TS PGECET 2024 Mechanical Engineering Question Paper is available for download here. Jawaharlal Nehru Technological University Hyderabad on behalf of Telangana Council of Higher Education (TGCHE) conducted TS PGECET 2024 Mechanical Engineering on June 11 in Shift 1 from 10 AM to 12 PM. TS PGECET Question Paper 2024 consists of 120 MCQ-based questions in total carrying 1 mark each to be attempted in the duration of 2 hours.
TS PGECET 2024 Mechanical Engineering Question Paper with Answer Key PDF
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Question 1:
Let \(A\) be a \(3 \times 3\) matrix. If \(\lambda_1, \lambda_2, \lambda_3\) are the eigenvalues of \(A\), then the eigenvalues of the matrix \((I + aA)^{-1}(I + bA)\), where \(a, b\) are scalars such that \(a \lambda_i \neq -1\) and \(b \lambda_i \neq -1\) for \(i = 1, 2, 3\), are:
If \(a = 2024\), \(b = 2023\), and \(c = 2022\), then the determinant \[ \begin{vmatrix} \log_a a & \log_a b & \log_a c
\log_b a & \log_b b & \log_b c
\log_c a & \log_c b & \log_c c \end{vmatrix} \]
is:
If Rolle’s theorem is applied for \( f(x) = x^3 - x \) in \( [-1,1] \), then the values of ‘c’ of this theorem are:
The value of \(\int_0^\infty e^{-x^2} \, dx\) is:
The necessary condition for the equation \( M(x,y)dx + N(x,y)dy = 0 \) to be exact is
Using Laplace transformation, the value of \( \int_{0}^{\infty} \frac{\sin 2t}{t} dt \) is
The value of the integral \( \int_C \frac{e^{2z}}{(z-1)(z-2)}dz \) where C is the circle \( |z|=3 \) is
Consider \( \frac{dy}{dx} = x^2 - y, y(0)=1 \) using Euler's method with step size of 0.1. Then the value of \( y(0.1) \) is
Given the probability density function \( f(X=x)= \begin{cases} 0, & x<2
\frac{3+2x}{18}, & 2\leq x\leq4
0, & x>4 \end{cases} \) then the probability that X lies between 2 and 3 is
If the chance that a bus arrives safely at a bus stand is \( \frac{9}{10} \), then the probability that out of 5 buses at least 4 will arrive safely is
A mass 'M' is attached at the end of a string whose length is 'L' and whirled at a constant speed in vertical circle. Generally, the tension in the string is minimum when the mass is
For a triple threaded screw, the lead is 30 mm and the mean diameter of the screw is 80 mm, then the pitch of the screw is
If the coefficient of friction between tyres and the road is 0.6, what is the angle of banking for a highway curve of 500 m radius designed to accommodate cars travelling at 180 km/h?
The loss of potential energy of an elevator coming down from the top of the building to a stop at the ground floor is
The loss of potential energy of an elevator coming down from the top of the building to a stop at the ground floor is:
What is the coefficient of restitution of a perfectly elastic impact?
Which of the following relations are correct for the Young's modulus in terms of modulus of rigidity (G), Bulk modulus (K) and Poisson's ratio (\(\mu\))?
Two principal stresses at a point in the bar are 200 N/mm² (tensile) and 80 N/mm² (Compressive). What is the value of the maximum shear stress in the bar?
A shaft subjected to pure torsion develops the maximum shear stress of 80 MPa. If the shaft diameter is doubled, then the maximum shear stress developed in the shaft corresponding to the same torque is
A thin cylindrical shell subjected to an internal pressure resulted in hoop stress and longitudinal stress. If the radius and thickness of the shell are increased by 10%, then the increase in percentage of hoop stress and longitudinal stress respectively are
A simply supported beam of length 'L' having the flexural rigidity of 'EI', subjected to a uniformly distributed load of 'w'. Then the maximum bending moment and maximum deflection are
Based on flexural point, a beam can be considered as strongest due to:
The ratio of equivalent lengths for the slender column subjected to the critical load when one end is fixed and the other is free, and both ends are fixed is:
The extension due to self-weight of a bar of uniform cross section being hanged vertically downward is ___ times the extension produced by the same weight applied at the lower end of the vertical bar.
The relation between number of links \( (l) \) and number of joints \( (j) \) in a kinematic chain is generally
In a slider crank mechanism for \( \frac{l}{4} \) ratio of 4, the percentage of stroke converted by the piston corresponding to 90° movement of the crank from top dead center is
The total reaction on the ground when wheels of the vehicle are subjected to the gyroscopic couple and the centrifugal force while negotiating the curve is
The point on the cam at which the pressure is maximum is known as:
For the specified flywheel design, the variation of the engine speed is from 210 rad/s to 190 rad/s. During the cycle process, the change in kinetic energy is found to be 400 N-m, then the moment of inertia of the flywheel in kg-m² is:
In the case of balancing problems pertaining to locomotives, the resultant unbalanced force is minimum when:
During the design of a gear, if the higher-pressure angle is chosen, then the gear has:
In the analysis of torsional vibrations of the shaft, the node of the shaft is characterized by the:
A free damped vibrating system consists of a mass of 200 kg and a spring of stiffness 40 N/mm. If the damping factor is 0.22, the time in which the system would settle down 10\(^1/50\)th of its initial deflection will be:
If the damping factor of the vibrating system is considered as unity, then the type of system is said to be
The endurance limit for the carburized machine components is high because
What is the failure theory to be considered for the loading of aluminum components under steady load conditions?
A welded joint has '\( l \)' mm length and '\( t \)' mm thickness fillet carries a steady load of 'F' N along the weld. Then the maximum shear stress induced in the weld in terms of N/mm\( ^2 \) will be
In hydrodynamic journal bearing, if the clearance ratio is halved then the Sommer field number 'S' and the coefficient of friction '\( \mu \)' will change as
A bicycle and rider have a combined mass of 100 kg traveling at 12 km/hr on a level road. A brake is applied to the rear wheel which has 800 mm in diameter. The pressure on the brake is 80 N and the coefficient of friction is 0.05. The distance covered by the bicycle before it comes to rest will be approximately equal to
The deflection of a spring with 20 active turns for the specified load is 10 mm. If the same spring is cut into two halves and connected parallel and applied the same load, then the deflection would be
While designing the gears, the Lewis equation is generally used for finding out the following stress?
A rectangular block with density of 720 kg/m\(^3\) floats in fluid having the relative density of 0.8. What percentage of block will remain exposed?
A fountain has to be designed to raise water to a height of 20 m from the ground level. What would be the speed of water and pressure to be applied by taking g = 10 m/s\(^2\)?
For a rotational flow, the ratio of normal velocity vector to the angular velocity vector is
The velocity distribution in the boundary layer for the turbulent flow over the plate generally follows the law
A fully developed laminar viscous flow through a circular tube has the ratio of maximum velocity to average velocity as
Water is flowing through the non-uniform horizontal pipe. The speed and pressure respectively at the extreme narrow cross section of the pipe would be
Liquid is flowing through two pipes having the same dimensions and same material. If the ratio of velocities are 2:3, with all other factors remaining same, the ratio of loss of head due to friction is
If 'k' is the thermal conductivity, '\( \rho \)' is the mass density and 'c' is the specific heat then the thermal diffusivity of substance is
A hollow pipe of 10 mm outer diameter is to be insulated by thick cylindrical insulation having thermal conductivity of 1 W/m K. The surface heat transfer coefficient on the insulation surface is 5 W/m\( ^2 \) K. What is the minimum effective thickness of insulation for causing the reduction in heat leakage from the insulated pipe?
For the fins arrangement, when the other conditions are remaining same, to get better effectiveness the fins should be
In the lumped mass system of transient analysis, for calculation of Biot number, the characteristic length should be considered as the ratio of
For flow over a flat plate, the hydrodynamic boundary layer thickness is 0.5 mm. If the dynamic viscosity is \( 25 \times 10^{-16} \, Pa-s \), specific heat is 2000 J/kg·K, and the thermal conductivity is 0.05 W/m·K, then what would be the thermal boundary layer thickness?
A heat exchanger has been designed with heat transfer surface area of ‘A’ and overall heat transfer coefficient ‘U’, handling two different fluids of heat capacities \( C_{min} \) and \( C_{max} \). The parameter NTU used in the analysis of heat exchanger is specified as:
Radiation heat transfer in the system is characterized by
The slope of curve on p-V diagram for different processes
The COP of heat pump in comparison with COP of refrigeration cycle for the specified temperature limits is given by
In a polytropic process, heat rejected is given by
“Heat cannot flow by itself from a body at lower temperature to a body at higher temperature” and can be done by the supply of external work is
2 kg of a substance receives 500 kJ heat and undergoes a temperature change from 100 \(^\circ\)C to 200 \(^\circ\)C. The average specific heat of the substance during the process (in kJ/kg K) will be
The equation for the state of real gas in terms of reduced form is
A reversible engine is being operated with the temperature limits of 800 K and 300 K. If it takes heat 560 kJ, then the available energy and unavailable energy are
According to the Joules law of a perfect gas, the internal energy is a function of
The volumetric efficiency of a reciprocating compressor has the clearance ratio 'k' and the pressure ratio p2/p1 is calculated by using the following equation
Generally, the rotary compressors are used for delivering the following conditions:
The air standard efficiency of the Diesel cycle reaches that of the Otto cycle when the following condition is satisfied:
For the same compression ratio and heat rejection, the thermal efficiency is:
During the compression process of a vapor compression refrigeration system:
Consider the following statement and choose the correct one
I. Dew point is reached by cooling the air at constant moisture content
II. Wet bulb temperature changes by addition of moisture at constant enthalpy
III. For saturated air, dry bulb, wet bulb and dew point temperatures are same
IV. Dehumidification of air is achieved by heating
Choose the correct statement with respect to the impulse steam turbine operated based on Rankine cycle
The incorporation of intercooling system between low-pressure and high-pressure compressors of Brayton cycle
The ratio of speed of a Pelton wheel and the speed of the jet for maximum head efficiency is
If the blade efficiency is 80% and the stage efficiency is 60%, what is nozzle efficiency of a DeLaval turbine?
The alloy of copper which can be used against fatigue, wear and corrosion is
During the crystallization process, the energy which retards is called as
What is the element to be added to the molten cast iron in order to obtain the nodular cast iron?
The complete transformation of austenite takes place during cooling from liquid state at:
The important parameter which is considered for the measure of ductility is:
Quenching is not necessary when the hardening process is done by the following way:
In a situation where water passes through a bearing, the preferred material for bearing is:
A spherical drop of liquid metal 'r' mm radius takes 12 seconds to solidify. What would be the time taken to solidify if the diameter of the drop is doubled?
Which of the following material requires the largest solid shrinkage allowance, while making a pattern for casting?
For the design of gating system, the ratio 1:2:4 represents
Which of the following pair is a wrong pair with respect to metal casting process
The property of sand by virtue of which sand grains stick together is generally called
Calculate the minimum number of hot rolling passes required to reduce an ingot of 200 mm thickness to 100 mm thickness in two high reversible rolling mill with roll diameter of 500 mm. The coefficient of friction between rolls and the hot material for all the passes is assumed as 0.2
Which type of metal forming process is used to make utensils and cup shaped products?
The cutting tool manufactured by powder metallurgy is
The high alloy steel components are preheated before welding for reducing
The joint configuration best suited for adhesive bonding is
During brazing joint process, the commonly used flux material is:
The predominant wear occurring in cemented carbide cutting tools is:
The hardest cutting tool material after the diamond is:
The correct sequence of elements of 18-4-1 HSS tool is:
It is required to cut screw threads of 2 mm pitch on a lathe. The lead screw has a pitch of 6 mm. If the spindle speed is 60 rpm, then speed of the lead screw is:
When a CNC system is capable of automatically adjusting the speed and feed parameters according to actual cutting conditions, the system is said to have:
Optimum rake angle for the single point cutting tool is generally considered as a function of:
The surface plate is usually made of grey cast iron because it provides:
A shaft has diameter \(20^{+0.05}_{-0.15}\) mm and a hole diameter \(20^{+0.20}_{-0.10}\) mm. When these are assembled, then what is the nature of fit yield?
1.clearance fit
2.interference fit
3.transition fit
4.best fit
The thread characteristics can be measured precisely by the following instrument:
Accurate centering of work mounted in an independent chuck can be determined by using:
Which type of coordinate measuring machine is most suited for large heavy work pieces?
1. Cantilever type
2. Bridge type
3. Floated bridge type
4. Horizontal boring mill type
A computer program written in a high level language is called as
1. Source program
2. Object program
3. Basic program
4. Application program
A collection of wires that connect several devices in the computer integrated manufacturing system is
1. Link
2. Directional wires
3. Cable
4. Bus
If a robot can alter its own trajectory in response to external conditions, then it is considered as
1. Mobile robot
2. Intelligent robot
3. Expert robot
4. Fifth gen robot
Which of the following statement is not a decision taken during the aggregate production planning stage?
Which of the following forecasting methods take a fraction of forecast error into account for the next period of forecast?
The first activity of purchasing cycle of material requirement planning is
The decision of assigning the various jobs to different machines and equipment is termed as
Lean manufacturing process is generally being implemented to make a
The economic order quantity of a company based on inventory control theory is
The product 'A' has the demand of 1000 with ordering cost Rs 100/- per order with a holding cost of Rs 40/- per year. Another product 'B' has the demand of 3600 with the ordering cost of Rs 100/- per year with a holding cost of Rs 100/- per year. What is the ratio of EOQs 'B' to 'A'?
1. 1.5
2. 1.2
3. 2.5
4. 3.5
In A-B-C inventory control technique, the maximum attention is given to the items which
The charts which present graphically the process of work by showing the machine operation, man hour performance, quantities completed, etc., to facilitate day-to-day planning of the work are termed as
The artificial activity which indicates that an activity following it cannot be started unless the preceding activity is complete, is known as
The optimality of a transportation problem is determined by the application of:
In the case of solution of a two-variable linear programming problem by graphical method, if one constraint line comes parallel to the objective function line, the problem will have:
The cost of proving service in a queuing system increases with:
In critical path method, critical path moves along with the activities having total float of:
Hungarian method is generally used to solve the following type of problem:
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