GATE Mechanical Engineering Test Paper Question Answers Online

1. For a current carrying wire of 20 mm diameter exposed to air [h = 25 w/m²k], max^m heat distribution occurs where the thickness of insulation [k = 0.5 w/mk] is:

2. The ratio of reaction R_A and R_B of the simply supported beam shown in the given figure is:

3. If a function is continuous at a point its first derivative:

4. Oscillating hydraulic jump occurs when the Froud's number is:

5. Silicon contains 5 x 10²⁸ atoms per cubic metre. If it is doped with two parts per million of arsenic then the electron density at room temperature will be approximately:

A) 4 x 10²³ m^-3

B) 10²³ m^-3

C) 2 x 10⁶ m^-3

D) 10⁶ m^-3

6. At room temperature, the dynamic and kinematic viscosity of water:

7. Stiffness of material is measured in terms of:

8. Temperature near absolute zero are obtained using:

9. If the fringes shown by an optical flat are as shown in figure, it can be included that:

10. The Eigen values of a square symmetrical matrix are always:

11. A propeller shaft is subjected to max^m compressive direct stress of 20 N/mm² and maximum shear stress for 80 N/mm² due to torque. The maximum tensile stress induced is closer to (in N/mm²):

12. For a case of a slender column of length 1 and flexural rigidity EI buit-in at base and free at the top, the Eulers critical buckling load is:

A) 4π² EI/l²

B) 2π² EI/l²

C) π² EI/l²

D) π² EI/4l²

13. The pressure P of an ideal gas and its mean kinetic energy E per unit volume are related by the relation:

14. A waher 1.25 mm thick, 12 hole and an outside diameter of 25 mm is to be made from a material whose ultimate shearing strength is 3.8 tonnes/cm². If both the punches operate simultaneously with no shear, the force need to produce a washer will be nearly:

15. One end of a two dimensional water tank has the shape of a quadrant of a circle of radius 2m. When the tank is full, the vertical component of the force per unit length on the corved surface will be:

16. A body mass 10 kg moving with a velocity of 1 m/s is acted upon by a force of 50 N for two seconds. The final velocity is:

17. What part of a petrol engine would need modification if the engine is to be made to run on LPG.

18. Critical thickness of insulation for spheres is given by:

19. The matrix B = A^T, where A is any matrix is:

20. In PERT analysis the duration of the activities is taken as:

21. The COP of a refrigerator is 4. COP of the same machine when used as heat pump will be:

22. In a isothermal atmosphere the pressure:

23. In an experiment, it is found that to Bulk modulus of a material is equal to its shear modulus. The poisson's ratio is:

24. A carbon steel having Brinell Hardness number 100 should have ultimate tensile strength closer to:

A) 100 N/mm²

B) 200 N/mm²

C) 350 N/mm²

D) 1000 N/mm²

25. If the weight of a body immersed in a fluid exceeds the buoyant force, then the body will:

26. The Miller indicates of the diagonal plane of a cube are:

27. The specific heats of an ideal gas depend on its:

28. The dimensions of a pressure gradient in a fluid flow are:

A) ML^-1T²

B) ML^-3T²

C) ML^-2T^-2

D) M^-1L-3T2

29. The number of degrees of freedom of a five link plane mechanism with five revolute pairs as shown in figure:

30. In a rotometer as the flow rate increases, the float:

31. Basicity of slag is expressed as:

A) Si O₂%/Ca O%

B) Fe₂O₃%/CaO%

C) CaO% + MgO%/SiO₂% + Al₂O₃% + P₂O₅%

D) None of these

32. Optimum pressure ratio for max^m specific output for ideal gas turbine plant operating at initial temperature of 300 K and max^m temperature of 100 K is closer to:

33. Ten kilograms of ice at 0^oC are added to 100 kg of 40^oC liquid with a specific heat of 4.0 kJ/kg. ^oC. Estimate the temperature of the liquid just as all the oce melts if an insulated container is used. (The heat of fusion of ice is 320 kJ/kg)

34. Which one of the following favours brittle fracture in a ductile material?

35. Which of the following metal has the lowest melting point?

36. A block of steel is loaded by a tangential force on its top surface while the bottom surface is held rigidly. The deformation of the block is due to:

37. For a given activity, the optimistic time, pessimistic time and the most probable estimates are 5,17 and 8 days respectively. The expected time is:

38. For a given heat flow and for the same thickness, the temperature drop across the material will be maximum for:

39. The enthalpy of steam entering a turbine in a Rankine cycle is 3200 kJ/kg K. The enthalpy after isentropic expansion is 2400 kJ/kg and the enthalpy at the end of the actual expansion is 2560 kJ/kg. The turbine efficiency is:

40. In adiabatic flow with friction, the stagnation temperature along a stream line _________.