GATE XE year:2017 PYQs & Answers — Page 6

Questions 51–60 of 175. Imported answers require independent review unless marked reviewed.

A ceramic material with a critical flaw size of 30

m has fracture stress of 300 MPa. For the same material the fracture stress for a critical flaw size of 90

m will be ..............MPa.

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An inorganic material that is transparent under solar light appears coloured when doped with transition metal ions. The possible reason(s) for the colour is/are

(i) The electronic energy levels of the host material changes significantly by doping (ii) The doped element selectively absorbs certain wavelength of light other than the perceived color (iii) The doped element emits radiation of specific wavelength

Which of the above statement(s) is/are true?

Your answerChoose one option.

Only (i)

Both (i) and (ii)

Both (i) and (iii)

Both (ii) and (iii)

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Copper is an FCC metal with lattice parameter of 3.62 Å. Hall effect measurement shows electron mobility to be 3.2

. Electrical resistivity of copper is 1.7

Ωm. The average number of free electrons per atom in copper is ....................(Charge of an electron: 1.6

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In an ionic solid the cation and the anion have ionic radii as 0.8 Å and 1.6 Å respectively. The maximum coordination number of the cation in the structure will be

Your answerChoose one option.

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Which of the following statement(s) is / are true regarding susceptibility of a material

(i) Magnetic susceptibility is positive for a diamagnetic material (ii) Magnetic susceptibility is negative for a diamagnetic material (iii) Magnetic susceptibility is negative for an antiferromagnetic material (iv) Magnetic susceptibility is positive for a paramagnetic material

Your answerChoose one option.

(ii) and (iv)

(i) and (iii)

(ii) and (iii)

(i) and (iv)

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In the truss shown, a mass

is hung from the node J. The magnitude of net force (in Newtons) transferred by the truss EFGHIJ onto the truss JKLMNO at the node J is ________.

Assume acceleration due to gravity,

Diagram for Engineering Sciences question 56

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A ball moves along a planar frictionless slot as shown. Which one of the paths shown closely matches the path taken by the ball after it exits the slot at E?

Diagram for Engineering Sciences question 57

Your answerChoose one option.

path m

path n

path p

path q

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A rod EF moving in a plane has velocity

at E and

at F that are parallel to each other. Which of the following CANNOT be true?

Diagram for Engineering Sciences question 58

Your answerChoose one option.

Both

and

are perpendicular to EF.

Magnitude of

is equal to the magnitude of

and the angular velocity of EF is zero.

The velocity

is not perpendicular to EF and the angular velocity of EF is nonzero.

Magnitude of

is not equal to the magnitude of

and the angular velocity of EF is nonzero.

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The beam shown below carries two external moments. A counterclockwise moment of magnitude

acts at point B and a clockwise moment of magnitude

acts at the free end, C. The beam is fixed at A. The shear force at a section close to the fixed end is equal to

Diagram for Engineering Sciences question 59

Your answerChoose one option.

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Two pendulums are shown below. Pendulum-A carries a bob of mass

, hung using a hinged massless rigid rod of length

whereas Pendulum-B carries a bob of mass

and length

. The ratio of the natural frequencies of Pendulum-A and Pendulum-B is given by

Diagram for Engineering Sciences question 60

Your answerChoose one option.

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GATE XE year:2017 PYQs

Question 51

Question 52

Question 53

Question 54

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60