This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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Answer
Length, Luminous Intensity, Time, Mass
Step 1: List the given quantities.
Length, Density, Luminous Intensity, Time, Mass.
Step 2: Recall the SI fundamental quantities.
The seven base SI quantities are length, mass, time, electric current, thermodynamic temperature, amount of substance, and luminous intensity.
Step 3: Identify fundamental quantities from the list.
Fundamental quantities: Length, Luminous Intensity, Time, Mass.
Length, Luminous Intensity, Time, Mass
Part (b)
Step 1: Define fundamental quantities.
Fundamental quantities are the basic physical quantities that cannot be expressed in terms of other quantities. They form the foundation of the SI system (e.g., length, mass, time).
Step 2: Define derived quantities.
Derived quantities are obtained by multiplication or division of fundamental quantities (e.g., density = mass / length³).
Step 3: State the difference.
Fundamental quantities are independent and basic; derived quantities depend on fundamental ones and are combinations thereof.
Fundamental quantities are basic and independent; derived quantities are combinations of fundamental quantities.
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This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.