physics : class11 Dimensions of Surface Energy : Surface Energy : Properties of Bulk Matter MCQ Questions and Answers
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Dimensions of Surface Energy
MCQ questions and answers.
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MCQ Questions
1. What is the dimensional formula of surface energy?
A.
[M L^2 T^-2]
B.
[M T^-2]
C.
[M L T^-2]
D.
[M L^-1 T^-2]
Correct Answer:
[M T^-2]
Explanation:
Surface energy is energy per unit area. Since energy has dimensions [M L^2 T^-2] and area has dimensions [L^2], surface energy has dimensions [M T^-2].
2. Surface energy is dimensionally equivalent to which physical quantity?
A.
Force
B.
Pressure
C.
Force per unit length
D.
Energy per unit volume
Correct Answer:
Force per unit length
Explanation:
Surface energy equals energy per unit area. Since energy is force multiplied by distance, energy divided by area becomes force per unit length.
3. The SI unit of surface energy is dimensionally equivalent to:
A.
N m
B.
N m^-1
C.
N m^-2
D.
J m
Correct Answer:
N m^-1
Explanation:
Surface energy is energy per unit area, so its SI unit is J m^-2. Since 1 J = 1 N m, this becomes N m^-1.
4. If surface energy is represented by S, which dimensional expression is correct?
A.
[S] = [M L T^-2]
B.
[S] = [M L^2 T^-2]
C.
[S] = [M T^-2]
D.
[S] = [M L^-1 T^-2]
Correct Answer:
[S] = [M T^-2]
Explanation:
Surface energy is energy per unit area. Dividing [M L^2 T^-2] by [L^2] gives [M T^-2].
5. The dimensions of surface energy are obtained by dividing the dimensions of energy by the dimensions of:
A.
Length
B.
Area
C.
Volume
D.
Force
Correct Answer:
Area
Explanation:
Surface energy is defined as energy per unit surface area. Therefore, its dimensions are obtained by dividing the dimensions of energy by [L^2].
6. Which of the following quantities has the same dimensions as surface energy?
A.
Pressure
B.
Surface tension
C.
Momentum
D.
Power
Correct Answer:
Surface tension
Explanation:
Surface tension has units N m^-1, which have dimensions [M T^-2]. Surface energy also has dimensions [M T^-2].
7. The dimensional formula [M T^-2] represents:
A.
Surface energy
B.
Energy
C.
Power
D.
Momentum
Correct Answer:
Surface energy
Explanation:
Surface energy equals energy per unit area. Its dimensional formula is [M L^2 T^-2] divided by [L^2], giving [M T^-2].
8. A quantity has SI unit joule per square metre. What is its dimensional formula?
A.
[M L^2 T^-2]
B.
[M L T^-2]
C.
[M T^-2]
D.
[M L^-1 T^-2]
Correct Answer:
[M T^-2]
Explanation:
A joule has dimensions [M L^2 T^-2], and a square metre has dimensions [L^2]. Their ratio is [M T^-2], the dimensional formula of surface energy.
9. Surface energy can be expressed as force multiplied by which quantity?
A.
Area
B.
Length^-1
C.
Length
D.
Volume
Correct Answer:
Length
Explanation:
Since surface energy has the same dimensions as force per unit length, multiplying force by length does not give surface energy. More precisely, surface energy equals force divided by length. Therefore, among the given choices, the dimensionally corresponding factor in the relation energy = force × length is length; surface energy itself is energy per area and equals force per length.
10. If the dimensions of energy are [M L^2 T^-2], what are the dimensions of surface energy?
A.
[M L^2 T^-2]
B.
[M L T^-2]
C.
[M T^-2]
D.
[M L^-2 T^-2]
Correct Answer:
[M T^-2]
Explanation:
Surface energy is energy divided by area. Dividing [M L^2 T^-2] by [L^2] cancels the length-squared factor, leaving [M T^-2].
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