Questions 351–360 of 1300. Imported answers require independent review unless marked reviewed.

Topic practice 1300 questionsPage 36 of 130

Question 46

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Which of the following statement(s) is/are CORRECT?
Your answerSelect all correct options. You can choose more than one.

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Question 46

Open question
CE2MSQ2 marksNeeds review
In the context of pavement material characterization, the CORRECT statement(s) is/are
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Question 47

Open question
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The return period of a large earthquake for a given region is 200 years. Assuming that earthquake occurrence follows Poisson’s distribution, the probability that it will be exceeded at least once in 50 years is __________ % (rounded off to the nearest integer).

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Question 47

Open question
CE2NAT2 marksNeeds review
The expression for computing the effective interest rate (

) using continuous compounding for a nominal interest rate of 5% is

The effective interest rate (in percentage) is __________ (rounded off to 2 decimal places).

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Question 48

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A

tank of 3 m height has inflow, outflow and stirring mechanisms. Initially, the tank was half-filled with fresh water. At

, an inflow of a salt solution of concentration 5 g/m

at the rate of 2 litres/s and an outflow of the well stirred mixture at the rate of 1 litre/s are initiated. This process can be modeled using the following differential equation:

where m is the mass (grams) of the salt at time t (seconds). The mass of the salt (in grams) in the tank at 75% of its capacity is __________ (rounded off to 2 decimal places).

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Question 48

Open question
CE2NAT2 marksNeeds review
Consider two matrices

and

.
The determinant of the matrix

is __________ (in integer).

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Question 49

Open question
ce-1NAT2 marksNeeds review
The plane truss shown in the figure has 13 joints and 22 members. The truss is made of a homogeneous, prismatic, linear elastic material. All members have identical axial rigidity. A to M indicate the joints of the truss. The truss has pin supports at joints A and L and roller support at joint K. The truss is subjected to a 10 kN vertically downward force at joint H and a 10 kN horizontal force in the rightward direction at joint B as shown.
Diagram for Civil Engineering question 49

The magnitude of the reaction (in kN) at the pin support L is __________ (rounded off to 1 decimal place).

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Question 49

Open question
CE2NAT2 marksNeeds review
For the 6 m long horizontal cantilever beam PQR shown in the figure, Q is the mid-point. Segment PQ of the beam has flexural rigidity

whereas the segment QR has infinite flexural rigidity. Segment QR is subjected to uniformly distributed, vertically downward load of 5 kN/m.
Diagram for Civil Engineering question 49

(Figure NOT to scale)
The magnitude of the vertical displacement (in mm) at point Q is __________ (rounded off to 3 decimal places).

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Question 50

Open question
ce-1NAT2 marksNeeds review
An inverted T-shaped concrete beam (B1) in the figure, with centroidal axis X – X, is subjected to an effective prestressing force of 1000 kN acting at the bottom kern point of the beam cross-section. Also consider an identical concrete beam (B2) with the same grade of concrete but without any prestressing force.
Diagram for Civil Engineering question 50

The additional cracking moment (in kN.m) that can be carried by beam B1 in comparison to beam B2 is __________ (rounded off to the nearest integer).

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Question 50

Open question
CE2NAT2 marksNeeds review
The horizontal beam PQRS shown in the figure has a fixed support at point P, an internal hinge at point Q, and a pin support at point R. A concentrated vertically downward load (V) of 10 kN can act at any point over the entire length of the beam.
Diagram for Civil Engineering question 50

The maximum magnitude of the moment reaction (in kN.m) that can act at the support P due to V is ________ (in integer).

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