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# MCQs on Degrees of Freedom – I

The number of degrees of freedom is the number of variables in a set of independent equations to which values must be assigned so that the equations can be solved.

The above given statement is

a) True

b) False

c) Can`t say

d) None of the mentioned

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Answer: a

Explanation: The number of degrees of freedom is the number of variables in a set of independent equations to which values must be assigned so that the equations can be solved.

Nv represents

a) Number of variables

b) Number of equations

c) Number of free variables

d) None of the mentioned

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Answer: a

Explanation: Nv is the number of the variables.

Ne represents

a) Number of variables

b) Number of equations

c) Number of free variables

d) None of the mentioned

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Answer: b

Explanation: Ne is the number of the equations.

_________variables are included in the analysis in contrast with the degrees of freedom.

a) Intensive

b) Extensive

c) Both Extensive and Intensive

d) None of the mentioned

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Answer: c

Explanation: Intensive variables are included in the analysis in contrast with the degrees of freedom.

Gibbs phase rule for general system is

a) P+F=C-1

b) P+F=C+1

c) P+F=C-2

d) P+F=C+2

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Answer: d

Explanation: Gibbs phase rule for general system is, P+F=C+2.

The degree of freedom is zero for a single-component condensed system. What is the maximum number of phases that can co-exist?

a) 0

b) 1

c) 2

d) 3

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Answer: c

Explanation: Gibbs phase, P+F=C+2.

The degree of freedom at triple point in unary diagram for water zero.

The above give statement is

a) Correct

b) Incorrect

c) Partially correct

d) None of the mentioned

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Answer: a

Explanation: Gibbs phase rule, P+F=C+2.

A rigid body possesses ______________ degrees of freedom.

a) One

b) Two

c) Four

d) Six

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Answer: d

Explanation: It can have motion in six directions.

What is the degree of freedom for given sequence?

x = 3, 7, 4, 6, 9, 7, 2

a) One

b) Two

c) Four

d) Six

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Answer: d

Explanation: DF = n-1.

What is the degree of freedom for given sequence?

x = 16,15,18,13, 14, 46, 82

y = 22,21,19,16

a) One

b) Two

c) Four

d) Six

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Answer: a

Explanation: DF = n1-n2-2.