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Which physical quantity has unit NC^(-1)...

Which physical quantity has unit `NC^(-1)` ? Is it a vector or scalar quantity?

A

Electric field, vector

B

Electric potential

C

kinetic energy

D

Potential Energy

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to identify the physical quantity that has the unit of Newton per coulomb (NC^(-1)) and determine if it is a vector or scalar quantity. ### Step-by-Step Solution: 1. **Understanding the Units**: - The unit given is Newton per coulomb (N/C). - Newton (N) is the unit of force, and coulomb (C) is the unit of electric charge. 2. **Relating to Electric Field**: - The electric field (E) is defined as the force (F) experienced by a unit charge (Q). The formula for electric field is given by: \[ E = \frac{F}{Q} \] - Here, the unit of force (F) is Newton (N), and the unit of charge (Q) is coulomb (C). 3. **Deriving the Unit of Electric Field**: - Substituting the units into the formula for electric field: \[ E = \frac{N}{C} \] - This shows that the unit of electric field is indeed Newton per coulomb (N/C). 4. **Determining the Nature of Electric Field**: - Electric field is a vector quantity. This is because it has both magnitude (how strong the field is) and direction (the direction in which a positive charge would move). 5. **Conclusion**: - The physical quantity that has the unit of Newton per coulomb (N/C) is the electric field. - The electric field is a vector quantity. ### Final Answer: The physical quantity with the unit `NC^(-1)` is the electric field, and it is a vector quantity.

To solve the question, we need to identify the physical quantity that has the unit of Newton per coulomb (NC^(-1)) and determine if it is a vector or scalar quantity. ### Step-by-Step Solution: 1. **Understanding the Units**: - The unit given is Newton per coulomb (N/C). - Newton (N) is the unit of force, and coulomb (C) is the unit of electric charge. ...
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Knowledge Check

  • United physical quantity

    A
    can have non-zero dimensions
    B
    cannot have non-zero dimensions
    C
    must have zero dimensions
    D
    does not exist
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