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Which of the following is different from...

Which of the following is different from others ?

A

Speed

B

Density

C

Force

D

Time

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the following quantities is different from the others, we need to classify each option as either a scalar quantity or a vector quantity. ### Step-by-Step Solution: 1. **Identify the Options**: - Option 1: Speed - Option 2: Density - Option 3: Force - Option 4: Time 2. **Classify Each Quantity**: - **Speed**: Speed is defined as the distance traveled per unit of time. It only has magnitude and no direction. Therefore, speed is a **scalar quantity**. - **Density**: Density is defined as mass per unit volume. Both mass and volume are scalar quantities, so density is also a **scalar quantity**. - **Force**: Force is defined by Newton's second law as mass times acceleration (F = ma). Force has both magnitude and direction (e.g., 10 N to the right). Therefore, force is a **vector quantity**. - **Time**: Time is a measure of duration and does not have direction. Thus, time is a **scalar quantity**. 3. **Compare the Classifications**: - Speed: Scalar - Density: Scalar - Force: Vector - Time: Scalar 4. **Identify the Different Quantity**: - From the classifications, we see that speed, density, and time are all scalar quantities, while force is the only vector quantity. 5. **Conclusion**: - The quantity that is different from the others is **Force**. ### Final Answer: **Force** is the quantity that is different from the others. ---

To determine which of the following quantities is different from the others, we need to classify each option as either a scalar quantity or a vector quantity. ### Step-by-Step Solution: 1. **Identify the Options**: - Option 1: Speed - Option 2: Density - Option 3: Force ...
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