This set of Heat Transfer Multiple Choice Questions & Answers (MCQs) focuses on “Dimensional Homogeneity”.

1. How is dimensional homogeneity related with fundamental units of measurements?

a) Independent

b) Dependent

c) Dependent but can vary

d) Twice

View Answer

Explanation: This implies that the length dimension can be added to subtract from only a length dimension.

2. What is the time period of oscillation of a simple pendulum of length L and mass m?

a) 2 π (L/g) ^{3/2}

b) 2 π (L/g)

c) 2 π (L/g) ^{2}

d) 2 π (L/g) ^{1/2 }

View Answer

Explanation: The time period of a simple pendulum means the time it takes for one complete revolution.

3. The principle of dimensional homogeneity serves the following useful concepts

(i) It helps to check whether an equation of any physical phenomenon is dimensionally homogenous or not

(ii) It helps to determine the dimensions of a physical quantity

(iii) It helps to convert the units from one system to another

Identify the correct statements

a) i and ii

b) ii and iii

c) i, ii and iii

d) ii only

View Answer

Explanation: It serves all the aspects.

4. The equation of friction loss in a pipe of length l and diameter d through which fluid flows with velocity v is

a) h _{i }= 4 f V ^{2}/d g

b) h _{i }= 4 f V ^{2}/d 2 g

c) h _{i }= 4 f V ^{2}/d 2 g

d) h _{i }= 4 f V ^{2}/2 g

View Answer

Explanation: Here f is any constant with no dimensions whatsoever.

5. Bernoulli’s equation for fluid flow along a stream line is given as

a) p/w + V ^{2}/2 g + y = 2

b) p/w + V/2 g + y = constant

c) p/w + V ^{2}/2 g + y = 1

d) p/w + V ^{2}/2 g + y = constant

View Answer

Explanation: This is the Bernoulli’s equation and is dimensionally homogenous.

6. The convective film coefficient in k cal/m^{2} hr degree can be converted to J/m^{2} s degree by multiplying it with a factor

a) 1.1627

b) 1.1527

c) 1.1427

d) 1.1327

View Answer

Explanation: Both k cal/m

^{2}hr degree and J/m

^{2}s are the units of convective film coefficient.

7. The pressure in kg/cm^{2} can be converted to N/m^{2} by multiplying it with a factor

a) 9.807 * 10 ^{2}

b) 9.807 * 10 ^{3}

c) 9.807 * 10 ^{4}

d) 9.807 * 10 ^{5}

View Answer

Explanation: Both kg/cm

^{2}and N/m

^{2 }are the units of pressure.

8. How many Newton’s are there in one kg?

a) 9.507

b) 9.607

c) 9.707

d) 9.807

View Answer

Explanation: 1 kg = 9.807 N. Newton is the unit of force and kg is the unit of mass.

9. How many Joule are there in 1 k cal?

a) 3186

b) 4186

c) 5186

d) 6186

View Answer

Explanation: 1 k cal = 4186 J. Joule is the unit of work done.

10. How many fundamental quantities are there?

a) 1

b) 2

c) 3

d) 4

View Answer

Explanation: These are M, L and T. M is mass, L is length and T is time.

**Sanfoundry Global Education & Learning Series – Heat Transfer.**

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