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Which one of the following statements is...

Which one of the following statements is true ?

A

A scalar quantity is the one that is conserved in a process.

B

A scalar quantity is the one that can never take negative values.

C

A scalar quantity is the one that does not vary from one point to another in space .

D

A scalar quantity has the same value for observers with different orientations of the axes.

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The correct Answer is:
To solve the question regarding which statement about scalar quantities is true, we will analyze each option systematically. ### Step-by-step Solution: 1. **Understanding Scalar Quantities**: - Scalar quantities are physical quantities that have magnitude but no direction. Examples include mass, temperature, and speed. 2. **Analyzing Option 1**: - **Statement**: "A scalar quantity is the one that is conserved in a process." - **Analysis**: This statement is incorrect. Not all scalar quantities are conserved. For example, speed can change depending on the medium (like the speed of light in different media). 3. **Analyzing Option 2**: - **Statement**: "A scalar quantity is the one that can never take negative values." - **Analysis**: This statement is also incorrect. Scalar quantities can take negative values. For instance, electric charge is a scalar quantity and can be positive or negative. 4. **Analyzing Option 3**: - **Statement**: "A scalar quantity is the one that does not vary from one point to another in space." - **Analysis**: This statement is incorrect as well. Scalar quantities can vary from one point to another. For example, temperature can vary from one location to another. 5. **Analyzing Option 4**: - **Statement**: "A scalar quantity has the same value for observers with different orientations of the axis." - **Analysis**: This statement is true. Scalar quantities are independent of the orientation of the coordinate system. For instance, mass remains the same regardless of how you look at it. ### Conclusion: The correct answer is **Option 4**: "A scalar quantity has the same value for observers with different orientations of the axis." ---

To solve the question regarding which statement about scalar quantities is true, we will analyze each option systematically. ### Step-by-step Solution: 1. **Understanding Scalar Quantities**: - Scalar quantities are physical quantities that have magnitude but no direction. Examples include mass, temperature, and speed. 2. **Analyzing Option 1**: ...
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