Explore topic-wise MCQs in GATE (Mechanical Engineering).

This section includes 968 Mcqs, each offering curated multiple-choice questions to sharpen your GATE (Mechanical Engineering) knowledge and support exam preparation. Choose a topic below to get started.

201.

What is the geometric mean of two heat transfer areas A1 and A2?

A. √(A1 . A2)
B. √(A1 + A2)
C. ½ √(A1 . A2)
D. 2 √(A1 . A2)
Answer» B. √(A1 + A2)
202.

For flow over a flat plate, the ratio of thermal boundary layer thickness, 'xt' andhydrodynamic boundary layer thickness 'x' is equal to (where, NPr = Prandtl number)

A. NPr
B. NPr 1/3
C. NPr -1
D. NPr -1/3
Answer» C. NPr -1
203.

Convective heat transfer, in which heat is transferred by movement of warmed matter isdescribed by

A. Fourier's law
B. Newton's law of cooling
C. Fick's law
D. None of these
Answer» C. Fick's law
204.

Dittus-Boelter equation cannot be used for molten metals mainly due to its very low

A. Prandtl number
B. Grashoff number
C. Thermal conductivity
D. Viscosity
Answer» B. Grashoff number
205.

The critical radius of insulation for cylindrical pipe is (where, hi = heat transfer coefficientat inside of the pipe)

A. K/h0
B. 2K/h0
C. hi/K
D. 2hi/K
Answer» B. 2K/h0
206.

What is the logarithmic mean of r1 and r2?

A. (r1 - r2)/ln(r1/r2)
B. (r1 - r2)/ln(r2/r1)
C. (r2 - r1)/ln(r1/r2)
D. (r1 - r2)/-ln(r1/r2)
Answer» B. (r1 - r2)/ln(r2/r1)
207.

The overall heat transfer co-efficient for a shell and tube heat exchanger for clean surfaces is U0 = 400 W/m2.K. The fouling factor after one year of operation is found to be hd0 = 2000W/m2.K. The overall heat transfer co-efficient at this time is

A. 1200 W/m2.K
B. 894 W/m2.K
C. 333 W/m2.K
D. 287 W/m2.K
Answer» D. 287 W/m2.K
208.

A steam pipe is to be insulated by two insulating materials put over each other.For best results

A. better insulation should be put over pipe and better one over it
B. inferior insulation should be put over pipe and better one over it
C. both may be put in any order
D. whether to put inferior OIL over pipe or the better one would depend on steam temperature
E. unpredictable.
Answer» B. inferior insulation should be put over pipe and better one over it
209.

The overall resistance for heat transfer through a series of flat resistance, is the __________of the resistances.

A. Average
B. Geometric mean
C. Product
D. Sum
Answer» E.
210.

Heat transfer by conduction in the turbulent core of a fluid flowing through a heated pipeis negligible, if the value of Prandtl number is

A. 0.2
B. 0.4
C. 0.6
D. 0.8
Answer» D. 0.8
211.

For a counter current heat exchanger with Ti h = 80°C, T°c = 60°C, T°h = 50°C and Ti c = 30°C, and the temperature difference between the two streams being the same everywhere along Z, the direction of flow of hot fluid. The temperature profile should satisfy

A. d 2T/dZ2 > 0
B. d 2T/dZ2 = 0
C. d 2T/dZ2 < 0
D. dT/dZ = 0
Answer» C. d 2T/dZ2 < 0
212.

Which of the following forced convection heat transfer equation accounts for the liquidviscosity effect for viscous liquids?

A. Dittus-Boelter equation
B. Sieder-Tate equation
C. Nusselt equation
D. None of these
Answer» C. Nusselt equation
213.

In a 1-1 concurrent heat exchanger, if the tube side fluid outlet temperature is equal to theshell side fluid outlet temperature, then the LMTD is

A.
B. 0
C. Equal to the difference between hot and cold fluids inlet temperature
D. Equal to the difference between hot fluid inlet temperature and cold fluid outlet temperature
Answer» C. Equal to the difference between hot and cold fluids inlet temperature
214.

Heat transfer takes place as per –

A. zeroth law of thermodynamics
B. first law of thermodynamic
C. second law of the thermodynamics
D. Kirchoff’s law
E. Stefan’s law.
Answer» D. Kirchoff’s law
215.

Grashoff number, which is defined as g . β (Ts - T∞) ρ2. L3/μ2, is proportional to the ratio of buoyancy force to __________ force.

A. Viscous
B. Elastic
C. Inertial
D. None of these
Answer» B. Elastic
216.

Thermal conductivity of glass-wool varies from sample to sample because ofvariation in

A. composition
B. density
C. porosity
D. structure
E. all of the above.
Answer» F.
217.

Stefan-Boltzmann law applies to __________ body.

A. Black
B. White
C. Grey
D. Any colour
Answer» B. White
218.

Heat transfer co-efficient equation for forced convection, Nu = 0.023 Re 0.8. Prn, is not valid, if the value of

A. n = 0.4 is used for heating
B. n = 0.3 is used for cooling
C. Reynolds number for the flow involved is > 10000
D. Reynolds number for the flow involved is < 2100
Answer» E.
219.

Log mean temperature difference in case of counter flow compared to parallelflow will be

A. same
B. more
C. less
D. depends on other factors
E. none of the above.
Answer» C. less
220.

Depending on the radiating properties, a body will be white when (where a = absorptivity, p = reflectivity, x = transmissivity)

A. p = 0, x = 0 and a = 1
B. p=l,T = 0anda = 0
C. p = 0, x = 1 and a = 0
D. x = 0, a + p = 1
E. a = 0, x + p = 1.
Answer» C. p = 0, x = 1 and a = 0
221.

Thermal conductivity of air at room temperature in kcal/m hr °C is of the orderof

A. 0.002
B. 0.02
C. 0.01
D. 0.1
E. 0.5.
Answer» C. 0.01
222.

Mode of heat transfer in which the fluid moves under the influence of changes in fluidpressure produced by external work is called

A. Radiation
B. Natural convection
C. Forced convection
D. Conduction
Answer» D. Conduction
223.

The concept of overall coefficient of heat transfer is used in heat transferproblems of

A. conduction
B. convection
C. radiation
D. all the three combined
E. conduction and comte_ction.
Answer» F.
224.

If the temperature of a solid surface changes form 27°C to 627°C, then itsemissive power changes in the ratio of

A. 3
B. 6
C. 9
D. 27
E. 81.
Answer» F.
225.

Which characteristic of a fluid is not important in deciding its route in a shell and tube heatexchanger?

A. Corrosiveness
B. Fouling characteristic
C. Viscosity
D. None of these
Answer» E.
226.

Conduction occurs in the buffer zone for a fluid flowing through a heated pipe, only whenPrandtl number is

A. 0.1
B. > 1
C. < 1
D. 1
Answer» B. > 1
227.

A sphere of radius 'R1' is enclosed in a sphere of radius 'R2'. The view (or shape) factor forradiative heat transfer of the outer sphere with respect to the inner sphere is

A. 0
B. R2/(R1+R2)
C. 1
D. (R1/R2) 2
Answer» C. 1
228.

For gases, the thermal conductivity increases with temperature rise. For liquids, withincrease in concentration, its thermal conductivity generally

A. Decreases
B. Increases
C. Remains unchanged
D. Increases exponentially
Answer» B. Increases
229.

Thermal diffusivity of a substance is .

A. proportional of thermal conductivity
B. inversely proportional to k
C. proportional to (k)
D. inversely proportional to k2
E. none of the above.
Answer» B. inversely proportional to k
230.

A wall has two layers of materials A and B; each made of a different material. Both the layers have the same thickness. The thermal conductivity of material A is twice that of B. Under the equilibrium, the temperature difference across the wall is 36°C. The temperature difference across the layer A is __________ °C.

A. 6
B. 12
C. 18
D. 24
Answer» C. 18
231.

In a shell and tube heat exchanger, the shell side fluid velocity can‟t be changed bychanging the

A. Tube layout
B. Tube diameter
C. Tube pitch
D. Number of baffles
Answer» C. Tube pitch
232.

As per Kirchoff‟s law, the ratio of the total radiating power to the absorptivity of a body depends on the

A. Temperature of the body only
B. Wavelength of monochromatic radiation
C. Both (A) and (B)
D. Nature of material of body
Answer» B. Wavelength of monochromatic radiation
233.

In a laboratory test run, the rate of drying was found to be 0.5 x 10-3 kg/m2 .s, when the moisture content reduced from 0.4 to 0.1 on dry basis. The critical moisture content of the material is 0.08 on a dry basis. A tray dryer is used to dry 100 kg (dry basis) of the same material under identical conditions. The surface area of the material is 0.04 m2 /kg of dry solid. The time required (in seconds) to reduce the moisture content of the solids from 0.3 to 0.2 (dry basis) is

A. 2000
B. 4000
C. 5000
D. 6000
Answer» D. 6000
234.

Which of the following parameters is increased by use of finned tube in a multipass shelland tube heat exchanger?

A. Tube side pressure drop and the heat transfer rate
B. Convective heat transfer co-efficient
C. Effective tube surface area for convective heat transfer
D. All (A) (B) and (C)
Answer» E.
235.

In Joule's experiment, an insulated container contains 20 kg of water initially at 25°C. It is stirred by an agitator, which is made to turn by a slowly falling body weighing 40 kg through a height of 4 m. The process is repeated 500 times. The acceleration due to gravity is 9.8 ms-2. Neglecting the heat capacity of agitator, the temperature of water (in °C) is

A. 40.5
B. 34.4
C. 26.8
D. 25
Answer» C. 26.8
236.

Hot water (0.01 m3 /min) enters the tube side of a counter current shell and tube heat exchanger at 80°C and leaves at 50°C. Cold oil (0.05 m3/min) of density 800 kg/m3 and specific heat of 2 kJ/kg.K enters at 20°C. The log mean temperature difference in °C is approximately

A. 32
B. 37
C. 45
D. 50
Answer» B. 37
237.

A process stream of dilute aqueous solution flowing at the rate of10 Kg.s-1 is to be heated. Steam condensate at 95°C is available for heating purpose, also at a rate of 10 Kg.s-1. A 1 - 1 shell and tube heat exchanger is available. The best arrangement is

A. counter flow with process stream on shell side.
B. counter flow with process stream on tube side.
C. parallel flow with process stream on shell side.
D. parallel flow with process stream on tube side.
Answer» B. counter flow with process stream on tube side.
238.

The left face of a one dimensional slab of thickness 0.2 m is maintained at 80°C and the right face is exposed to air at 30°C. The thermal conductivity of the slab is 1.2 W/m.K and the heat transfer co-efficient from the right face is 10 W/m2.K. At steady state, the temperature of the right face in °C is

A. 77.2
B. 71.2
C. 63.8
D. 48.7
Answer» E.
239.

A metal ball of radius 0.1 m at a uniform temperature of 90°C is left in air at 30°C. The density and the specific heat of the metal are 3000 kg/m3 and 0.4 kJ/kg.K respectively. The heat transfer co-efficient is 50 W/m2.K Neglecting the temperature gradients inside the ball, the time taken (in hours) for the ball to cool to 60°C is

A. 555
B. 55.5
C. 0.55
D. 0.15
Answer» E.
240.

The inner wall of a furnace is at a temperature of 700°C. The composite wall is made of two substances, 10 and 20 cm thick with thermal conductivities of 0.05 and 0.1 W.m-1.°C-1 respectively. The ambient air is at 30°C and the heat transfer co-efficient between the outer surface of wall and air is 20 W.m-2.°C-1. The rate of heat loss from the outer surface in W.m-2is

A. 165.4
B. 167.5
C. 172.5
D. 175
Answer» B. 167.5
241.

A 10 cm dia steam pipe, carrying steam at 180°C, is covered with an insulation (conductivity = 0.6 W/m.°C). It losses heat to the surroundings at 30°C. Assume a heat transfer co-efficient of 0.8 W/m2.°C for heat transfer from surface to the surroundings. Neglect wall resistance of the pipe and film resistance of steam. If the insulation thickness is 2 cms, the rate of heat loss from this insulated pipe will be

A. greater than that for uninsulated steam pipe.
B. less than that of the uninsulated steam pipe.
C. equal to that of the uninsulated steam pipe.
D. less than the steam pipe with 5 cms insulation.
Answer» C. equal to that of the uninsulated steam pipe.
242.

1000 Kg of liquid at 30°C in a well stirred vessel has to be heated to 120°C, using immersed coils carrying condensing steam at 150°C. The area of the steam coils is 1.2 m2 and the overall heat transfer co-efficient to the liquid is 1500 W/m2.°C. Assuming negligible heat loss to the surrounding and specific heat capacity of the liquid to be 4 kJ/kg.°C, the time taken for the liquid to reach desired temperature will be

A. 15 min
B. 22 min
C. 44 min
D. 51 min
Answer» E.
243.

The rate of heat transfer through a pipe wall is given by, . For cylinder of very thin wall, q can be approximated by

A. [A].
B. [B].
C. [C].
D. [D].
Answer» E.
244.

The heat flux (from outside to inside) across an insulating wall with thermal conductivity, K= 0.04 W/m.°K and thickness 0.16m is 10 W/m2. The temperature of the inside wall is - 5°C. The outside wall temperature is

A. 25°C
B. 30°C
C. 35°C
D. 40°C
Answer» D. 40°C
245.

The radiation heat flux from a heating element at a temperature of 800°C, in a furnace maintained at 300°C is 8 kW/m2. The flux, when the element temperature is increased to 1000°C for the same furnace temperature is

A. 11.2 kW/m2
B. 12.0 kW/m2
C. 14.6 kW/m2
D. 16.5 kW/m2
Answer» E.
246.

The variation of thermal conductivity of a metal with temperature is often correlated using an expression of the form K = K0 + at. where, K is the thermal conductivity and T is the temperature (in °K). The units of 'a' in SI system will be

A. W/m.k
B. W/m
C. W/m.k2
D. none, 'a' is just a number
Answer» D. none, 'a' is just a number
247.

Condensing film co-efficient for steam on horizontal tubes ranges from 5000 to 15000 Kcal/hr.m2 .°C. Condensation of vapor is carried out inside the tube in a shell and tube heat exchanger, when the

A. higher condensing film co-efficient is desired.
B. condensate is corrosive in nature.
C. lower pressure drop through the exchanger is desired.
D. temperature of the incoming vapor is very high.
Answer» C. lower pressure drop through the exchanger is desired.
248.

Grashoff number, which is defined as g . β(Ts - T∞) ρ2. L3/μ2, is proportional to the ratio of buoyancy force to __________ force.

A. viscous
B. elastic
C. inertial
D. none of these
Answer» B. elastic
249.

Stefan-Boltzman law which describes the radiation heat transfer states that, it is proportional to (where, t = temperature in °C T = absolute temperature in ° K )

A. t4
B. T4
C. 1/t4
D. 1/T4
Answer» C. 1/t4
250.

Steam side heat transfer co-efficient in an evaporator is in the range of __________ kcal/hr.m2°C.

A. 10-50
B. 100-500
C. 1000-1500
D. 5000-15000
Answer» E.