List of top Questions asked in Indian Institute Of Technology Joint Admission Test for MSc

The geothermal gradient in the continental crust is 0.02 ⁰C/m. If the surface temperature is 25 ⁰C, the temperature at a depth of 18 km from the surface is ________ ⁰C. (In integer)

According to Strahler’s stream ordering system, what is the highest order of stream in the given diagram?

A partially saturated soil sample has a volume of 1200 cc. The volume of water present in the sample is 300 cc. The mass of solid in the sample is 1908 g and the particle density is 2.65 g/cc. The porosity (n) of the soil sample is _______ %. (In integer)

The sedimentary structure formed by unidirectional current is

Match the geomorphic features in Group I with the corresponding environments in Group II.

Group I	Group II
P. Dreikanter	1. Glacial
Q. Cirque	2. Beach
R. Natural levee	3. Eolian
S. Berm	4. Fluvial

Clinopyroxene crystallizing from a basaltic magma has Sm concentration of 24 ppm. If the clinopyroxene-melt partition coefficient for Sm is 1.2, the concentration of Sm in the basaltic magma will be ______ ppm. (In integer)

Consider the univariant metamorphic reaction Albite = Jadeite + Quartz. The minimum number of chemical components required to describe the composition of all the phases is _________ . (In integer)

Darcy’s law quantifies the volume of groundwater flow

Match the morphological features in Group I with the corresponding taxa in Group II.

Group I	Group II
P. Dissepiment	1. Echinodermata
Q. Delthyrium	2. Trilobita
R. Pygidium	3. Brachiopoda
S. Ambulacrum	4. Anthozoa

Mass-wasting processes are

An aquifer has a cross-sectional area of 10 $m^2$ and a hydraulic conductivity of 0.25 cm/s. The volume of water that will flow per second through the aquifer for a hydraulic gradient of 0.04 is _____ $cm^3$. (Round off to three decimal places)

A plunging fold will NOT show a V-shaped outcrop pattern on a planar ground surface if the plunge of the fold axis is

Match the minerals in Group I with their highest order of interference color in Group II (for 0.03 mm mineral thickness).

Group I	Group II
P. Sillimanite	1. First order
Q. Quartz	2. Second order
R. Muscovite	3. Greater than third order
S. Calcite	4. Third order variegated

A rock element during deformation, experienced a pressure change of $5×10^4 N/m^2$, due to which its volume changed from 4 cm3 to 3.9 cm3. The bulk modulus of the rock is ________ ×$10^6 N/m^2$. (In integer)

Match the minerals in Group I with their highest order of interference color in Group II (for 0.03 mm mineral thickness).

Group I	Group II
P. Bababudan Group	1. Eastern Dharwar
Q. Banded Gneissic Complex-I	2. Western Dharwar
R. Bonai Granite	3. Aravalli
S. Kolar Group	4. Singhbhum

A tunnel with vertical walls and arched crown is constructed through a set of sedimentary beds. The thickness of individual beds is significantly less than the wall-height of the tunnel. For which of the following conditions, one of the tunnel walls becomes unstable?

In the given isobaric binary temperature-composition (T-X) phase diagram involving solids A and B, the fraction of melt remaining at point Q for a magma having initial composition P will be _______. (Round off to one decimal place)

For the given Barrovian metamorphic sequence, which of the following statements are correct?

Match the sedimentary features/structures in Group I with the corresponding processes in Group II.

Group I	Group II
P. Stylolite	1. Liquefaction
Q. Pseudonodule	2. Diagenesis
R. Current crescent	3. Organo-sedimentary binding
S. Stromatolite	4. Scouring

Glossopteris is found in which of the following formations?

High drainage density is representative of a terrain with

In a mineral with formula $KAl_3Si_3O_{10}(F_{0.5}OH_x)$, the value of ‘x’ is ________ . (Round off to one decimal place)

For an anisotropic crystal of thickness 0.04 mm and refractive indices of 1.636 and 1.486 along the slow and fast directions, respectively, the retardation produced is ______ nm. (In integer)

Nickel ores are NOT associated with

Neutron-rich unstable nuclides undergo