GATE XE purpose:exam-prep PYQs & Answers — Page 166

Questions 1651–1660 of 1772. Imported answers require independent review unless marked reviewed.

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

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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

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A closed thin-walled cylindrical steel pressure vessel of wall thickness

is subjected to internal pressure. The maximum value of pressure

(in kPa) that the wall can withstand based on the maximum shear stress failure theory is given by (Yield strength of steel is

and mean radius of the cylinder

Your answerChoose one option.

100

200

300

400

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The state of stress at a point in a body is represented using components of stresses along X and Y directions as shown. Which one of the following represents the state of stress along X′ and Y′ axes? (X′-axis is at 45° clockwise with respect to X-axis).