a. it does not provide any knowledge of the mechanism

b. it is necessary to know theoretically the variables which influence the phenomena

c. both a. and b.

d. none of the above

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**ANSWER: c. both a. and b.**

a. to determine number of dependent dimensionless groups which are necessary to represent the phenomenon in a mathematical expression

b. to determine number of independent dimensionless groups which are necessary to represent the phenomenon in a mathematical expression

c. to determine number of dependent groups with their dimensions which are necessary to represent the phenomenon in a mathematical expression

d. to determine number of independent groups with their dimensions which are necessary to represent the phenomenon in a mathematical expression

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**ANSWER: b. to determine number of independent dimensionless groups which are necessary to represent the phenomenon in a mathematical expression**

a. [total number of physical quantities (n)] – [the number of primary dimensions (m) needed to express the dimensional formulae of n physical quantities]

b. [the number of primary dimensions (m) needed to express the dimensional formulae of n physical quantities] – [total number of physical quantities (n)]

c. [the number of primary dimensions (m) needed to express the dimensional formulae of n physical quantities] + [total number of physical quantities (n)]

d. [the number of primary dimensions (m) needed to express the dimensional formulae of n physical quantities] x [total number of physical quantities (n)]

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**ANSWER: a. [total number of physical quantities (n)] – [the number of primary dimensions (m) needed to express the dimensional formulae of n physical quantities]**

a. length (L)

b. time (t)

c. temperature (T)

d. all of the above

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**ANSWER: d. all of the above**

a. [M L t

b. [M L

c. [M L

d. [M L

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**ANSWER: b. [M L ^{2} t^{– 2} ]**

a. power

b. force

c. pressure

d. heat

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**ANSWER: c. pressure**

a. (Re) = (D v ρ) / μ

b. (Re) = (D ρ μ) / v

c. (Re) = (D v μ) / ρ

d. none of the above

Where,

ρ = density of the fluid

μ = viscosity of the fluid

D = tube diameter through which fluid is flowing

v = velocity of the fluid

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**ANSWER: a. (Re) = (D v ρ) / μ**

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