GATE XE year:2019 PYQs & Answers — Page 7

Questions 61–70 of 175. Imported answers require independent review unless marked reviewed.

The zero point energy of an electron in a box of 0.2 nm width is _____ eV. (round off to 1 decimal place)

(Given: Planck’s constant = 6.63 × 10⁻³⁴ J s, electron mass = 9.1 × 10⁻³¹ kg and 1 eV = 1.6 × 10⁻¹⁹ J)

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The de Broglie wavelength of an electron accelerated across a 300 kV potential in an electron microscope is _____ ×10⁻¹² m. Ignore relativistic effects. (round off to 2 decimal places)

(Given: Planck’s constant = 6.63 × 10⁻³⁴ J s, electron rest mass = 9.1 × 10⁻³¹ kg, electron charge = 1.6 × 10⁻¹⁹ C)

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A stress of 17 MPa is applied to a polymer serving as a fastener in a complex assembly. At constant strain the stress drops to 16.6 MPa after 100 hours. The stress on the polymer must remain above 14.5 MPa in order for the assembly to function properly. The expected life of the assembly is _____ hours. (round off to the nearest integer)

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A piezoelectric material has a Young’s modulus of 72 GPa. The stress required to change the polarization from 640 to 645 C m⁻³ is _____ MPa. (round off to the nearest integer)

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An iron bar magnet having coercivity of 7000 A m⁻¹ is to be demagnetized. The bar is introduced fully inside a 0.25 m long solenoid having 150 turns of wire. The electric current required to generate the necessary magnetic field is _____ A. (round off to 1 decimal place)

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For a pinned-pinned slender column of length L, with uniform circular cross section, and with second moment of cross sectional area I, the critical buckling load is P_cr. For a similar column, made of same material, having length 2L and second moment of cross sectional area 4I, the critical buckling load is

Your answerChoose one option.

4P_cr

2P_cr

P_cr

0.5P_cr

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Two rods P and Q of uniform circular cross section are made of same material and are subjected to identical uniaxial tensile load. The length of rod P is twice the length of rod Q and the diameter of rod P is also twice the diameter of rod Q. The ratio of elastic strain energy stored in rod P to that stored in rod Q is

Your answerChoose one option.

4:1

2:1

1:1

1:2

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The frame comprises members ABC, CD, and BEDF. This frame is fixed at A, and the connections between the three members are pins. Load P is applied at F. Which of the following statements is TRUE?

Diagram for Engineering Sciences question 3

Your answerChoose one option.

ABC and CD are two-force members

CD is the only two-force member

BEDF and CD are two-force members

ABC is the only two-force member

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When two spheres moving in a horizontal plane collide obliquely, which one of the following statements is ALWAYS TRUE?

Your answerChoose one option.

Energy of the two-sphere system is conserved

Linear momentum of the two-sphere system is conserved along the normal to the plane of impact

Linear momentum of each individual sphere is conserved along the normal to the plane of impact

Linear momentum of each individual sphere is NOT conserved along the horizontal tangent to the plane of impact

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In a bending moment diagram of a simply supported beam, discontinuity in the bending moment occurs

Your answerChoose one option.

at the point of application of a couple

at the point of application of a concentrated force

at a point where the cross section of the beam changes abruptly

at a point where shear force is zero

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GATE XE year:2019 PYQs

Question 18

Question 19

Question 20

Question 21

Question 22

Question 1

Question 2

Question 3

Question 4

Question 5