List of practice Questions

If a planet is made of uniform density material and has no topography, then which one of the following statements is correct?
Which one of the following options is the primary contributor to the International Geomagnetic Reference Field?
Diurnal correction in magnetic survey data accounts for:
Which one of these statements is NOT correct for electromagnetic waves travelling through the subsurface?
In resistivity measurements for a double-dipole system, the apparent resistivity is NOT affected by:
A scalar potential \( \psi \) of a vector field \( \vec{F} \) satisfies the Laplace equation \( \nabla^2 \psi = 0 \) in free space. \( \psi \) can be uniquely determined at any point inside the closed surface \( S \) using:
Consider the acceleration due to gravity \( g' \) at an altitude \( h \) of 50 km above the Earth's surface. If \( R \) is the radius of the Earth, and the acceleration due to gravity measured at the surface is \( g \), the ratio of \( \frac{g'}{g} \) is ________. (Assume \( h \ll R \), \( R = 6370 \, {km} \), and round off to two decimal places.)
Consider a geophysical inverse problem of the form \( \mathbf{d} = \mathbf{G} \mathbf{m} \), where \( \mathbf{G} \) is the forward operator, \( \mathbf{m} \) is the model vector and \( \mathbf{d} \) is the observed data vector. The Earth model parameters can be estimated using \( \mathbf{m}_{{est}} = \mathbf{H} \mathbf{d} \), where \( \mathbf{H} \) is the pseudoinverse of \( \mathbf{G} \). Given \( \mathbf{G} = \mathbf{U} \Sigma \mathbf{V}^T \) as the singular value decomposition of \( \mathbf{G} \), and assuming \( \mathbf{G} \) is full rank, which of the following options is/are correct?
Half-life of \(^{14}C\) is 5730 years. Suppose we start with 1 billion \(^{14}C\) atoms, and after a certain interval of time only 125 million \(^{14}C\) atoms remain, the number of half-lives that has elapsed is ________ (Answer in integer).
When an external magnetic field of strength \(1.5 \times 10^{-3}\) A/m is applied to a rock sample, the measured intensity of magnetization is \(0.5 \times 10^{-3}\) A/m. The magnetic susceptibility of this rock is ________ (Round off to two decimal places).
F denotes force, A denotes area, L denotes length, and \( \Delta L \) is the change in length due to the applied force. Assuming linear elasticity, select a relationship where the constant of proportionality is a material property independent of the dimensions of the body.
The working of the proton-precession magnetometer is based on:
If ∫ (2x + 3)/((x - 1)(x^2 + 1)) dx = log_x {(x - 1)^(5/2)(x^2 + 1)^a} - (1/2) tan^(-1)x + C, then the value of a is:
Find the value of the integral: ∫ (2x + 3)/((xy)(x^2 + 1)) dx
Who among the following developed the notion of intersubjectivity on which Stanley Fish’s idea of ‘interpretive communities’ rests?
In The Importance of Being Earnest Oscar Wilde repeatedly uses the term ‘Bunbury’. It refers to the ________

Which of the following statement(s) aptly describe(s) the novel, I Shall Not Hear the Nightingale?

Which of the following novels has/have been written by the novelist who also wrote A Goddess Named Gold?

Which of the following political position(s) is/are advocated in Ngũgĩ Wa Thiong’O’s work Decolonising the Mind?

“I resemble everyone/but myself, and sometimes see/in shop-windows,/despite the well-known laws/ of optics,/the portrait of a stranger,/date unknown,/often signed/in a corner/by my father”
“Here was I, the white man with his gun, standing in front of the unarmed native crowd–seemingly the leading actor of the piece; but in reality I was only an absurd puppet pushed to and fro by the will of those yellow faces behind. I perceived in this moment that when the white man turns tyrant it is his own freedom that he destroys. He becomes a sort of hollow, posing dummy, the conventionalised figure of a sahib.”
“I have read translations of the most celebrated Arabic and Sanscrit works. I have conversed both here and at home with men distinguished by their proficiency in the Eastern tongues. I am quite ready to take the Oriental learning at the valuation of the Orientalists themselves. I have never found among them who could deny that a single shelf of a good European library was worth the whole native literature of India and Arabia.”
Which of the following statement(s) is/are true of Queer Theory?
Which of the following characteristic(s) is/are associated with Renaissance Humanism?
Alexander Pope produced an edition of Shakespeare in 1725, for which, he was vehemently criticized by the Shakespearean scholars of his time. One of the scholars exposed Pope’s mistakes in his Shakespeare Restored (1726). Pope retaliated by making this scholar the occupant of the throne of dullness in his The Dunciad. Who among the following is/are NOT the Shakespearean scholar(s) alluded to?