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which one of the following is a scalar ...

which one of the following is a scalar quantity?

A

Dipole moment

B

Electric field

C

Acceleration

D

work

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the given options is a scalar quantity, we will analyze each option one by one. ### Step 1: Understand the definitions - **Scalar Quantity**: A quantity that has only magnitude and no direction. - **Vector Quantity**: A quantity that has both magnitude and direction. ### Step 2: Analyze each option 1. **Dipole Moment**: - The dipole moment is defined as the product of the charge and the distance separating the charges, and it has a specific direction (from negative to positive charge). - **Conclusion**: Dipole moment is a vector quantity. 2. **Electric Field**: - The electric field is defined as the force per unit charge experienced by a positive test charge placed in the field. It has a direction (away from positive charges and towards negative charges). - **Conclusion**: Electric field is a vector quantity. 3. **Acceleration**: - Acceleration is defined as the rate of change of velocity. It has a direction (indicating whether the speed is increasing or decreasing). - **Conclusion**: Acceleration is a vector quantity. 4. **Work**: - Work is defined as the dot product of force and displacement. The dot product results in a quantity that has only magnitude and no direction. - **Conclusion**: Work is a scalar quantity. ### Step 3: Identify the scalar quantity From the analysis above, the only scalar quantity among the options provided is **Work**. ### Final Answer: The scalar quantity from the given options is **Work**. ---
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Knowledge Check

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