Download Sub Name: Basic Civil Engineering Faculty Name:Ms.Varsha Sahu

Sub Name:
Basic Civil Engineering
Faculty Name:Ms.Varsha Sahu
Group :Q
Sem: 1st
1. Differentiate between
a. OPC and PPC
b. Mild Steel and Tor Steel
2. What are the tests conducted on bricks? Explain compressive strength test and
absorption test?
3. Write the name of raw materials with chemical composition, used in manufacturing
of cement and explain in brief?
4. Write short notes on moulding of bricks.
5. Write name of important building stones that are available in India with their uses and
availability?
6. Differentiate between cast iron, wrought iron and steel?
7. Give the geological, chemical and physical classification of rocks?
8. Explain in brief the characteristics of First class bricks and discuss its uses?
Sub Name:
Environment & Ecology
Faculty Name:Dr.Preetinand Kumar
&Ms.Rajshri
Group:Q
Sem:1st
Que. 1. What is environment? Explain biogeochemical cycle.
Que.2.
what is environment degradation? Describe briefly the causes and effect
Of environmental degradation.
Que. 3
Explain segment of environment. Define ecosystem and various types
Of ecosystem.
Que. 4
Described the cycling of nitrogen in ecosystem and state its role in environmental
Pollution Define ecosystem.
Que. 5
What are ecological pyramids? Explain various kinds of pyramids with example.
Que. 6
Explain various energy flow model with diagram, relating with the law of
Thermodynamics and state the importance of energy flow model in an ecosystem.
Que. 7 what is food chain? Explain various kinds of food chain with example also explain
Food Web Explain pond ecosystem on the basis of a biotic component,
Producers, consumers and decomposer.
Que. 8 explain in the brief environmental impact assessment on the following points
(a) Definition (b) Objective (c) flow chart (d) methodology of EIA
Sub Name:
FUNDAMENTALS OF
MECHANICAL
ENGINEERING
Faculty Name:Mr.Ankur Malviya
&Mr.Jijo Thomas
Group:Q
Sem: 1st
Q 1. Two smooth cylinder each of weight of 1000 N and radius 15 cm are connected at their
center by a string AB of length 40 cm and rest upon a horizontal plane (fig.1) supporting above
them , a third cylinder of weight 2000 N and radius 15 cm . find the force S in the string and the
pressure on the floor at D & E. (Nov- Dec 2011)
Q 2. An electric lamp weighting 20 N hangs from a point C by two string AC and BC as shown
in fig 2 . Find the force in the strings using lamis theorem. (April - May 2012)
Fig 2
Q.3 A)What do mean by Lami’s Theorem And Law of triangle & polygon
B) State Varignon’s theorem for moments and what is a free body diagram.
Q.4 A hollow cylinder of radius r is open at both ends and rests on a smooth horizontal plane.
Two spheres having weights W1 and W2 and radii r1 and r2 respectively are placed inside the
cylinder as shown. Find the minimum weight of the cylinder in order that it will not tip over.
Neglect friction. (fig 3)
Q.5 A 600 N cylinder is supported by the frame BCD. The frame is hinged at D. Determine the
reactions at A, B, C, D. (fig 4)
Fig 4
Q.6 A ice cube 300 mm is held by means of tongue as shown in fig 5. The dimensions a=75mm,
b=150, c=150mm, d=300mm. If mass of the ice is 10 kg determine the pressure at A and
reactions at joint C and D. Draw free body diagram of tongue DCB. Angle DOE= 1200 . 7
Fig 5
Q.7 A bar 2 m long and of negligible weight rests in horizontal position on two smooth inclined
planes. Determine the distance x at which the load Q = 100 N should be placed from point B to
keep the bar horizontal. (Fig6)
Fig 6
Q. 8 Two rollers of weight P and Q are connected by a flexible string AB. The rollers rest on two
mutually perpendicular planes DE and EF as shown. Find the tension in the string and angle 
that it makes with the horizontal when the system is in equilibrium.
0
P=50 N, Q=100 N =30
.
FiG 7
Q.9 A barge is pulled by two tugboats. If the resultant of the tug boats is a 5000 N force directed
along the axis of the barge. Determine graphically, the value of  such that tension in rope AC is
minimum. Also find the magnitude of the force on rope AC.
Q.10 A 400 mm wooden beam of mass 60 kg is supported by a pin at A and the cable BC. Find
the reaction at A and the tension in the cable.
Q11. A rigid bar is subjected to a system of parallel forces as shown in fig Reduce this system
to a force moment system at point B.
Q12. Determine the resultant of four parallel forces acting on the axle of a vehicle as shown in
Fig.
Q13. Discuss kinematics and kinetics of particle.
Q14. Explain D’Alemberts Principle and write the equation of dynamic equilibrium.
Q15. Explain principle of work and energy?( 2007, May-2009)
Q.16. Define conservative and non conservative forces.
Q17. What is principle of conservation of energy.
Q18. Define impulse with suitable example.
Q19. Define momentum with suitable example ? ( MAY-2008)
Q20. State Impulse - momentum principle. (Dec-2008)
Q21. Two blocks of mass M1( and M2, are placed on two inclined planes of inclination 01 and
02, The Masses are connected by a string passing over a smooth pulley. The coefficient of
friction p = 0.3. If M1 = 15 kg, M2= 30 kg and angle 01= 30 and 02 = 60°, find the acceleration of
mass M1 & M2.(MAY-2006)
Q.22. A block of mass 150kg lying on an inclined plane of angle 10° is pulled up by another block
of 80 kg connected by a string as shown in fig. The coefficient of friction between the inclined
plane and the block 150 kg is 0.2. Find the acceleration of each block and the tension in the string.
(Dec-2008)
Q.23. Two blocks of weight P = 12 KN and Q= 6 KN connected by a flexible but in extensible
cord. If the coefficient of friction between the block P and the horizontal surface is µ =1/3 and
other friction is negligible, find:
(i)
The acceleration of the system, and
(ii) The
tensile force in the cord. (MAY-2008)
Q.24. Determine the constant force P to start the system with the velocity of 3m/sec after
moving 4.5 m from rest. Coefficient of friction between the blocks and the plane is 0.3.
Assuming pulleys are smooth.( DEC-2006)
Q 25.Two weights 80 N and 20 N are connected by a string as shown in fig. and are lying on a
rough horizontal plane of coefficient of friction 0.3. A force of 40 N is applied horizontally as
shown in the figure. Find the velocity of the system after 2 seconds using impulse momentum
principle. What is the tension in the string?( MAY-2007)
Q.26. Two blocks A and B are released from the rest on a 30° incline when they are 18 m apart.
The coefficient of friction under the upper block A is 0.2 and the under the lower block B is 0.4.
In what time block A strikes block B and Where WA = 100N WB = 80N. (DEC-2007)
Q.27. Two block of A and B are hold on an inclined plane 5 m apart as shown in fig. The
coefficients of friction between the block A and B and the inclined plane are 0.2 and 0.1
respectively. If the blocks begin to slide down the plane simultaneously. Calculate the time and
distance travelled by the each block before collision. (MAY-2007)
Faculty Name:Dr.Delip Das &Dr.S.Biswas Sem: 1st
Group:Q
Sub Name:
Applied Mathematics
1. Find the rank of matrix by reducing to normal form:
 8 1 3 6
A   0 3 2 2
 8  1  3 4
2. Find the rank of the following matrix:
1
 1

A  b  c c  a
 bc
ca
1 
a  b
ab 
3. Find the non-singular matrices P and Q such that PAQ is in the normal form for the
matrix:
1
1

A  1
2
 0  1
2
3  and hence find the rank of A.
 1
4. Test for consistency and solve:
x  2y  z  3
2x  3y  2z  5
3x  5 y  5 z  2
3x  9 y  z  4
5. Investigate the values of  and  so that the equation:
2 x  3 y  5z  9
7x  3y  2z  8
2 x  3 y  z  
have (i) no solution (ii) a unique solution and (iii) infinite number of solutions.
6. show that the equation
3𝑥 + 4𝑦 + 5𝑧 = 𝑎 , 4𝑥 + 5𝑦 + 6𝑧 = 𝑏, 5𝑥 + 6𝑦 + 7𝑧 = 𝑐do not have a
solution unless 𝑎 + 𝑐 = 2𝑏
7. for what value of 𝑘 the equations 𝑥 + 𝑦 + 𝑧 = 1, 2𝑥 + 𝑦 + 4𝑧 = 𝑘, 4𝑥 + 𝑦 + 10𝑧 = 𝑘 2
have a solution and solve them completely in each case.
8. Find the Eigen values and Eigen vectors of the matrix
3 1 4
A  0 2 6
0 0 5
9. Verify the Cayley Hamilton theorem and hence find A-1for the matrix
 2  1 1
A    1 2  1
 1  1 2
10. Find
the
matrix
represented
by
the
polynomial
2 1 1 
A  5 A  7 A  3 A  A  5 A  8 A  2 A  I  0 where matrix A  0 1 0.


1 1 2
8
7
6
5
4
3
2
Sub Name:
APPLIED PHYSICS
Faculty Name:dr.Anil Choubey
Group:Q
Sem 1st
1.a.What is a frame of reference? Explain the simplest frame of reference. What are inertial
frames?
b. What are non-inertial frames and fictitious forces?
2. Explain Galileo’s Principle of relativity and hence deduce Galilean Transformation
equations.
3. What is an absolute frame of reference? Explain Michelson-Morley experiment. What is its
negative result? How can it be interpreted?
4 a. What are the postulates of special theory of relativity? Hence deduce Lorentz transformation
equations.
b. Derive expressions for velocity transformations on the basis of special theory of relativity and
hence show that no material particle can attain a velocity greater than ‘c’.
5 a.
i. What is length contraction. Derive expression for it.
ii. Calculate the percentage contraction in the length of a rod moving with a speed of 0.8c
in a direction at an angle of 60º with its own length, where ‘c’ is the velocity of light.
b.
i) What is time dilation? Derive expression for it.
ii) With What velocity should a spaceship fly so that everyday spent on it may
correspond to 3 days on the earth’s surface?
6
a.Explain Doppler effect and derive expression for Doppler shift.
b.The apparent wavelength of a spectral line in the spectrum of light from a star is
3737Å, while its real wavelength is 3700Å. Calculate the velocity of star relative to earth
(c=3x108 m/s).
7
a.Explain the variation of mass with velocity and derive expression for relativistic mass.
b.A man has a mass of 100kg on the ground. When he is in flight on a spaceship, his
mass is 101kg as determined by an observer on the ground. What is the speed of the
spaceship?
8
a. What is relativistic energy? Derive expression for total relativistic energy (Einstein’s
energy mass relation).
b.An electron is moving with a speed of 0.99c. What is its total relativistic energy? Also
find the ratio of Newtonian K.E to Relativistic Energy.
c.Derive expression for relation between Relativistic energy and momentum.