Exam Details
| Subject | geophysics | |
| Paper | paper 1 | |
| Exam / Course | combined geo-scientist and geologist | |
| Department | ||
| Organization | union public service commission | |
| Position | geologist | |
| Exam Date | 2017 | |
| City, State | central government, |
Question Paper
1. Give brief account of characteristics of planets which must be satisfied by the theories propounded for the origin of solar system.
1. Define "magnitude" of an earthquake and its various scales of measurements. Write an empirical relation between magnitude and intensity.
Derive the expression for the generalized least squares solution.
Write the Maxwell's equations for free space in differential and integral form.
Discuss the principle of radioactive methods of determining age of the earth by defining decay constant and half life.
Explain P-shadow zone in a standard earth model. List Any three seismic phases which are observed in the P-shadow zone. Draw the travel path of the listed seismic phases.
Explain Free-Air and Bouguer. Discuss with schematic sketches, the Free-Air and Bouguer anomalies observed over mountain ranges which are isostatically
compensated and uncompensated respectively.
3. Write short note on Receiver Functions.
3. Define 'hypocenter and 'epicenter' of an earthquake and classify earthquakes on the basis of focal depths. Explain the Benioff-Wadati zone with a figure.
3. Explain under determined, over determined, mixed determined and even determined problems with an example for each.
4. Define magnetic susceptibility. Discuss the secular and diurnal variations of the earth's magnetic field. Explain geomagnetic storms and their effects.
Explain the differences between seismometer, accelerometer and displacementmeter. Write short note on 'Broadband seismograph'.
4. Explain using travel time versus epicentral distance plots, how a high velocity zone and a low velocity zone in the earth are identified.
5. Explain the iterative method of estimating the hypocentral parameters of an earthquake. Explain the factors leading to uncertainties in the location of
hypocenters,
List in a tabular form the geophysical and geological characteristics of a typical oceanic and a stable continental crust.
Define the condition number for a normal matrix. explain a well-conditioned and an ill-conditioned matrix. Explain the trade off of resolution and variance with a figure.
6. Evaluate the integral
src='./qimages/7979-6a.jpg'>
using the method or contour integration and verify
the result by using the conventional method of integration
Use the relation
src='./qimages/7979-6b.jpg'>
to show that the internal energy of an ideal gas is a function of temperature alone. Calculate change in entropy of an ideal gas and the universe when this gas undergoes a reversible isothermal expansion from volume Vo to 2Vo
Explain Ampere's circuital law in magnetostatics. Elaborate the steps adopted by Maxwell in modifying this equation for time-dependent fields.
Explain the interaction of solar radiation with the neutral atmosphere.Which portion of the solar radiation is responsible for formation of ionosphere.
7. Evaluate ∇ and show that ∇x(r where is any arbitrary function of
7. Show that ∇(r only if Cr^n-1
with n -2. Here C is a constant.
Find eigenvalues and eigenvectors of the matrix
0 i
σy
0
8. Derive an expression for the Bose distribution function and discuss that the chemical porcnrial of an ideal Bose gas is always negative.
8. Show that an ideal Bose gas undergoes Bose-Einstein Condensation at a finite temperature Tc) when cooled from high temperature keeping number density fixed.
9. Explain the phenomenon of the Debye shielding in plasma and derive the expression for the Debye length.
find the debye length on distance galaxy containing a cloud of protons and anti protons, each with density n=10^6 and temperature 100 K.
Derive the equations satisfied by the vector potential and the scalar potential if one uses the Lorentz gauge condition.
A uniform plane wave propagating in a material medium has the electric field
sin(10^8 V/m Find attenuation and propagation constants α. and β if the medium is characterized by µr=20 and σ=3 mho/m.
10.(a) Describe height profile of thermal structure of the atmosphere indicating the cause of variation in different layers of atmosphere.
10.(b} Define ionospheric irregularities and differentiate between Sporadic-E and Spread-F irregularities.
10.(c) Explain different types of errors in GPS measurements. Calculate range error in £1 signal due to presence of ionosphere having total electron contents of 5 TECU.
1. Define "magnitude" of an earthquake and its various scales of measurements. Write an empirical relation between magnitude and intensity.
Derive the expression for the generalized least squares solution.
Write the Maxwell's equations for free space in differential and integral form.
Discuss the principle of radioactive methods of determining age of the earth by defining decay constant and half life.
Explain P-shadow zone in a standard earth model. List Any three seismic phases which are observed in the P-shadow zone. Draw the travel path of the listed seismic phases.
Explain Free-Air and Bouguer. Discuss with schematic sketches, the Free-Air and Bouguer anomalies observed over mountain ranges which are isostatically
compensated and uncompensated respectively.
3. Write short note on Receiver Functions.
3. Define 'hypocenter and 'epicenter' of an earthquake and classify earthquakes on the basis of focal depths. Explain the Benioff-Wadati zone with a figure.
3. Explain under determined, over determined, mixed determined and even determined problems with an example for each.
4. Define magnetic susceptibility. Discuss the secular and diurnal variations of the earth's magnetic field. Explain geomagnetic storms and their effects.
Explain the differences between seismometer, accelerometer and displacementmeter. Write short note on 'Broadband seismograph'.
4. Explain using travel time versus epicentral distance plots, how a high velocity zone and a low velocity zone in the earth are identified.
5. Explain the iterative method of estimating the hypocentral parameters of an earthquake. Explain the factors leading to uncertainties in the location of
hypocenters,
List in a tabular form the geophysical and geological characteristics of a typical oceanic and a stable continental crust.
Define the condition number for a normal matrix. explain a well-conditioned and an ill-conditioned matrix. Explain the trade off of resolution and variance with a figure.
6. Evaluate the integral
src='./qimages/7979-6a.jpg'>
using the method or contour integration and verify
the result by using the conventional method of integration
Use the relation
src='./qimages/7979-6b.jpg'>
to show that the internal energy of an ideal gas is a function of temperature alone. Calculate change in entropy of an ideal gas and the universe when this gas undergoes a reversible isothermal expansion from volume Vo to 2Vo
Explain Ampere's circuital law in magnetostatics. Elaborate the steps adopted by Maxwell in modifying this equation for time-dependent fields.
Explain the interaction of solar radiation with the neutral atmosphere.Which portion of the solar radiation is responsible for formation of ionosphere.
7. Evaluate ∇ and show that ∇x(r where is any arbitrary function of
7. Show that ∇(r only if Cr^n-1
with n -2. Here C is a constant.
Find eigenvalues and eigenvectors of the matrix
0 i
σy
0
8. Derive an expression for the Bose distribution function and discuss that the chemical porcnrial of an ideal Bose gas is always negative.
8. Show that an ideal Bose gas undergoes Bose-Einstein Condensation at a finite temperature Tc) when cooled from high temperature keeping number density fixed.
9. Explain the phenomenon of the Debye shielding in plasma and derive the expression for the Debye length.
find the debye length on distance galaxy containing a cloud of protons and anti protons, each with density n=10^6 and temperature 100 K.
Derive the equations satisfied by the vector potential and the scalar potential if one uses the Lorentz gauge condition.
A uniform plane wave propagating in a material medium has the electric field
sin(10^8 V/m Find attenuation and propagation constants α. and β if the medium is characterized by µr=20 and σ=3 mho/m.
10.(a) Describe height profile of thermal structure of the atmosphere indicating the cause of variation in different layers of atmosphere.
10.(b} Define ionospheric irregularities and differentiate between Sporadic-E and Spread-F irregularities.
10.(c) Explain different types of errors in GPS measurements. Calculate range error in £1 signal due to presence of ionosphere having total electron contents of 5 TECU.