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Can you explain the answer of this question below:
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
The answer is B.
Verified Answer
Can you explain the answer of this question below:Which of the followi...
We define length and time separately as it is not possible to define velocity without using these quantities. This means that one fundamental quantity depends on the other. So, these quantities cannot be listed as fundamental quantities in any system of units.
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Most Upvoted Answer
Can you explain the answer of this question below:Which of the followi...
**Explanation:**
In any system of units, there are certain fundamental quantities that are chosen as the base units and all other derived units are expressed in terms of these base units. The fundamental quantities are chosen in such a way that they are independent and cannot be derived from each other.
Let's analyze each option and see if it can enter into the list of fundamental quantities in any system of units:
**a) length, mass, and velocity:**
- Length and mass can be chosen as fundamental quantities in a system of units.
- However, velocity can be derived from length and time (velocity = distance/time). Therefore, velocity cannot be a fundamental quantity.
**b) length, time, and velocity:**
- Length and time can be chosen as fundamental quantities in a system of units.
- However, velocity can be derived from length and time (velocity = distance/time). Therefore, velocity cannot be a fundamental quantity.
**c) mass, time, and velocity:**
- Mass and time can be chosen as fundamental quantities in a system of units.
- However, velocity can be derived from mass, length, and time (velocity = distance/time). Therefore, velocity cannot be a fundamental quantity.
**d) length, time, and mass:**
- Length, time, and mass can all be chosen as fundamental quantities in a system of units.
- None of these quantities can be derived from each other. Therefore, all three can be fundamental quantities.
Therefore, the set that cannot enter into the list of fundamental quantities in any system of units is **option B** (length, time, and velocity). Velocity can be derived from length and time, so it cannot be a fundamental quantity.
In any system of units, there are certain fundamental quantities that are chosen as the base units and all other derived units are expressed in terms of these base units. The fundamental quantities are chosen in such a way that they are independent and cannot be derived from each other.
Let's analyze each option and see if it can enter into the list of fundamental quantities in any system of units:
**a) length, mass, and velocity:**
- Length and mass can be chosen as fundamental quantities in a system of units.
- However, velocity can be derived from length and time (velocity = distance/time). Therefore, velocity cannot be a fundamental quantity.
**b) length, time, and velocity:**
- Length and time can be chosen as fundamental quantities in a system of units.
- However, velocity can be derived from length and time (velocity = distance/time). Therefore, velocity cannot be a fundamental quantity.
**c) mass, time, and velocity:**
- Mass and time can be chosen as fundamental quantities in a system of units.
- However, velocity can be derived from mass, length, and time (velocity = distance/time). Therefore, velocity cannot be a fundamental quantity.
**d) length, time, and mass:**
- Length, time, and mass can all be chosen as fundamental quantities in a system of units.
- None of these quantities can be derived from each other. Therefore, all three can be fundamental quantities.
Therefore, the set that cannot enter into the list of fundamental quantities in any system of units is **option B** (length, time, and velocity). Velocity can be derived from length and time, so it cannot be a fundamental quantity.
Community Answer
Can you explain the answer of this question below:Which of the followi...
B is the correct answer
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Can you explain the answer of this question below:Which of the following sets cannot enter into the list of fundamental quantities in any system of units ?A:length, mass and velocityB:length, time and velocityC:mass, time and velocityD:length, time and massThe answer is B.
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