The grade of copper (in wt%) of an ore body determined at locations 1, 2 and 3 are indicated (in parentheses) below. The grade of copper at an unknown location x calculated using Inverse-Square Distance Weighting (IDW) is \(\underline{\hspace{1cm}}\) wt %. (round off to 2 decimal places)
The sketch shows a triangular rock mass (ABC) resting on a joint plane (AC) inclined at 35° with the horizontal. A rockbolt having an inclination of 25° with the horizontal is used to stabilize the slope. If the bolt tension (T) is 110 kN, the absolute value of shear force along the joint plane induced by the bolt tension is \(\underline{\hspace{1cm}}\) kN.
In a zone of active normal faulting, the maximum and minimum in situ principal stresses (compressive in nature) are 30 MPa (\( \sigma_1 \)) and 10 MPa (\( \sigma_3 \)), respectively. The fault plane striking N-S has a dip amount of 60° towards E. Considering Anderson theory of faulting and using the given information, the calculated normal stress on the fault plane is \(\underline{\hspace{1cm}}\) MPa. (in integer)
A circular tunnel is being excavated in a blocky rock mass by drilling and blasting. An excavation disturbed zone (EDZ) around the tunnel extends 0.70 m into the rock from the excavation surface. Considering the unit weight of the rock as 25 kN/m³, the support pressure required at the crown of the tunnel to stabilize the loose blocks of the EDZ is \(\underline{\hspace{1cm}}\) kPa. (round off to one decimal place)
The mole percentages of \(SiO_2\), \(Al_2O_3\), and \(K_2O\) in a granitic rock are 84.21, 7.89 and 7.89, respectively. The molar proportion (in %) of K-feldspar in the rock is \(\underline{\hspace{1cm}}\) . (round off to one decimal place)
A mantle source rock melts at a time to giving rise to melt (M) and residue (R). Which of the following statements is CORRECT about evolution of the \(( ^{143}Nd/^{144}Nd )\) and \(( ^{87}Sr/^{86}Sr )\) isotope ratio in M (that crystallized to form a rock) and R?
Match the rock types in Group-I with their most likely corresponding lithospheric / tectonic settings of formation in Group-II \[\begin{array}{|c|c|} \hline \textbf{Group I} & \textbf{Group II} \\ \hline \text{P. Boninite} & \text{1. Continental anorogenic} \\ \hline \text{Q. Lamproite} & \text{2. Island-arc} \\ \hline \text{R. Phonolite} & \text{3. Continental collision} \\ \hline \text{S. Leucogranite} & \text{4. Intraplate oceanic} \\ \hline \end{array}\]
Match the items in Group-I with corresponding appropriate items in Group-II. Group-I Group-IIP. Cs 1. Siderophile Q. Au 2. Chalophile R. Cd 3. Atmophile S. Rn 4. Lithophile