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Common University Entrance Test
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Geophysics
List of top Geophysics Questions asked in Common University Entrance Test
The position vector of a point in the frame S moving with constant velocity 10 cm/s along the X-axis is given by (11,9.8) cm. The position with respect to S if the two frames were coincident only 1/2 second earlier.
CUET (PG) - 2024
CUET (PG)
Geophysics
Mechanics and wave Motion
In an LCR circuit with L = 2 mH, C = 2 µF, and R = 0.2 , the quality factor will be
CUET (PG) - 2024
CUET (PG)
Geophysics
Mechanics and wave Motion
In the matrix equation: \[ \begin{bmatrix} 3 & -1 \\ 2 & 5 \end{bmatrix} \begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} 4 \\ -3 \end{bmatrix}, \] the values of \( x \) and \( y \) are:
CUET (PG) - 2024
CUET (PG)
Geophysics
Mathematics
The equation of motion for a compound pendulum is:
CUET (PG) - 2024
CUET (PG)
Geophysics
Mechanics and wave Motion
If the radius of curvature of the Folium \( x^3 + y^3 - 3xy = 0 \) at the point \( (3/2, 3/2) \) is 5, then the value of \( b^2 + 2a + 1 \) is:
CUET (PG) - 2024
CUET (PG)
Geophysics
Mathematics
Statement (I): If a given component of the total applied force vanishes, the corresponding component of the linear momentum is not conserved.
Statement (II): If the component of applied torque along the axis of rotation vanishes, then the component of total angular momentum along the axis of rotation is conserved.
Choose the most appropriate answer:
CUET (PG) - 2024
CUET (PG)
Geophysics
Mechanics and wave Motion
Let P and Q be two matrices such that P Q = 0 and P is non-singular, then
(a) Q is also non-singular
(b) Q = 0
(c) Q is singular
(d) P = Q
Choose the correct answer from the options given below:
CUET (PG) - 2024
CUET (PG)
Geophysics
Mathematics
The shortest distance between the lines
\[\frac{x-1}{2} = \frac{y-2}{3} = \frac{z-3}{4}\]
and
\[\frac{x-2}{3} = \frac{y-4}{4} = \frac{z-5}{5}\]is:
CUET (PG) - 2024
CUET (PG)
Geophysics
Mechanics and wave Motion
The value of curl (\(\text{grad } f\)), where \( f = x^2 - 4y^2 + 5z^2 \), is:
CUET (PG) - 2024
CUET (PG)
Geophysics
Mathematics
LIST I
LIST II
A.
Intrinsic semiconductor
I. Used as a rectifier circuit
B.
N-Type Semiconductor
II. Pure form of Semiconductor
C.
P-Type Semiconductor
III. Doping of pentavalent impurity in semiconductor
D.
P-N Junction diode
IV. Doping of trivalent impurity in semiconductor
Choose the correct answer from the options given below:
CUET (PG) - 2024
CUET (PG)
Geophysics
Mechanics and wave Motion
The shape of air film formed between the plano-convex lens and the glass slab in Newton’s ring experiment is
CUET (PG) - 2024
CUET (PG)
Geophysics
Optics
Given below are two statements
Statement I Every homogeneous equation of second degree in x y and z represents a cone whose vertex is at the origin
Statement II If two equations representing the guiding curve are such that the one equation is of the first degree then the required cone with vertex at the origin is obtained by making the other equation homogeneous with the help of the first equation
Choose the most appropriate answer from the options given below
CUET (PG) - 2024
CUET (PG)
Geophysics
Mechanics and wave Motion
If \[ \theta = r e^{-x^2}, \] then for what value of \( n \), the following holds: \[ \frac{1}{2} \left( \frac{\partial^2 \theta}{\partial x^2} - \frac{\partial^2 \theta}{\partial r^2} \right) = \frac{\partial \theta}{\partial x}. \]
CUET (PG) - 2024
CUET (PG)
Geophysics
Mathematics
Given below are two statements:
{Statement (I):} Two families of curves such that every member of either family cuts each member of the other family at right angles are called orthogonal trajectories of each other.
{Statement (II):} The orthogonal trajectories of the curve \( xy = c \) is \( y = \frac{1}{x} \).
Choose the most appropriate answer from the options given below:
CUET (PG) - 2024
CUET (PG)
Geophysics
Mechanics and wave Motion
In a Fraunhofer N-slit diffraction experiment, a grating has $5000$ lines/cm, and monochromatic light of wavelength $5 \times 10^{-5}$ cm is used. What is the highest order spectrum that may be observed?
CUET (PG) - 2024
CUET (PG)
Geophysics
Optics
The general solution of the differential equation \[ \frac{d^2y}{dx^2} - 5\frac{dy}{dx} + 6y = e^x \cos 2x \] is:
CUET (PG) - 2024
CUET (PG)
Geophysics
Mechanics and wave Motion
The value of the integral \[ \oint_C \left[ (x^3 + xy) \, dx + (x^2 - y^3) \, dy \right] \] where \( C \) is the square formed by the lines \( x = \pm 1, y = \pm 1 \), is:
CUET (PG) - 2024
CUET (PG)
Geophysics
Mathematics
Given below are two statements:
Statement (I): If F is an irrotational vector field, then the angular velocity of the vector field is always greater than zero.
Statement (II): For a solenoidal vector function, the divergence is always zero.
Choose the most appropriate answer from the options given below:
CUET (PG) - 2024
CUET (PG)
Geophysics
Mechanics and wave Motion
Match List I with List II:
List I
List II
A. Fraunhofer Diffraction
I. Interaction of the light waves from two different wave fronts.
B. Fresnel Diffraction
II. The distance between the source and the screen are effectively at infinite distance.
C. Interference of Light
III. It’s a phenomenon in which the wave vibrations are restricted to a particular direction in a plane.
D. Polarization of Light
IV. The source and screen or both are at finite distances from the aperture or obstacle.
Choose the correct answer from the options given below:
CUET (PG) - 2024
CUET (PG)
Geophysics
Optics
Match List I with List II:
LIST I
LIST II
A. Maxwell's First Equation
I. Modified Ampere's Law
B. Maxwell's Second Equation
II. Faraday's Laws of Electromagnetic Induction
C. Maxwell's Third Equation
III. Gauss Law in Electrostatics
D. Maxwell's Fourth Equation
IV. Gauss Law in Magnetostatics
Choose the correct answer from the options given below:
CUET (PG) - 2024
CUET (PG)
Geophysics
Electromagnetic Theory and Electronics
The general value of \( \log(1 + i) + \log(1 - i) \) is:
CUET (PG) - 2024
CUET (PG)
Geophysics
Mathematics
The value of tan(i log 2 − i√3 / 2 + i√3) is
CUET (PG) - 2024
CUET (PG)
Geophysics
Mathematics
The surface integral \[ \iint_S \mathbf{F} \cdot d\mathbf{S} \] where \( \mathbf{F} = x\hat{i} + y\hat{j} - z\hat{k} \) and \( S \) is the surface of the cylinder \( x^2 + y^2 = 4 \) bounded by the planes \( z = 0 \) and \( z = 4 \), equals:
CUET (PG) - 2024
CUET (PG)
Geophysics
Mathematics
The asymptote of the spiral \( r = \frac{\theta}{\sin \theta} \) is:
CUET (PG) - 2024
CUET (PG)
Geophysics
Mathematics
In the system of linear equations AX = B, if A is a singular matrix and B is a null matrix, then which of the following is correct?
CUET (PG) - 2024
CUET (PG)
Geophysics
Mathematics
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