1. What is the dimensional symbol for thermodynamic temperature?
A.
[M]
B.
[L]
C.
[Θ]
D.
[T]
Correct Answer:
[Θ]
Explanation:
Thermodynamic temperature is a fundamental physical quantity, and its dimensional symbol is [Θ].
2. What is the dimensional formula of temperature in the SI system?
A.
M⁰L⁰T⁰Θ¹
B.
M¹L⁰T⁰Θ⁰
C.
M⁰L¹T⁰Θ⁰
D.
M⁰L⁰T¹Θ⁰
Correct Answer:
M⁰L⁰T⁰Θ¹
Explanation:
Temperature is an independent fundamental quantity, so its dimensional formula is M⁰L⁰T⁰Θ¹.
3. Which of the following represents the dimension of temperature difference?
A.
[M]
B.
[Θ]
C.
[L]
D.
[T]
Correct Answer:
[Θ]
Explanation:
A temperature difference has the same dimension as temperature itself, namely [Θ].
4. What is the dimensional formula of the Celsius temperature scale interval?
A.
M⁰L⁰T⁰Θ¹
B.
M¹L⁰T⁰Θ⁰
C.
M⁰L¹T⁰Θ⁰
D.
M⁰L⁰T⁰Θ⁰
Correct Answer:
M⁰L⁰T⁰Θ¹
Explanation:
A Celsius temperature interval measures temperature difference, so it has the dimension M⁰L⁰T⁰Θ¹.
5. Which SI base quantity has the dimension [Θ]?
A.
Length
B.
Mass
C.
Time
D.
Thermodynamic temperature
Correct Answer:
Thermodynamic temperature
Explanation:
The dimension [Θ] is assigned specifically to the fundamental quantity thermodynamic temperature.
6. If temperature is represented by θ, what is its dimensional formula?
A.
[θ]
B.
[Θ]
C.
[T]
D.
[M]
Correct Answer:
[Θ]
Explanation:
The symbol θ may denote temperature, but its dimensional symbol is [Θ].
7. What is the dimension of the Kelvin temperature interval?
A.
[L]
B.
[M]
C.
[Θ]
D.
[T]
Correct Answer:
[Θ]
Explanation:
A Kelvin interval represents a temperature difference, which has the dimension [Θ].
8. Which expression correctly gives the dimensions of absolute temperature T?
A.
M⁰L⁰T⁰Θ¹
B.
M¹L¹T⁻²Θ⁰
C.
M⁰L¹T⁻¹Θ⁰
D.
M¹L⁰T⁻¹Θ⁰
Correct Answer:
M⁰L⁰T⁰Θ¹
Explanation:
Absolute temperature is a fundamental quantity, so its dimensions contain one power of Θ and zero powers of other base dimensions.
9. The dimensional symbol [Θ] is independent of which set of dimensions?
A.
[M], [L], and [T]
B.
[L], [T], and [Θ]
C.
[M], [L], and [Θ]
D.
[M], [T], and [Θ]
Correct Answer:
[M], [L], and [T]
Explanation:
Temperature is a separate fundamental dimension and is independent of mass [M], length [L], and time [T].
10. What is the dimensional formula of a quantity equal to twice a temperature difference?
A.
M⁰L⁰T⁰Θ¹
B.
M⁰L⁰T⁰Θ²
C.
M¹L⁰T⁰Θ¹
D.
M⁰L¹T⁰Θ¹
Correct Answer:
M⁰L⁰T⁰Θ¹
Explanation:
Multiplying a temperature difference by the numerical factor 2 does not change its dimensions, so the result remains M⁰L⁰T⁰Θ¹.
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