List of practice Questions

Consider a ray tomography experiment, where the goal is to estimate the wave velocity of 9 square cells plotted in each of the cases A and B. The ray paths for source-receiver pairs for both these cases are shown in the figure. Select the correct statement.


 

Consider a steady-state heat conduction equation for the Earth’s crust where \( A \) is the heat source and \( k \) is the thermal conductivity. Given the boundary conditions: \( T = 0 \) at the surface and \( Q \) is the heat flux at the surface, Which one of the following options would be the temperature \( T \) at depth \( z \)?

For a horizontal liquid-solid interface as shown, which one of the following ray diagrams with an incident P wave is correct? SH and SV denote shear-horizontal and shear-vertical waves, respectively.


 

A geophysicist is analyzing the elastic-wave radiation to infer the body force equivalent of a seismic source. She has plotted the horizontal component of the displacement field, denoted as \( u(m, t) \), for time \( t \) and location \( m \). The measured field at two locations \( m \) and \( n \) is plotted in the figure. Note that \( S \) and \( P \) waves have negligible amplitudes at locations \( m \) and \( n \), respectively. Assuming a homogeneous medium, select the most probable direction (specified by the angle \( \alpha \)) along which the force \( \vec{F} \) is applied.


 

Select the correct statement regarding surface waves and upper mantle structure.
The components \(u\), \(v\), \(w\) of the displacement field along \(x\), \(y\), \(z\) directions, respectively, are given by: \[ u = - \sin(\omega t - kz) \] \[ v = \sin(\omega t - kz) \] \[ w = 0 \] where \(t\), \(k\), and \(\omega\) are time, wavenumber, and angular frequency, respectively. Assuming \(k\) is real, which one of the following describes the wave?
Which of the following d-block elements has the highest melting point?
At a given temperature, which of the following statements is correct regarding the solubility of a solid in a liquid?
Which of the following monomers undergo addition polymerization?
Which of the following is the polymer formed from acrylonitrile?
Which of the following plots gives a straight line for a zero-order reaction?
Approximate value of \( \cos 59^\circ \) is:
If \( x^y + y^x = a^b \), then \( \frac{dy}{dx} \) at \( x = 1, y = 2 \) is:
What is the correct order of thermal stability of the following carbonates?
BaCO\(_3\), MgCO\(_3\), SrCO\(_3\), CaCO\(_3\)
Evaluate the definite integral: \[ \int_{0}^{\frac{\pi}{2}} \frac{dx}{1 + (\cot x)^{101}} = ? \]
If \( a(u + x^2) = x \) and \( y - x^3 = a^2 \), then \( \frac{dy}{dx} \) at \( x = 1 \) is:
If seismic signals of periods greater than 10 s are of interest, the minimum sampling frequency should be ________ Hz. (Round off to one decimal place).
What is/are the primary effect(s) of applying upward continuation to magnetic field data?

The following figure shows a region in which rocks in areas A, B and C follow Hooke's law and are subject to the same stress. B exhibits lower strain than both A and C. What can we infer about the nature of B?


 

The following figure shows the GPS data at two stations located near each other at the same latitude. Station A is moving towards the west while station B is moving towards the east. Which one of the following options is correct?


 

In the schematic, line P shows a 1-D geothermal profile. If the heat flow at the base of the mantle increases, which line will reflect the new geothermal profile?


 

In a gravity survey that is being carried out in the vicinity of a large mountain, it was observed that the deflection of the plumb line from the vertical is less than what is calculated using the visible mountain mass. Which one of the inferences about the mountain is correct?
Which one of the options is correct about \( \beta^- \) decay?
Which one of the following factors leads to an abrupt increase in density at the mantle–outer core boundary?

When a bar magnet is pushed towards the coil, along its axis, as shown in the figure, the galvanometer pointer deflects towards X. When this magnet is pulled away from the coil, the galvanometer pointer