2ND Sem Ext QP
2ND Sem Ext QP
Unit-I
Q2. a) Explain the concept of food chain, food web and ecological pyramid. (4.5)
b) Discuss the consumptive and productive values of biodiversity. (4)
c) What do you understand by ecological succession? (4)
Unit-III
Q6. Write short notes on the following: (4+4+4.5)
a) Biochemical effect on Mercury b) Photo-biodegradable polymers'
c) Waste water treatment
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Unit-IV
Q8. Write short notes on the following: (4+4+4.5)
a) Flood Disaster Management Map
b) Problems of urbanization
c) Environment Impact Assessment
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1
Q3 Write the homophones of the given words: (10 x -2 = 5)
(i) maize (ii) rain (iii)pale (iv)ring (v)hue
(vi)queue (vii) carrot (viii)allowed (ix) break (x) all.
P.T.O.
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Q8
.
Write a paragraph on anyone topic:
(a) An encounter that changed your life. (5)
(b) Adults are merely obsolete children.
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Q2 Derive the expression of the ratio of tensions for the belt pulley system.
(12.5)
Q3 Find the forces in all the members of the truss shown in figure. (12.5)
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Q7 Draw the shear force and bending moment diagram for the beam shown
in figure. , j
(12.5)
15 KN pi t<N
A ,
k--
~"C{"r'''Y"Y\,_,.'~ _
+ ----
._-.
B
l' L:) 1KN/rn
,
( , ~,;_ B
.u:-.
I.
-:/...., 'rn/ S
r", ~~.- ...
V '.J J
I,: ; 1 : :/ 1
y. j
(b) A stone falls freely from rest and total distance covered by it in last
second of its motion equals the distance covered by it in first three
seconds of its motion. Determine the time in which the stone remains
III air. (6.5)
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Unit-I
Q2 (a) Derive Maxwell's equation and express it in integral form. Give the
physical significance of each. (8)
(b)Write down the equation of continuity and mention its physical
significance. (2)
(c) A plane electromagnetic wave is travelling in an unbounded lossless
dielectric medium with relative permeability Jir = 1 and permittivity
e; = 3. Find the velocity of the wave and the impedance of the
medium. (2.5)
Q3 (a) Derive Poynting theorem from Maxwell's equations and give its
'1 interpretation. (6)
(b) Show that in free space the direction of flow of electromagnetic energy
is along the direction of wave propagation. (4)
(c) Find the skin depth at a frequency of 90 Hz in aluminium where
c = 3.54 X 107 mhojm. Also find the wave velocity. (2.5)
Unit-II
Q4 (a) Distinguish between a boson and a fermion. Give one example each.(4)
(b)Write down the Planck's formula for the distribution of energy in
spectrum of blackbody. Show that Rayleigh-Jean's law and Wein's
Law are special cases of Planck's radiation law. (5)
(c) Draw a neat diagram showing the energy distribution spectra of
blackbody radiation. Explain how classical theory fails to explain the
spectral distribution of energy. (3.5)
P.T.O.
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Unit-III
Q7 (a) What are Schottky and Frenkel defects? Obtain an expression for
concentration of Schottky defects in a crystal. (6)
(b) Why do we use X-rays to study crystal diffraction? Is it possible to
observe diffraction pattern if radiation of wavelength 2 x 10-6 m is
incident on a crystal with interplanar separation of 10-8 cm? Justify.(4)
(c) Lead has fcc structure and its body diagonal is 0.86 nm. When X-rays
o
Unit-IV
Q8 (a) What are Brillouin zones? How are they related to the energy levels of
an electron in a metal? (4)
(b) Define the effective mass of electron. Obtain an expression for
effective mass of an electron moving in a periodic potential. (5)
(c) Where does Fermi level lie in an n type semiconductor? Discuss the
effect of temperature and doping concentration on the position of the
Fermi level in an n type semiconductor. (3.5)
Q9 (a) What is Hall effect? Derive an expression for Hall coefficient. Explain
how the measurement of Hall coefficient helps to determine the
mobility of electron in metals. (7)
(b)The Hall voltage for the metal sodium is 0.001 mV, measured at
I = 100mA, B = 2 Wb/m2 and width of the specimen is 0.05 mm.
Calculate the number of carriers percubic meter in sodium. (3)
(c) Distinguish between intrinsic and extrinsic semiconductors. (2.5)
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Unit-I
Q3 (a) Explain the band structure of open circuited p-n junction. (6.5)
(b) Explain how semiconductor parameters vary with temperature. (6)
Unit-II
Unit-III
Q7 (a) Draw Ebers-Moll model for a PNP Transistor and give the equations
for emitter current and collector current. (6.5)
P.T.O.
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Unit-IV
Q9 (a) What are Analog and Digital Signals? Why binary number system is
preferred in digital systems. (6.5)
(b) Minimize the following function using the Booleans algebra: (6)
Y = ABeD + ABC D + ABCD + ABeD + ABeD + ABeD + AB CD + ABeD.
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Unit-I
Q2. a) Expand f(x,y)= x2y +3y-2 in powers of x -1 and y+ 2 using Taylor's
expansion. (6.5)
b) If x+ y+z= u, y+z=uv, z= uvw, show that (6)
o(x,y,z)
--'---'---'- = u 2 v.
o(u, v, w)
Q3. a) A rectangular box, which is open at the top has a capacity of 256
cubic feet. Applying Lagrange's method of undetermined
multipliers determine the dimensions of the box such that the least
material is r.equired for the construction of the box. (6.5)
b) If z= f(x,y) where x= e cos v and y= e sin v, show that
U U
oz
y-+x-=e- OZ OZ
-. 0\ (6)
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Unit-II
Q4. a) Find the inverse Laplace transform of s+~ (6.5)
s(s -I)(s< + 4)
b) Find the Laplace transform of unit step function u(t-a), also find
the Laplace transform of t2u(t-3). (6)
Q5. a) Using Laplace transform solve the following differential equation. (6.5)
ii) r0
sint d
-t- t.
P.T.O.
Unit-Ill
Q6. a)
Find the image of I z I =1 under the transformation co = _.i -_,z onto
the w plane. l+z
b) (6.S)
Show that the function z I z I is not analytic anywhere.
(6)
Q7. a) Expand
fez) = 1
,J < I. z I <2.
(z-l)(z-2) (6.S)
b) Using contour integration in complex plane evaluate
(" dB (6)
Jo 3 + 2eas e
Unit-IV
Q8. a)
Evaluate f f (x2+y2)dxdy throughout the area enclosed by the curves
y=4x, x+y=3, y=O and y=2. (6.S)
Q9. a)
Apply Stoke's theorem to calculate f 4ydx + 2zdy + 6ydz, where C is
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Q2 (a) Differentiate between auto, static, extern local and global variable
with respect to their lifetime, scope and access rights. (6)
(b) Differentiate between do-while and while-do loop with the help of an
ex~mple. (6.5)
Q3 (a) Write a program in C which reads a string and after finding its length,
program print back the string in reverse order. Do not use any in built
function. (6)
(b) What do you mean by enumerated data types? Are they different from
strings? Explain their use. '(6.5)
Q5 Give function name, syntax and corresponding header file to achieve the
following:- . . (12.5)
(a) To open a file in read mode.
(b)To clear the input buffer.
(c) To clear the output buffer.
(d)To read the buffered strings.
(e) To read the character Un-buffered.
(1) To read the whole line from input.
Q6(a) Write a program in C which reads an array of size n, find how many
numbers in the array are even, odd and count them and print the
information. (6)
(b) Write a program in C which reads a array of integers. Each element of
. the array is replaced by its square. Print back the array. (6.5)
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UNIT-I
Q2 (a) What are energy bands? How are these formed? Distinguish between
a conductor, an insulator and a semiconductor on the basis of energy
diagram. (6.5)
(b) A slice of intrinsic silicon bar is 3mm long and has a rectangular
cross section 50~m *10~m. At 300K, determine the electric field
intensity in the bar and the voltage across the bar when a steady
current of 2~ is measured.
Take the value of resistivity=2.30* lOsOcm at room temperature (300K).(6)
Q3 (a) Define diffusion capacitance. Derive an expression for the same. (6)
(b) Show that the Fermi level of an intrinsic semiconductor lies much
closed to the middle of the band gap. How does the intrinsic carrier
density depend upon the band gap? (6.5)
UNIT-II
Q4 (a) Name the important process that occurs during the formation of a p-n
junction. Explain briefly with the help of suitable diagram, how a p-n
junction is formed. Define the term 'barrier potential'. (6.5)
(b) Why is Zener diode considered as a special purpose semiconductor
diode? Draw the I-V characteristics of Zener diode. Describe briefly
with the help of a circuit diagram how a Zener diode works to obtain a
constant DC voltage from the unregulated DC output of a rectifier. (6)
P.T.O.
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UNIT-III
Q6 (a) For the circuit shown in the figure given below, find Ie, VB,VE, Rd6.5)
Vec. ~ H1 V
Ylo k...tl.
'Vc.:: \ 2.. V
f:. ~ \~
v o' I··'
B
1---,0 'VE
1,2. k,..!l-
(b) What is biasing? Discuss the factor which causes bias instability in a
transistor. (6)
Q7 (a) Draw and explain the input and output characteristics of a transistor
in CB configuration. Indicate the cut off saturation and active region.(6.5)
(b) Find the operating point for the voltage divide bias circuit with ~=80
and VBE=0.6 V. Find the new operating point when ~ changes to 100
and VBEchanges to 0.25V. Given Vcc=15 V, R1=100Kn, R2=18 KG,
Rc=4.7 xo, RE=lKO. (6)
UNIT-IV
Q8 (a) Draw the hybrid 1t model of a transistor and explain the significance of
each component in the model. (6.5)
(b) Explain the I-V characteristics of N channel enhancement mode
MOSEFT an.d indicate the distinct regions of operation. (6)
Q9 (a) Explain the neat circuit diagram, the operation and characteristics of
a JFET. Distinguish between n- channel and p-channel JFET. (6.5)
(b) Determine the minimum cost SOP expressions for the function
F(Xl,X2,X3,X4)
= 2:m(4,6,8,10,12,15)+ D(3,5,7,9) (6)
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UNIT-I
UNIT-III
... P.T.O .
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(Please write your Exam Roll No.) Exam Roll No .
(b) Describe the theme of "What I Believe"/ "Work Brings Solace". (7)
(c) Give a technical description of anyone of the following:- (8)
A pen drive, a solar panel, natural geyser,
Q2 (a) Fill in the blank with suitable prepositions (any 5):- (2.5)
(i) The crowd pressed the wall.
(ii) He was wandering the forest.
(iii)He inquired ..•............. the matter.
(iv)We should not quarrel.. pretty affairs.
(v) I am angry your going without leave.
(vi)He lives Mumbai.
(b) Fill in the blanks with the correct tenses of the words given In
brackets:- (4)
(i) If he hadn't (be) ill, he (attend, meeting) .
(ii)They (can, win) the competition if (work, hard) .
(iii)What (he, do) when you reached there.
(iv)He (write) a letter to his grandfather yesterday.
P.T.O.
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Q3 (a) Make sentences with the following phrasal verbs, idioms to clarify
their meaning (any 4):-
back up, tell upon, pull together, gift of the grab, account for, sit on
the fence, cut down. (4)
(b) Give the antonyms of the following word using appropriate prefixesr-
Centralize, loyal, violence, accurate. . (2)
Q4 (a) Read the following passage and answer the questions that follow:-
Man has always dreamed of, but never actually lived in, a Garden of
Eden. It is of essence of the human condition that man lives not in a
complaint but in a resistant environment, an environment which he
must constantly make an effort to control, if he cannot wholly master
it. Man's physical and social situations are ever setting tasks for him
in which he must somehow efficiently adapt means to ends. For if it is
inherent in man's situation to have to expand 'efforts' to cope with the
environment, it is also in his nature to have a limited amount of
energy for this general effort. Man everywhere and at all ,times,
therefore, has had to make at least some this effort efficiently and
economically.
(Bernard Barber)
(i) In what sort 'of atmosphere does a man live? (2)
(ii)What is inherent in man? ' (2)
(iii)Write a precis of the passage. (3.5)
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(Pleasewrite your Exam Roll No.) Ex:am Roll No .
Q1 (a) Change the order of integration in the following integral and evaluate:
r4 r2#X
Jo Jx2 dy dx. (4)
4a
~ (b) Prove that the function sinh z is analytic and find its derivative. (4)
(c) The 2rr - periodic function f(t) is given by fet) = a sin cot , 0 < t < tt
w w
tt 2rr
=0 -<t<-
w w
Find its Laplace transform. (4)
dz .
(d) If z = .Jx2 + y2 and x3 + y3 + 3axy = Sa2, find the value of dx' when
x = y = a. . (4)
(e) Expand tan-l~ in the neighborhood of (1, 1) using Taylor's Theorem.(4)
x
a (u v) y2_x2
(f) If u3 + v3 = X + y, u2 + v2
, = x3 + y3 ' show that --'-
a (x,y) =.
24 v (u-v)
. (5)
Unit-!
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Q2 (a) Ifu =f (r,s,t),
.
where r
x
x
y
- y
y z
= -.xz
Prove that x-a + Y-a + z-a = 0.(6)
= -,S = -,t z
(b) If the sides and angles of a triangle ABC vary in such a way that its
circum radius remains constant, prove that ~
cas A
+~
cas B
+ .ss:
cas c
= 0.(6.5)
Q3 (a) Find the maximum and minimum distances from the origin to the
curve Sx2 + 6xy + Sy2 - 8 = a. (6)
2
(b) Solve the following differential equation (x ~ y2 - Z2)p + 2xy q = 2xz.(6.5)
Unit-II
2
Q4 • (a) If L (t sin wt) = (2
S
WS )2'
+w 2
Evaluate: L (wt cas wt + sin wt). (4)
(b) Solve dy
dx
+y = cos Zt , yea) = 1, using Laplace transformation. (6.5)
P.T.O.
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Unit-III
eZdz
(b) Evaluate: ~c (Z-l )(z+3 )2 where c: I z I == 10.
(6.5)
Q7 . a2_b2
. (a) Show that the transformation w = z + --4z
transforms the circle of
radius ~,2 centre at the origin, in the z-plane into an ellipse of semi
axes a and b in the w -plane. (6.5)
Unit-IV
Q8 (a) Ifr = Xl + yJ + zk and Irl = r. Show that div r", r = (n + 3)rn. (6)
(b) Evaluate ~c F. (£. by Stoke's Theorem. Where F = y2l + x2J _ (x + z) k
and C is the boundary of the triangle with vertices at (0, 0, 0), (1, 0, 0)
and (1, 1, 0). (6.5)
Q9
(a) Evaluate the follOwingintegral fa1 faVI-x faxyz
..jl-x2_y2 2
dzdy dx.
(6)
(b) Apply divergence theorem to find J fs F. it ds,
where
F = (2x + 3z)l- (xz + y)J + (y2 + 2z)k and S is the surface
of the
sphere having centre .at (3, -1, 2) and radius 3.
(6.5)
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Q3 Two blocks A and B are connected by a horizontal rod and are supported on two
rough planes as shown in Figure 2. If weight of block B is 1500N and coefficient
of friction of block A and B are 0.25 and 0.35 respectively, find the smallest
weight of block A for which the equilibrium exist. (12.5)
UNIT-II
Q4 Determine the forces in the members BC, CE and DE of a truss loaded and
supported as shown in Figure 3. (12.5)
Q5 Determine the moment of inertia of a cast iron section shown in Figure 4 about
both X and Y axis. (12.5)
UNIT-III
Q6 In a system of connected bodies (Figure 5) the pulleys are frictionless and of
negligible weight. Determine the value of weight A required to give 0.6g
acceleration to weight B (i) in downward direction (ii) in upward direction. (12.5)
Q7 Two smooth spheres A and B having a mass of 2kg and 4kg respectively collide
with initial velocities as shown in Figure 6. If the coefficient of restitution for the
spheres is e = 0.8, determine the velocities of each sphere after the impact.( 12.5)
UNIT-IV
Q8 Draw the shear force and bending moment diagram for the cantilever beam
loaded as shown in Figure 7. (12.5)
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(Please write your Exam Roll No.)
Exam Roll No .
. END TERM EXAMINATION
SECOND SEMESTER
Paper Code: ETPH 104 MAY-JUNE 2016
Q2. a) Unit-I
Show that the trajectory of motion of a charged particle in crossed
electric and magnetic fields (constant) is a cycloid. (6)
b)
What is skin depth in electromagnetic? Does it depend upon the
frequency of the electromagnetic radiation? (2.5)
c)
Write the Maxwell equations in differential form and state their
significance. (4)
Q3. a)
An electric field in a region is given by E= -3i +4j -5k. Calculate
·b)
the electric flux through the surface S= 2.0 X10-sm2. (2.5)
Discuss continuity equation. Distinguish between conduction
current and displacement current. (4)
c)
If the earth receives 20 call mini sq em solar energy, what are the
d) amplitudes of electric and magnetic fields of radiation? (4)
A 2kW laser beam is concentrated by a lens into cross-sectional
area about 10-6 crn-. Find the Poynting vector. (2)
P.T.O.
[2}·
Unit-II
Q4. a) Using the uncertainty principle
show that an electron does not
exist inside a nucleus. (4)
b) Describe Davission-Germer experiment. Find the lowest energy in
eV, for an electron in one dimensional box of length a ==O.2nm. (6)
c) d2
The eigenfunction of an operator -2 f//(X) ==e": Find the
dx
corresponding eigen value.
(2.5)
Q5. a)
What type of statistics shall be application for a gas of photon?
. Justify your answer. (2.5)
b) Compare the qualitative features of Maxwell-Boltzmann, Bose-
Einstein and Fermi-Dirac statistics on the basis of their functions. (6)
c) Show that Bose Einstein, Fermi Dirac statistics reduces to Maxwell
Boltzamann statistics at high temperature. (4)
Unit-III
Q6. a)
Chromium has structure. It has atomic radius IS O.125nm.
Calculate the free volume/unit cell. (4)
b) Describe with a proper diagram the following terms: (a) Unit Cell,
(b) Packing factor, (c) Coordination Number (d) fee. (4)
c) Deduce the Miller indices of a plane which cuts off intercepts in
the ratio la: 3b: -2c along the three axes. (2)
d) What is the difference between (Ill) and <I 11> for miller indices. (2~5)
Q7. a)
Define the following (a) Unit Cell (b) Primitive Cell (c) Primitive
Lattice (d) Bravis Lattice. (4)
b) Germanium crystallizes in diamond form structure with 8 atoms
per unit cell. If lattice constant is 5.62 Angstrom, calculate the
density of Germanium. (2.5)
c) Write short notes on (a) Point Defect . (b) Frenkel Defect
(c)'Schottky Deffect. (6)
Unit-IV
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