Question

Name the physical quantity whose unit is $Volt.\,Amper{e^{ - 1}}$.

Answer 1

Hint:To find the physical quantity, first we would find the terms associated with unit volt and ampere respectively. Then we can check the dimensions and get the desired result. Let us proceed to understand. We can further read some of the properties related to it.

Complete answer:
Voltage is the difference in electric potential between two points. The SI unit for voltage (potential difference) is volt.An electric current is the net rate of flow of electric charge. The SI unit of electric current is the ampere, or amp, which is the flow of electric charge across a surface at the rate of one coulomb per second.

The physical quantity having unit $Volt.\,Amper{e^{ - 1}}$ is known as resistance. The resistance R of an object is defined as the ratio of voltage V across it to current I through it.
$\text{Resistance}= \dfrac{\text{Voltage}}{\text{Current}} \\
\Rightarrow \text{Resistance}= \dfrac{\text{Volt}}{\text{Ampere}} \\
\Rightarrow \text{Resistance}= ohms(\Omega )$

The dimensions of resistance is $M{L^2}{T^{ - 3}}{I^{ - 2}}$ where $M$ is mass, $L$ is length, $T$ is time, and $I$ is electric current. Resistance is a measure of the opposition to current flow in an electrical circuit.

Hence, the physical quantity having unit $Volt.\,Amper{e^{ - 1}}$ is known as resistance.

Note: The electrical resistance of a conductor is dependent on the following factors: the cross-sectional area of the conductor, length and material of the conductor and the temperature of the conducting material. Insulators have a higher value of resistivity than that of conductors. As the temperature increases, the resistance of pure metals increases while the resistance of insulators decreases. Superconductors have resistance almost equal to zero.