R15 I YEAR I SEM SUPPLEMENTARY, JUNE 2022

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Page 1 of 2 Code No: R15A0302 MALLA REDDY COLLEGE OF ENGINEERING & TECHNOLOGY (Autonomous Institution – UGC, Govt. of India) I B.Tech I Semester Supplementary Examinations, June -2022

Engineering Drawing (ECE, CSE ) Roll No Time: 3 hours Max. Marks: 75 Answer Any Five Questions

All Questions carries equal marks.

*** 1 Draw an epicycloid of rolling circle of diameter 40 mm which rolls outside another circle (base circle) of 150 mm diameter for one revolution. Draw a tangent and normal at any point on the curve .

[15M] 2 Construct a scale of 1:40 to read metres and decimetres and long enough to measure 6 m. Mark on it a distance of 4.7 m .

[15M] 3 A point P is 15 mm above the H.P. and 20 mm in front of the V.P. Another point Q is 25 mm behind the V.P. and 40 mm below the H.P. Draw projections of P and Q keeping the distance between their projectors equal to 90 mm. Draw straight lines joining (i) their top views and (ii) their front views.

[15M] 4 A line AB, 90mm long, is inclined at 30O to the HP. Its end A is 12mm above the HP and 20mm in front of the VP. Its FV measures 65mm. Draw the TV of AB and determine its inclination with the VP.

[15M] 5 A Circular plane with a 60mm Diameter is resting on a point it’s circumference on the VP. The centre is 40 mm above the HP , and The surface is inclined at 450 to the VP. And perpendicular to the HP . Draw it’s Projections?

[15M] 6 A pentagonal Prism having a base with a 30 mm side and 60mm long axis, is resting on one of its rectangular faces on the HP. with axis parallel to the VP. Draw its projections?

[15M] 7 Draw an isometric view of a cylinder, with a 50mm base diameter and 70mm long axis when (a)The base is on t he HP (b) The base is on the VP

[15M] 8 Draw Front View, Top view and Side view for the figure shown below. All dimensions are in mm. [15M] R15 Page 2 of 2 ******

Page 1 of 2 Code No: R15A0301 MALLA REDDY COLLEGE OF ENGINEERING & TECHNOLOGY (Autonomous Institution – UGC, Govt. of India) I B.Tech I Semester Supplementary Examinations, June -2022

Engineering Mechanics (ME & AE) Roll No Time: 3 hours Max. Marks: 75 Answer Any Five Questions

All Questions carries equal marks.

*** 1 Figure shows two vertical forces and a couple of moment 2000 N -m acting on a horizontal rod, which is fixed at, end A. Determine the resultant of the system.

[15M] 2 The magnitude of the resultant of two concurrent including angle of 90°between them is√13kN.When this included angle is changed to 60°, the magnitude of the resultant becomes√19kN.Find the magnitude of these two forces. [15M] 3 An inclined plane and a vertical wall as shown in below Figure support two

identical rollers, each of weight 150 N. Assuming the smooth surfaces. Find the reaction induced at the points of support A, B and C [15M] 4 In a screw –jack, where the helix angle of thread is α and the angle of friction is φ, W is the load to be moved up/down, and P is the effort applied horizontally to a

lever at a distance of L from the axis of the screw, discuss the effects of moving the load (a) up (b) down, if (i) φ<α, and

(ii) φ>α in each case.

[15M] R15 Page 2 of 2 5 Determine the centroid of the given shaded area as shown in figure [15M]

6 Determine the centroid of the figure [15M] 7 Find the moment of inertia of the T -Section shown in figure.

[15M] 8 Two trains A and B leave the same station on parallel lines. A starts with a uniform acceleration of 0.15 mt/sec2 and attains a speed of 24 km/hour when the steam is required to keep speed constant. B leaves 40 seconds after with uniform acceleration of 0.30 mt/sec2 to attain a maximum speed of 48 km/hour. When will

B overtake A ? [15M] ****** Page 3 of 2 Page 1 of 1 Code No: R15A0011

MALLA REDDY COLLEGE OF ENGINEERING & TECHNOLOGY (Autonomous Institution – UGC, Govt. of India) I B.Tech I Semester Supplementary Examinations, June -2022 Engineering Physics -I (ME, CSE & AE )

Roll No Time: 3 hours Max . Marks: 75 Answer Any Five Questions All Questions carries equal marks.

*** 1 Obtain the conditions for the interference of light reflected by a thin parallel film. [15M] 2 a. Explain resolving power of grating .

b. Explain Brewster’s law.

c. Write a short note on the law of malus [10M] [3M] [2M] 3 a. With neat diagram explain principle, construction and working of Ruby

Laser b. List out the applications of lasers in various fields [11M] [4M] 4 a. Draw the block diagram of an optical fiber communication sys tem and explain the function of each block

b. List out the application of optical fiber [11M] [4M] 5 Explain construction and working of Davision - Germer experiment to prove that the moving matter is associated with a wave.

[15M] 6 Deduce equations for wave function and energy of the particle in a one -dimensional potential box.

[15M] 7 Discuss the differences between the Maxwell -Boltzmann, Bose -Einstein and Fermi -Dirac Statistics.

[15M] 8 Explain how PN junction is formed. Explain the working of PN diode in both forward and reverse bias conditions and explain the energy level diagram of PN junction. [15M] ******

R15 Page 1 of 1 Code No: R15A0021 MALLA REDDY COLLEGE OF ENGINEERING & TECHNOLOGY (Autonomous Institution – UGC, Govt. of India)

I B.Tech I Semester Supplementary Examinations, June -2022 Mathematics -I (ME, CSE, AE ) Roll No Time: 3 hours Max. Marks : 75

Answer Any Five Questions All Questions carries equal marks.

*** 1 Find weather the following equations are consistent, if so solve them 2 4, 2 3 9, 3 2 x y z x y z x y z+ + = − + = − − = [15M] 2 State and verify Cayley Hamilton theorem , hence find the inverse and

4A of the matrix 1 2 32 1 43 1 1A

=−− [15M] 3 If y x vxyyxu1 1tan tan ,1− −+=−+= . Find

),(),(yxvu . Hence prove that u and v are Functionally dependent.

[15M] 4 Verify Rolle’s theorem for the function n mby ax xf ) () ()( −−= where m,n are positive integers in [a,b] [15M]

5 (a) Solve0 )1 2( )1 2( =−−++− dy xy dx yx .

(b) Solve 2 3 3( ) 0. x y dx x y dy− + = [7M] [8M] 6 A bacte rial culture, growing exponentially increases from 200 to 500 grms in the

period from 6 am to 9 am. How many grams will be present at noon.

[15M] 7 Solve ax ya D tan ) (2 2=+ by method of variation of parameters.

[15M] 8 Solve th e differential equation 23

24 12 ,t d x dxxedt dt− − = given that '(0) 1 (0) 2x and x= =− using Laplace transform. [15M] ****** R15