus of elasticity,

GPa, and area moment of inertia,

carries a concentrated mass

kg at its free-end. By idealizing it as a single degree-of-freedom system and neglecting the mass of the cantilever beam, the natural frequency (in rad/s) of small transverse oscillations of the mass is ....... [up to two decimal places]

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For a typical grade of steel, the value of modulus of elasticity (

) and Poisson’s ratio (

) are 208 GPa and 0.3 respectively. The value of shear modulus (

) of the steel (in GPa) is .......

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A tensile test is performed on a metallic specimen of diameter 8 mm and gauge length 50 mm. When the tensile load

reaches a value of 20 kN, the distance between the gauge marks increases by 0.09 mm. If the sample remains within the elastic limit, the modulus of elasticity (in GPa) of the test metal is..........[up to two decimal places]

Diagram for Engineering Sciences question 9

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A circular steel bar of diameter 10 mm is bent into the shape as shown in figure, and lies in

plane. A horizontal force

is applied along the positive

-direction as shown. The yield strength of the steel is 200 MPa. Neglecting the effect of transverse shear, the load

(in Newton) required to initiate yielding as per maximum shear stress theory of failure is………. [up to two decimal places]

Diagram for Engineering Sciences question 17

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Two sliders

and

connected by a rigid link of length

, slide in two mutually perpendicular and frictionless guide-ways. At a particular instance, the slider

is moving in the downward direction with a speed of 0.05 m/s. At this instance, the magnitude of the velocity of slider

(in m/s) is ……[up to two decimal places]

Diagram for Engineering Sciences question 18

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GATE XE format:nat PYQs

Question 19

Question 20

Question 21

Question 22

Question 6

Question 7

Question 8

Question 9

Question 17

Question 18