# Multiple choice question for engineering

## Set 1

1. A cable of 10 mm outside is to be laid in an atmosphere of 25 degree Celsius (h = 12.5 W/m^{2 }degree) and its surface temperature is likely to be 75 degree Celsius due to heat generated within it. How would the heat flow from the cable be affected if it is insulated with rubber having thermal conductivity k = 0.15 W/m degree?

a) 43.80 W per meter length

b) 53.80 W per meter length

c) 63.80 W per meter length

d) 73.80 W per meter length

### View Answer

_{e}(r

_{c}/r

_{0}) = 53.80 W per meter length.

2. Chose the correct one with respect to critical radius of insulation

a) There is more heat loss i.e. conductive

b) There occurs a decrease in heat flux

c) Heat loss increases with addition of insulation

d) Heat loss decreases with addition of insulation

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3. A heat exchanger shell of outside radius 15 cm is to be insulated with glass wool of thermal conductivity 0.0825 W/m degree. The temperature at the surface is 280 degree Celsius and it can be assumed to remain constant after the layer of insulation has been applied to the shell. The convective film coefficient between the outside surface of glass wool and the surrounding air is estimated to be 8 W/m^{2} degree. What is the value of critical radius?

a) 9.31 mm

b) 10.31 mm

c) 11.31 mm

d) 12.31 mm

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4. For an object i.e. spherical the value of critical radius would be

a) 2k/3h

b) 3k/h

c) 2k/h

d) k/h

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5. Maximum value of critical radius is

a) 0.01 m

b) 0.04 m

c) 0.06 m

d) 0.0001 m

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6. An electric cable of aluminum (k = 240 W/ m degree) is to be insulated with rubber (k = 6 W/ square meter degree). If the cable is in air (h = 6 W/square meter degree). Find the critical radius?

a) 80 mm

b) 160 mm

c) 40 mm

d) 25 mm

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7. The value of critical radius in case of cylindrical hollow object is

a) 2k/h

b) 2h/k

c) k/h

d) h/k

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8. A wire of radius 3 mm and 1.25 m length is to be maintained at 60 degree Celsius by insulating it by a material of thermal conductivity 0.175 W/m K. The temperature of surrounding is 20 degree Celsius with heat transfer coefficient 8.5 W/ m^{2} K. Find percentage increase in heat loss due to insulation?

a) 134.46 %

b) 124.23 %

c) 100.00 %

d) 12.55 %

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9. A pipe of outside diameter 20 mm is to be insulated with asbestos which has a mean thermal conductivity of 0.1 W/m degree. The local coefficient of convective heat to the surroundings is 5 W/square meter degree. Find the critical radius of insulation for optimum heat transfer from pipe?

a) 10 mm

b) 20 mm

c) 30 mm

d) 40 mm

### View Answer

_{0}= 0.1/5 = 0.02 m = 20 mm.

10. For insulation to be properly effective in restricting heat transmission, the pipe radius r_{0} will be

a) Greater than critical radius

b) Less than critical radius

c) Equal to critical radius

d) Greater than or equal to critical radius

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## Set 2

1. Which of the following have a continuous spectrum?

a) Solids

b) Liquids

c) Gases

d) Solids and liquids

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2. Which of the following is/are known as selective absorbers?

a) Solids

b) Liquids

c) Gases and vapors

d) Vapors

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3. Which layers participated in the process of thermal radiation through solids and liquids?

a) 1 micron to 1 mm thick

b) 2 micron to 2 mm thick

c) 1 micron to 0.5 mm thick

d) 2 micron to 4.57 mm thick

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4. Some of the gases have low emissive power and absorptivity. They are considered practically diathermanous. Which of the following option is true?

a) Ammonia

b) Helium

c) Carbon-dioxide

d) Methane

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5. Consider an enclosure formed by three surfaces having the following values of shape factors, emissivities and temperatures

Surface 1 i.e. curved cylindrical has an emissivity 0.75 and temperature 800 K

Surface 2 i.e. closing disc has an emissivity 0.8 and temperature 700 K

Surface 3 i.e. closing disc has an emissivity 0.8 and temperature 700 K

The closing flat discs are 25 mm in diameter and they have interspacing distance equal to 100 mm. If the shape factor between these two identical discs is 0.05, calculate the net rate of radiant heat flow from the curve surface to each of the closing end surface

a) 1.561 W

b) 2.561 W

c) 3.561 W

d) 4.561 W

### View Answer

_{21 }+ F

_{23 }+ 1 and A

_{1 }= 0.00785 m

^{2}, A

_{2 }= 0.000491 m

^{2}. Then from reciprocity theorem, F

_{12 }= 0.0594. Q

_{12 }= F

_{12 }A

_{1 }σ

_{b }(T

_{1}

^{4 }– T

_{2}

^{4}) = 3.561 W.

6. Consider a beam of monochromatic radiation at wavelength λ that enters a layer of absorbing gas. As the beam passes through the gas layer, its intensity

a) Decreases

b) Increases

c) Become twice

d) Remains same

### View Answer

_{λ X }= – K

_{λ }I

_{λ X}d x.

7. When a gas or vapor is in the process of oxidation and combustion, it is called as

a) Oxidation

b) Flame

c) Reduction

d) Combustion

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8. The monochromatic absorption coefficient depends upon

(i) Temperature

(ii) Time

(iii) Pressure

(iv) Wavelength

Identify the correct option

a) 1, 2 and 4

b) 2, 3 and 4

c) 1 and 2

d) 1, 3 and 4

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9. Which one of the following is not extremely inert to thermal radiation?

a) Orgon

b) Oxygen

c) Methane

d) Nitrogen

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10. Consider a beam of monochromatic radiation at wavelength λ that enters a layer of absorbing gas. As the beam passes through the gas layer, its intensity is given by

a) d I _{λ X }= – K _{λ }I _{λ X} d x

b) d I _{λ X }= – 2 K _{λ }I _{λ X} d x

c) d I _{λ X }= – 3 K _{λ }I _{λ X} d x

d) d I _{λ X }= – 4 K _{λ }I _{λ X} d x

### View Answer

## Set 3

1. Consider two bodies, one absolutely back and the other non-black and let these be at same temperature. Which one of the following statement is correct?

a) Black body radiates less intensively than a non-black body

b) Non-black body radiates less intensively than a black body

c) Both will radiates equally

d) None of them will radiates

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2. When Stefan-Boltzmann law is applied to a black body, it takes the form

a) E = σ T

b) E = σ T ^{2}

c) E = σ T ^{3}

d) E = σ T ^{4}

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3. When the emissivity of non-black surface is constant at all temperatures and throughout the entire range of wavelength, the surface is called

a) Gray body

b) Transparent body

c) Opaque bodies

d) Perfect black body

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4. The emissivity of the gray surface may be expressed as

a) σ /2 σ _{b}

b) σ / 3 σ _{b}

c) σ / σ _{b}

d) ½ σ / σ _{b}

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5. If a black body at 1000 K and a gray body at 1250 K emit the same amount of radiation, what should be the emissivity of the gray body?

a) 0.3096

b) 0.4096

c) 0.5096

d) 0.6096

### View Answer

_{b}/T

_{G})

^{ 4 }= 0.4096.

6. The radiant heat transfer from a plate of 2.5 cm^{2} area at 1250 K to a very cold enclosure is 5.0 W. Determine the emissivity of the plate at this temperature

a) 0.444

b) 0.344

c) 0.244

d) 0.144

### View Answer

^{4}= 0.144.

7. A 100 W light bulb has a tungsten filament (emissivity = 0.30) which is required to operate at 2780 K. If the bulb is completely evacuated, calculate the minimum surface area of the tungsten filament

a) 0.98 * 10 ^{-4} m^{2}

b) 1.98 * 10 ^{-4} m^{2}

c) 2.98 * 10 ^{-4} m^{2}

d) 3.98 * 10 ^{-4} m^{2}

### View Answer

^{4}. So, A = 0.98 * 10

^{-4}m

^{2}.

8. The monochromatic emissivity € of a diffuse surface at 1600 K varies with wavelength in the following manner

€ = 0.4 for 0 < λ < 2

= 0.8 for 2 < λ < 5

Determine the total emissivity

a) 0.5558

b) 0.5568

c) 0.5578

d) 0.5588

### View Answer

9. For a hemisphere solid angle is measured as

a) Radian and its maximum value is π

b) Degree and its maximum value is 180 degree

c) Steradian and its maximum value is 2π

d) Steradian and its maximum value is π

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10. A gray body (E = 0.8) emits the same amount of heat as a black body at 1075 K. Find out the required temperature of the gray body

a) 1146.72 K

b) 1136.72 K

c) 1126.72 K

d) 1116.72 K

### View Answer

_{b}

^{4 }= E T

_{g}

^{4}.

## Set 4

1. Engineering problems of practical interest are involved with heat exchange between two or more surfaces, and this exchange is strongly dependent upon

(i) Radiative properties

(ii) Temperature levels

(iii) Surface geometrics

Identify the correct statements

a) 1 and 2

b) 1 and 3

c) 2 and 3

d) 1, 2 and 3

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2. The fraction of the radiative energy that is diffused from one surface element and strikes the other surface directly with no intervening reflections is called

(i) Radiation shape factor

(ii) Geometrical factor

(iii) Configuration factor

Choose the correct answer

a) 1 only

b) 2 only

c) 1, 2 and 3

d) 3 only

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3. The interchange factor is also known as

a) Equivalent emissivity

b) Irradiation

c) Radiosity

d) Shape factor

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4. For the same type of shapes, the value of radiation shape factor will be higher when

a) Surfaces are closer

b) Surfaces are larger and held closer

c) Surfaces are moved further apart

d) Surfaces are smaller and held closer

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5. A thin shield of emissivity E_{ 3} on both sides is placed between two infinite parallel plates of emissivities E_{ 1} and E _{2} and temperatures T _{1 }and T _{2}. If E_{ 1 }= E_{ 2} = E _{3}, then the fraction radiant energy transfer without shield takes the value

a) 0.25

b) 0.50

c) 0.75

d) 1.25

### View Answer

_{1}+ 1/E

_{2 }– 1)/ [(1/E

_{1}+ 1/E

_{3 }– 1) + (1/E

_{3}+ 1/E

_{2 }– 1)].

6. The grey body shape factor for radiant heat exchange between a small body (emissivity = 0.4) in a large enclosure (emissivity = 0.5) is

a) 0.1

b) 0.2

c) 0.4

d) 0.5

### View Answer

_{12}= 1/ (1 – E

_{ 1}+ 1 + 0).

7. Two long parallel surfaces, each of emissivity 0.7 are at different temperatures and accordingly have radiation exchange between them. It is desired to reduce 75% of this radiant heat transfer by inserting thin parallel shields of equal emissivity 0.7 on both sides. What should be the number of shields?

a) 2

b) 4

c) 1

d) 3

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8. An enclosure consists of four surfaces 1, 2, 3 and 4. The view factors for radiation heat transfers are

F _{11} = 0.1

F _{12} = 0.4

F _{13} = 0.25

The surface areas A _{1} and A_{ 2} are 4 m^{2} and 2 m^{2}. The view factor F _{41} is

a) 0.50

b) 0.75

c) 0.1

d) 0.25

### View Answer

_{11}+ F

_{12 }+ F

_{13 }+ F

_{14}= 1.

9. The value of shape factor depends on how many factors?

a) 4

b) 1

c) 2

d) 3

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10. Find the shape factor F _{12} for the arrangement shown in the figure. The areas A _{1 }and A_{ 2 }are perpendicular but do not share the common edge

a) 0.03

b) 0.04

c) 0.05

d) 0.06

### View Answer

_{ 5 }= A

_{1 }+ A

_{3 }and A

_{6 }= A

_{2 }+ A

_{4}. The sequence of the solution is, A

_{5}F

_{ 56 }= A

_{1 }F

_{16 }+ A

_{3}F

_{36}.

## Set 5

1. Capacity ratio is defined as the product of

a) Mass and temperature

b) Mass and specific heat

c) Specific heat and temperature

d) Time and temperature

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2. A single pass shell and tube heat exchanger, consisting of a bundle of 100 tubes (inner diameter 25 mm and thickness 2 mm) is used for heating 28 kg/s of water from 25 degree Celsius to 75 degree Celsius with the help of a steam condensing at atmospheric pressure on the shell side with condensing heat transfer coefficient 5000 W/m^{2 }degree. Make calculation for overall heat transfer coefficient based on the inner area. Take fouling factor on the water side to be 0.002 m^{2} degree/W per tube and neglect effect of fouling factor on the shell side and thermal resistance of the tube wall

a) 647.46 W/m^{2 }degree

b) 747.46 W/m^{2 }degree

c) 847.46 W/m^{2 }degree

d) 947.46 W/m^{2 }degree

### View Answer

_{c }c

_{c }(t

_{c2 }– t

_{c1}). Re = 7394, Pr = 3.53 and Nu = 47.41. I/U = I/h

_{I }+ R + r

_{i }/(r

_{0})

_{ }(h

_{0}).

3. Which of the following is not associated with heat exchanger?

a) Fouling

b) NTU

c) Capacity ratio

d) Mc Adam’s correction factor

### View Answer

4. The engine oil at 150 degree Celsius is cooled to 80 degree Celsius in a parallel flow heat exchanger by water entering at 25 degree Celsius and leaving at 60 degree Celsius. Estimate the exchanger effectiveness

a) 0.56

b) 0.66

c) 0.76

d) 0.86

### View Answer

_{h 1 }– t

_{h 2}) C

_{h}/C

_{MIN }(t

_{h 1 }– t

_{c 2}).

5. Consider the above problem, if the fluid flow rates and the inlet conditions remain unchanged, workout the lowest temperature to which the oil may be cooled by increasing length of the exchanger

a) 46.62 degree Celsius

b) 56.62 degree Celsius

c) 66.62 degree Celsius

d) 76.62 degree Celsius

### View Answer

6. In a surface condenser, the water flowing through a series of tubes at the rate of 200 kg/hr is heated from 15 degree Celsius to 75 degree Celsius. The steam condenses on the outside surface of tubes at atmospheric pressure and the overall heat transfer coefficient is estimated at 860 k J/m^{2} hr degree. Find the effectiveness of the heat exchanger. At the condensing pressure, stream has saturation temperature 0f 100 degree Celsius and the latent heat of vaporization is 2160 k J/kg. Further, the steam is initially just saturated and the condensate leaves the exchanger without sub-cooling i.e. only latent heat of condensing steam is transferred to water. Take specific heat of water as 4 k J/kg K

a) 0.224

b) 0.706

c) 2.224

d) 3.224

### View Answer

_{h }(t

_{h 1 }– t

_{h 2})/C

_{MIN }(t

_{h 1 }– t

_{c 2}).

7. Consider the above problem, find the tube length. Let the diameter of tube is 25 mm

a) 14.5 m

b) 15.5 m

c) 16.5 m

d) 17.5 m

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8. For evaporators and condensers, for the given conditions, the logarithmic mean temperature difference for parallel flow is

a) Does not depend on counter flow

b) Smaller than counter flow

c) Greater than counter flow

d) Equal to counter flow

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9. Water (specific heat = 4 k J/kg K) enters a cross flow exchanger (both fluids unmixed) at 15 degree Celsius and flows at the rate of 7.5 kg/s. It cools air (C _{P }= 1 k J/kg K) flowing at the rate of 10 kg/s from an inlet temperature of 120 degree Celsius. For an overall heat transfer coefficient of 780 k J/m^{2} hr degree and the surface area is 240 m^{2}, determine the NTU

a) 4.2

b) 5.2

c) 6.2

d) 7.2

### View Answer

_{MIN }= 5.2.

10. Consider the above problem, find the capacity ratio of the heat exchanger

a) 0.555

b) 0.444

c) 0.333

d) 0.222