which one of the following statement is false ?

Options

A. A vector cannot be displaced from one point to another point
B. Distance is a scalar quantity but displacement is a vector quantity
C. Momentum force and torque are vector quantites
D. Mass, speed and energy are scalar quantities

Answer

To solve the question "Which one of the following statements is false?" we need to analyze each of the provided statements regarding vectors and scalars.

### Step-by-Step Solution:

1. **Examine Option 1**: "A vector cannot be displaced from one point to another point."
- **Analysis**: This statement is false. Vectors can be moved or translated parallel to themselves without changing their properties. This is known as the principle of vector translation. Therefore, this statement is incorrect.

2. **Examine Option 2**: "Distance is a scalar quantity but displacement is a vector quantity."
- **Analysis**: This statement is true. Distance is defined as the total path length traveled and has only magnitude, making it a scalar quantity. Displacement, on the other hand, is defined as the shortest distance from the initial to the final position and has both magnitude and direction, making it a vector quantity.

3. **Examine Option 3**: "Momentum, force, and torque are vector quantities."
- **Analysis**: This statement is true. Momentum is defined as the product of mass and velocity (a vector), force is the product of mass and acceleration (also a vector), and torque is defined as the cross product of force and distance (a vector). All these quantities have both magnitude and direction.

4. **Examine Option 4**: "Mass, speed, and energy are scalar quantities."
- **Analysis**: This statement is true. Mass is a measure of the amount of matter and has only magnitude. Speed is the rate of change of distance and has only magnitude. Energy is the capacity to do work and also has only magnitude. Thus, all these quantities are scalar.

### Conclusion:
After analyzing all the options, we find that:
- Option 1 is the false statement.
- Options 2, 3, and 4 are true statements.

Therefore, the answer to the question is **Option 1**.

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