GATE MN branch:mn PYQs & Answers — Page 52 — Exam Papers

Questions 511–520 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 52 of 65

A sand water slurry of specific gravity 1.45 contains sand of grain density 2.6 g/cc. The weight percent of sand in the slurry (rounded off to two decimal places) is

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For a mining company the unit transportation cost from a mine to a washery, and supply and demand are shown below:

		Washery			Supply
Mine		A	B	C	D
M1		30	0	40	20	500
M2		24	16	22	40	700
M3		0	32	28	36	800
Demand		300	400	600	700

The total cost of transportation using the Vogel’s approximation method is

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In a bord and pillar panel, 6 square pillars are developed as shown in the figure below. The depth of the seam is 300 m and the average unit weight of overburden rock is 25 kN/m

. If the pillar strength is 15 MPa, the safety factor of the shaded pillar zone (round off to two decimal places) is

Diagram for Mining Engineering question 48

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Water enters a sump having the shape of an inverted frustum at a rate of 500 m

/h. The sump is initially filled up to 2.0 m height. The time taken in days to fill the remaining part of the sump (rounded off to one decimal places) is

Diagram for Mining Engineering question 49

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The uniaxial stress-strain behavior of a rock sample is shown in the figure.

Diagram for Mining Engineering question 50

The elastic modulus E is 20,000 MPa. If

is the plastic strain, the value of the damage parameter D (rounded off to two decimal place) is _____.

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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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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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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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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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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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