1.
Draw the characteristic gamma-ray

spectra of Th and show their

energy peaks.

What are the places, in India, where

uranium and thorium ores are found 5


Discuss briefly the use of spinner

magnetometer for finding residual component of

magnetization.

Discuss briefly the ferrimagnetism in

minerals, and give at least one example.

When a ferrimagnetic material will

behave as paramagnetic material



Some of the high density oceanic

materials are having high velocity,

substantiate your answer with suitable

reason.

What is the principle of designing an

inverse filter to remove the water

reverberations due to first reflector.


What are the three adjustments made in

Bouguer gravity of land survey compared to

the Bouguer gravity at an ocean floor site.


What do you mean by a digital filter

Define Discrete Fourier Transform

and its Inverse Discrete Fourier

Transform (IDFT) for a given discrete

time series.







What is z-transform Explain the z-transform

for the sample values of a wavelet or sequence

of time series.


Discuss the energy sources and radiation

principles involved in electromagnetic remote

sensing techniques.


What will be the colour of water seen on

a photograph taken in a wavelength

between0·75µm- 1·3 µm? What is the

spatial resolution of IRS and Quickbird

sensors

If length between two photographs is

to be fixed as 0-85 km and speed of an

aeroplane is 170 km/hr, what should be

the time interval between the opening

of the shutter Find out how many

photographs will be snapped along a

profile line in 9 hours.


2.
Explain deconvolution.

Compute the inverse filter for the

normalized dipole 0.5) and show the

result of deconvolution of the signal

0.5, -1.5 using above

computed inverse filter response.



Write down the expression or Fourier

Transform for a 2·dimensional Bouguer

gravity anomaly.


Explain the role of low-pass and high

pass filters for the separation of region
and residual anomalies.


Show the example of 2-dimensional

maps of Bouguer, Regional and Residual

anomalies.


What do you mean by Auto-correlation

Find out the Auto-correlation o f finite

length wavelet. and plot

the same.


3. Define photogrammetry. Discuss briefly the

Importance of photogrammetry.



Derive an expression for parallax equation.


A tall building manifests a parallax difference

of 13-6 mm between its top and its base on

photographs taken from an altitude of 4000

metres above ground. I f the average photobase

is 108 mm, calculate the height of building.
•

4. Describe the working principle of a LaCaste·

Romberg gravimeter specially designed for

shipboard gravity survey.


What does the ocean floor magnetic

measurements indicate in terms of ocean floor

dynamics?



At a station 200 metres away from out-

cropping dyke, the spectrometric readings for

thorium and uranium are found to be as 25 and

36 counts/min. The constants k1 and k2 for

thorium and uranium channels are 0-6 and

0.13 respectively; and the stripping constants

for thorium y-rays in uranium channel is

one. Find the thorium and uranium contents in

parts per million.


What is that factor on which the strength of the

measured magnetic field depends in absorption

cell magnetometer Find out the gyro-

magnetic ratio of electron for measuring the

earth's magnetic field of 50000 gammas with

precessional frequency as 1400 kHz. How

aero-magnetic survey is earned out for base

metal exploration



5. Prove that Lx, Ly ihLz


where Lx Ly and Lz are the operators

corresponding to the and z-components

of the angular momentum respectively.


Find the energy levels of a particle of mass m

moving in the one-dimensional potential

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where ω is a real constant. Give reasons for

your answer.



Intensity I of e.m. waves passing through

a laser active medium is expressed

where α is absorption

coefficient and is a positive quantity;
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What is the basic requirement for am plifica­
lion of e.m, waves?


The spatial part of e.m. field in a cubic cavity

of side l is governed by

∇^2 (Helmholtz equation).

K is propagation vector. Solution of the

equation yields

Kx Ky m/L ,Kz n/L are


integers and represent number or modes that standing wave has along the y and z-directions respectively. Find the length of a parallel plane cavity for the longitudinal modes under resonance condition.








Explain, how the change between Crystalline

and Amorphous structure is used 10 record

the data in CDRW (Phase Change Device

Technology).



Draw the voltage current characteristics for

solar cell with a variable load at fixed solar

insolation. Specify typical value of efficiency

for modem solar cells in common use

nowadays.



Draw a sketch for a non-inverting unity gain

amplifier using an operational amplifier and

minimum possible number of external

components.


Define the following:



Geo-stationary orbit



Gain of an antenna


SFR in a microcontroller


Quantization error AJOconverter


Thermister








6.
State the limitations of Einstein's theory

for heat capacity of solids. How were these

circumvented by Debye Obtain the expression for

heat capacity based on Debye's theory.




The state of a particle of mass m in an infinite square well potential in one dimension

0 x a

∞ elsewhere



is described by

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Normalize the wave function and find A.




If energy is measured in this state, what

is the probability of finding the particle

in the first excited state


What is the average value of energy in

this state?



7.

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Consider the transition from 2P(ml 1

to the low er 2S state of hydrogen atom. Using

the following data, find the radiative life time

of the 2P state. Given

Ratio of Einstein coefficients:


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N longitudinal modes in a resonator of length,

are mode locked with constant difference, 6

and the modes have the same average amplitude, A.

The intensity of such a mode locked pulse is given

by


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where δω is frequency separation between two
modes.



Show that the temporal separation

between two mode locked pulses is equal

to one round trip 1ransil time of the

photon.




What is the length of a resonator to

achieve mode locked pulses having the

peak temporal separation of 10 ns



Assuming that time between the first

minim um and the first maximum is

approximately equal to the time duration,

td of the total gain profile (FNHM

find approximate number of oscillating

modes for td 0.1 ns.




8. a Draw functional block diagram of an eight

bit microprocessor and explain its working. Show

timing diagram for reading an instruction from

the memory and executing it.the memory and executing it.

Draw the truth table for logic expression




and realise it using basic logic gates.

Explain the uses of satellites placed in the

geostationary orbit and in the low altitude

orbit. What arc the cñ1cri1 used for selection

of uplink and downlink frequencies for the

satellite communication

Specify the most commonly used uplink and

downlink frequency bands for satellite communication.