Questions 61–65 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 7 of 7

Question 51

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MNNAT2 marksNeeds review
The insitu stress field around a circular tunnel is shown in the figure.
Diagram for Mining Engineering question 51

Points A and B are located at the boundary of the tunnel. If the tangential stress at Point A is 3 times of that at Point B, the value of insitu stress ratio, k is _____.

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Question 52

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MNNAT2 marksNeeds review
Data related to explosive and blasthole are given below. Assuming 1 kcal to be 4.2 kJ, the power of explosive in GW in the blasthole (round off to one decimal place) is _____.
Parameter
Value
Diameter of the borehole
200 mm
Charge length
8 m
Density of ANFO
0.8 g/cc
Heat of explosion
912 cal/g
VOD
4500 m/s
Initiation
Bottom

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Question 53

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A rock block of mass 100 kg is to be lifted by a horizontal force P as shown in the figure below.
Diagram for Mining Engineering question 53

Smooth rollers are placed between the wedges. The coefficient of static friction between wedge A and surface C and between wedge B and surface D is 0.3. Ignoring the weight of the wedges and the friction between the roller and the wedges, the minimum force P in kg required to lift the block (round off to one decimal place) is _____.

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Question 54

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A joint plane dipping at 30° intersects the slope edge and the crest as shown in the figure below.
Diagram for Mining Engineering question 54

The unit weight of rock is 25 kN/m

, and cohesion and friction angle of the joint surface are 40 kPa and 25° respectively. The safety factor of the shaded block (round off to two decimal places) is _____.

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Question 55

Open question
MNNAT2 marksNeeds review
The random variable X has probability density function as given by

The value E(X

) (rounded off to one decimal place) is _____.

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