Dimensions of Luminous Intensity MCQ Questions and Answers
1. What is the dimensional formula of luminous intensity?
A. [M L T^-2]
B. [I]
C. [M^0 L^0 T^0]
D. [M L^2 T^-3]
Correct Answer:
[I]
Explanation:
Luminous intensity is a fundamental physical quantity, so its dimensional formula is represented by [I].
2. Which SI base unit is used to measure luminous intensity?
A. Lumen
B. Lux
C. Candela
D. Watt
Correct Answer:
Candela
Explanation:
The SI base unit of luminous intensity is candela, represented by cd.
3. Luminous intensity is classified as which type of physical quantity?
A. Derived quantity
B. Dimensionless quantity
C. Fundamental quantity
D. Vector quantity only
Correct Answer:
Fundamental quantity
Explanation:
Luminous intensity is one of the seven SI base quantities, so it is a fundamental quantity.
4. If luminous intensity is represented by the symbol I, its dimension is written as:
A. [I]
B. [M]
C. [L]
D. [T]
Correct Answer:
[I]
Explanation:
The dimension of luminous intensity is represented by the symbol [I] when I denotes luminous intensity.
5. Which of the following correctly represents the dimensional formula of one candela?
A. [M L T^-1]
B. [I]
C. [M^0 L^0 T^0]
D. [M L^2 T^-2]
Correct Answer:
[I]
Explanation:
Candela is the SI unit of luminous intensity, whose dimensional formula is [I].
6. The dimension of luminous intensity contains which fundamental dimension?
A. Mass
B. Length
C. Time
D. Luminous intensity
Correct Answer:
Luminous intensity
Explanation:
Luminous intensity has its own independent fundamental dimension, represented by [I].
7. What is the dimensional symbol generally used for luminous intensity in SI dimensional analysis?
A. [N]
B. [J]
C. [I]
D. [K]
Correct Answer:
[I]
Explanation:
The SI dimensional symbol for luminous intensity is [I], distinguishing it from other base quantities.
8. Which statement about the dimensions of luminous intensity is correct?
A. It can be expressed in terms of mass, length, and time.
B. It has the independent dimension [I].
C. It has no dimensions because it is related to light.
D. It has the dimension [M L^2 T^-3].
Correct Answer:
It has the independent dimension [I].
Explanation:
Luminous intensity is a base quantity with an independent dimension represented by [I].
9. Which pair correctly matches luminous intensity with its dimensional formula?
A. Candela — [I]
B. Lumen — [M L T^-2]
C. Lux — [M L^2 T^-3]
D. Watt — [I]
Correct Answer:
Candela — [I]
Explanation:
Candela is the SI unit of luminous intensity, and the dimensional formula of luminous intensity is [I].
10. The dimensional formula of luminous intensity is independent of which set of dimensions?
A. Mass, length, and time
B. Temperature, amount of substance, and electric current
C. All other base dimensions
D. Only length and time
Correct Answer:
All other base dimensions
Explanation:
Luminous intensity is an independent SI base quantity, so its dimension [I] is not expressed using the dimensions of other base quantities.
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