The set of quantities which can form a group of fundamental quantities in any system of measurement is

Options

A. Velocity, Acceleration and Force
B. Energy, Velocity and Time
C. Force, Power and Time
D. all the above

Answer

To solve the question regarding the set of quantities that can form a group of fundamental quantities in any system of measurement, we will analyze the provided combinations of quantities and determine if they include the fundamental quantities.

### Step-by-Step Solution:

1. **Identify Fundamental Quantities**:
The fundamental quantities in physics are:
- Mass (M)
- Length (L)
- Time (T)
- Electric Current (I)
- Temperature (Θ)
- Amount of Substance (N)
- Luminous Intensity (J)

2. **Analyze the First Combination**:
The first combination consists of:
- Velocity (V = L/T)
- Acceleration (A = L/T²)
- Force (F = M*L/T²)

Here, we can see that:
- Length (L) is present.
- Time (T) is present.
- Mass (M) is present.

This combination includes all three fundamental quantities: Mass, Length, and Time.

3. **Analyze the Second Combination**:
The second combination consists of:
- Energy (E = M*L²/T²)
- Velocity (V = L/T)
- Time (T)

Here, we can see that:
- Length (L) is present.
- Time (T) is present.
- Mass (M) is also present in the energy formula.

This combination also includes all three fundamental quantities: Mass, Length, and Time.

4. **Analyze the Third Combination**:
The third combination consists of:
- Force (F = M*L/T²)
- Power (P = Work done / Time = M*L²/T³)
- Time (T)

Here, we can see that:
- Length (L) is present.
- Time (T) is present.
- Mass (M) is present in both force and power formulas.

This combination also includes all three fundamental quantities: Mass, Length, and Time.

5. **Conclusion**:
Since all three combinations analyzed (velocity, acceleration, force; energy, velocity, time; force, power, time) contain the fundamental quantities of mass, length, and time, we can conclude that all the combinations are valid.

6. **Final Answer**:
Therefore, the correct answer to the question is: **All the above**.