GATE CE 2024 Paper 1 — page 13

Questions 37–39 of 65. Imported answers require review unless explicitly marked reviewed.

A vector field

and a scalar field

are given by

Consider the statements P and Q.

P: Curl of the gradient of the scalar field

is a null vector.

Q: Divergence of curl of the vector field

is zero.

Which one of the following options is CORRECT?

Your answerChoose one option.

Both P and Q are FALSE

P is TRUE and Q is FALSE

P is FALSE and Q is TRUE

Both P and Q are TRUE

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Find the correct match between the plane stress states and the Mohr’s circles.

Plane stress states P, Q, R and S and Mohr’s circles I, II, III and IV are shown in the figures.

Your answerChoose one option.

(P)-(III); (Q)-(IV); (R)-(I); (S)-(II)

(P)-(III); (Q)-(II); (R)-(I); (S)-(IV)

(P)-(I); (Q)-(IV); (R)-(III); (S)-(II)

(P)-(I); (Q)-(II); (R)-(III); (S)-(IV)

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The beam shown in the figure is subjected to a uniformly distributed downward load of intensity

between supports A and B.

Considering the upward reactions as positive, the support reactions are

Your answerChoose one option.

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2024 · Paper 1