List of top Mining Engineering Questions asked in GATE MN

An HMX explosive having Velocity of Detonation (VOD) of 10500 m/s is tested by D'Auriche method with a detonating fuse of VOD 7000 m/s, as shown in the figure. The impression mark on the lead plate will be obtained at a distance $L$, in m, from the midpoint of the fuse, is:

The box plot of a data set is shown below.

The interquartile range of the data set is _______ (in integer).

A constant feed of 400 mL/s is maintained by a Xanthate column of height H as shown in the figure. The outlet cross section area is $1.0 \times 10^{-4} \, {m}^2$. The acceleration due to gravity is $10 \, {m/s}^2$. Neglecting friction and other losses, the value of H, in cm, is (rounded off to 2 decimal places):
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A constant feed of 400 mL/s is maintained by a Xanthate column of height H as shown in the figure. The outlet cross section area is $1.0 \times 10^{-4} \, {m}^2$. The acceleration due to gravity is $10 \, {m/s}^2$. Neglecting friction and other losses, the value of H, in cm, is (rounded off to 2 decimal places):

Based on the theodolite survey for a closed traverse PQRS, the following bearings are observed for the sides of the traverse.

The interior angles at P and R respectively are:

A fixed quantity of air needs to be sent through a cross section, as shown in the figure. The perimeter of the cross section is 20 m. The radius ($r$) of the semicircle, in m, to minimize the air velocity through the section is:

A ground reaction curve (GRC) of a 3 m radius unlined circular tunnel is shown in the figure. The tunnel is supported by 300 mm thick shotcrete lining. The uniaxial compressive strength ($ \sigma_c $), modulus of elasticity ($ E_c $) and Poisson’s ratio ($ \nu $) of shotcrete material are 20 MPa, 15 GPa, and 0.25 respectively. The maximum capacity ($ p_{{max}} $) of the lining and its stiffness ($ k $) are given as: \[ p_{{max}} = \frac{1}{2} \sigma_c \left( 1 - \frac{(a - t)^2}{a^2} \right) \] \[ k = \frac{E_c (a^2 - (a - t)^2)}{(1 + \nu)\left[(1 - \nu) a^2 + (a - t)^2\right]} \] where $ a $ = radius of the unlined tunnel and $ t $ = thickness of the lining. If the lining is constructed after 5 mm radial deformation, the support reaction is best represented by the line shown in the figure.

The box plot of a data set is shown below.

The interquartile range of the data set is _______ (in integer).

An HMX explosive having Velocity of Detonation (VOD) of 10500 m/s is tested by D'Auriche method with a detonating fuse of VOD 7000 m/s, as shown in the figure. The impression mark on the lead plate will be obtained at a distance $L$, in m, from the midpoint of the fuse, is:

The CORRECT statement(s) of dragline operation is/are:

Information for a drilling operation in an overburden mine is given: Volume of rock blasted per round = $3.2 \times 10^5\ \text{m}^3$
Number of blast holes = 100
Drill hole diameter $D = 200\ \text{mm} = 0.2\ \text{m}$
Length of subgrade drilling = $8D = 1.6\ \text{m}$
Stemming length = $25D = 5\ \text{m}$
Bench height = 30 m
Powder factor = $3.2\ \text{m}^3/\text{kg}$ Find the explosive per unit charge length (kg/m), rounded to two decimals).

The shaft-top coordinates of two vertical shafts are given below. The depth of the shaft A and B are 200 m and 149 m, respectively. The downward gradient of the line joining the bottom of the two shafts in degrees, is __________. (round off to two decimal places)

Match the semi-variogram shape with the model name and the property.

In a uniaxial compressive strength test, a rock sample of diameter 50 mm fails at an angle of $60^\circ$ as shown. If the peak load at failure is 120 kN, the normal and shear stresses on the failure plane, in MPa, are __________________ and __________________.

A coal mining company examines the option of buying two types of dumpers with the following details.

In order to minimize the operating cost, the optimum fleet of dumpers of Type-1 and Type-2, respectively are

A safety device has two independent critical components $X_1$ and $X_2$. Failure of any one or both causes an accident. Failure probabilities: $P(X_1)=0.2$, $P(X_2)=0.1$. Find the probability of an accident (rounded to two decimals).

A mining company produces iron ore and sells to another company. Royalty to be paid is on the basis of