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Which of the following sets cannot enter into the list of fundamental quantities in any system of units? (a) length, mass and velocity ,(b) length, time and velocity ,(c) mass, time and velocity,(d) length, time and mass. Explain?
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Which of the following sets cannot enter into the list of fundamental ...
The correct option is Option b.
Mass is a fundamental quantity in any system of units.mass is the fundamental quantity but only option (b) is not having mass....and rest of the three options are having all the three fundamental quantities.
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Which of the following sets cannot enter into the list of fundamental ...
Understanding Fundamental Quantities
Fundamental quantities are the basic physical quantities that can be used to define other derived quantities. The most commonly recognized sets of fundamental quantities include length, mass, time, and sometimes electric current or temperature, depending on the system of units.

Analysis of the Given Sets
To identify which set cannot represent fundamental quantities, we analyze each option:

(a) Length, Mass, and Velocity
- **Velocity** is a derived quantity, calculated as length divided by time. Hence, this set cannot consist entirely of fundamental quantities.

(b) Length, Time, and Velocity
- Similar to option (a), **velocity** is also a derived quantity and cannot stand alone among fundamental quantities.

(c) Mass, Time, and Velocity
- This set features **velocity** again, which is derived. Therefore, this set cannot represent fundamental quantities.

(d) Length, Time, and Mass
- All three quantities in this set—**length**, **time**, and **mass**—are recognized as fundamental quantities in various systems of units, such as the International System of Units (SI).

Conclusion
Based on the analysis:
- Sets (a), (b), and (c) contain the derived quantity **velocity**, making them unsuitable as a complete list of fundamental quantities.
- Set (d) is the only valid set of fundamental quantities, making it the exception.
In summary, **(a)**, **(b)**, and **(c)** cannot enter into the list of fundamental quantities in any system of units due to the inclusion of derived quantities.
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Which of the following sets cannot enter into the list of fundamental quantities in any system of units? (a) length, mass and velocity ,(b) length, time and velocity ,(c) mass, time and velocity,(d) length, time and mass. Explain?
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