Question:

Which of the following has unit volt-metre\(^{-1}\)?

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Electric field is defined as the force per unit charge and has units of volt per meter (V/m).
  • Electric flux
  • Electric potential
  • Electric field
  • Electric capacity
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The Correct Option is C

Solution and Explanation

Step 1: Understanding the units.
The unit of electric field is defined as force per unit charge. In terms of SI units, it is expressed as: \[ \text{Electric field} = \frac{\text{Force}}{\text{Charge}} = \frac{\text{Newtons}}{\text{Coulombs}} = \text{N/C} \] Alternatively, it can also be written in terms of voltage and distance: \[ \text{Electric field} = \frac{\text{Voltage}}{\text{Distance}} = \frac{\text{V}}{\text{m}} = \text{volt/m} \] Step 2: Conclusion.
Thus, the unit of electric field is volt per metre (\(\text{V/m}\)), which is equivalent to volt-metre\(^{-1}\).
\[ \boxed{\text{Electric field}} \]
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